DOI10.1007/BF00250907zbMath0582.73004OpenAlexW4213306718MaRDI QIDQ1068573
B. George
Publication date: 1985
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00250907
A gradient approach to localization of deformation. I. Hyperelastic materials,
Computational aspects of the mechanics of complex materials,
Existence and stability of time periodic solution to the compressible Navier-Stokes-Korteweg system on \(\mathbb{R}^3\),
Singular curves in the resultant thermomechanics of shells,
A phase field approach in the numerical study of the elastic bending energy for vesicle membranes,
Relative entropy method for the relaxation limit of hydrodynamic models,
On shear bands in unloaded crystals,
Entropy principle and recent results in non-equilibrium theories,
Thermodynamics-based gradient plasticity theories with an application to interface models,
On a stress-power-based characterization of second-gradient elastic fluids,
Global well-posedness of the 3D non-isothermal compressible fluid model of Korteweg type,
On the compressible Navier-Stokes-Korteweg equations,
Mindlin's micro-structural and gradient elasticity theories and their thermodynamics,
Stability of spherical isothermal liquid-vapor interfaces,
Phase-field evolution in Cahn-Hilliard-Korteweg fluids,
Finite-speed heat propagation as a consequence of microstructural changes,
Thermodynamical frameworks for higher grade material theories with internal variables or additional degrees of freedom,
Functional entropy variables: a new methodology for deriving thermodynamically consistent algorithms for complex fluids, with particular reference to the isothermal Navier-Stokes-Korteweg equations,
Open boundary conditions for the diffuse interface model in 1-D,
Refined resultant thermomechanics of shells,
Navier's slip problem for motion of inhomogeneous incompressible fluid-like bodies,
Existence of global weak solution for compressible fluid models of Korteweg type,
On thermostatics of non-simple materials with memory,
Comment to ``Hypertractions and hyperstresses convey the same mechanical information`` by Prof. Podio-Guidugli and Prof. Vianello and some related papers on higher gradient theories,
Thermodynamics of nonlocal materials: extra fluxes and internal powers,
Toward a nonequilibrium thermodynamics of two-phase materials,
Two-dimensional flows of a viscous binary fluid between moving solid boundaries,
A comparison of models for the evaporation of the Lennard-Jones fluid,
On the kinetic theory of a dense gas of rough spheres,
On the first principle of thermodynamics for simple materials,
Asymptotic behavior of Navier-Stokes-Korteweg with friction in \(\mathbb R^3\),
A nonlocal rate-type viscoplastic approach to patterning of deformation,
How contact interactions may depend on the shape of Cauchy cuts in \(N\)th gradient continua: approach ``à la d'Alembert, Fluids of differential type: Critical review and thermodynamic analysis, Pattern formation in plasticity, Moving contact lines in the Cahn-Hilliard theory, On steady motions in thermodynamics, Global smooth solutions to the nonisothermal compressible fluid models of Korteweg type with large initial data, An asymptotic-preserving method for a relaxation of the Navier-Stokes-Korteweg equations, Global existence and semiclassical limit for quantum hydrodynamic equations with viscosity and heat conduction, Linear stability analysis for a Korteweg fluid, On the thermodynamics of Korteweg fluids with heat conduction and viscosity, Global existence and optimal \(L^2\) decay rate for the strong solutions to the compressible fluid models of Korteweg type, Phase separation in quasi-incompressible Cahn-Hilliard fluids, A unified residual-based thermodynamic framework for strain gradient theories of plasticity, Constrained ephemeral continua, Gradient elasticity based on Laplacians of stress and strain, Asymptotic stability of strong rarefaction waves for the compressible fluid models of Korteweg type, Global existence of weak solutions for the Navier-Stokes equations with capillarity on the half-line, Unified thermodynamic framework for nonlocal/gradient continuum theories, Blow-up of compressible Navier-Stokes-Korteweg equations, Nonlinear stability of traveling wave solutions for the compressible fluid models of Korteweg type, Isogeometric analysis of the isothermal Navier-Stokes-Korteweg equations, Geometry and balance of hyperstresses, A remark on the global existence of weak solutions to the compressible quantum Navier-Stokes equations, Existence of strong solutions to the stationary compressible Navier-Stokes-Korteweg equations with large external force, On compressible Korteweg fluid-like materials, Vanishing viscosity limit to rarefaction waves for the full compressible fluid models of Korteweg type, Decay rates of the compressible Navier-Stokes-Korteweg equations with potential forces, Strong solutions for a compressible fluid model of Korteweg type, Global existence and optimal decay rate of the compressible Navier-Stokes-Korteweg equations with external force, Numerical solution of Navier-Stokes-Korteweg systems by local discontinuous Galerkin methods in multiple space dimensions, Long-time behavior of solution for the compressible Navier-Stokes-Korteweg equations in \(\mathbb{R}^3\), The \(L^p\) energy methods and decay for the compressible Navier-Stokes equations with capillarity, Models of two-phase fluid dynamics à la Allen-Cahn, Cahn-Hilliard, and \(\ldots\) Korteweg!, Strong solutions to compressible-incompressible two-phase flows with phase transitions, Relative energy for the Korteweg theory and related Hamiltonian flows in gas dynamics, Global strong solution for the Korteweg system with quantum pressure in dimension \(N\geq 2\), Numerical approximation of von Kármán viscoelastic plates, Phase-field and Korteweg-type models for the time-dependent flow of compressible two-phase fluids, Global large solutions and optimal time-decay estimates to the Korteweg system, Blow-up of smooth solutions to the compressible fluid models of Korteweg type, Effective velocity in compressible Navier-Stokes equations with third-order derivatives, Different thermodynamic theories and different heat conduction laws, Global well-posedness and time-decay estimates of the compressible Navier-Stokes-Korteweg system in critical Besov spaces, A new perspective on the form of the first and second laws in rational thermodynamics: Korteweg fluids as an example, A high-order finite volume method with improved isotherms reconstruction for the computation of multiphase flows using the Navier-Stokes-Korteweg equations, Convergence to the superposition of rarefaction waves and contact discontinuity for the 1-D compressible Navier-Stokes-Korteweg system, A class of global large solutions to the compressible Navier-Stokes-Korteweg system in critical Besov spaces, Weakly nonlocal thermodynamics of binary mixtures of Korteweg fluids with two velocities and two temperatures, Phase transitions in non-simple bodies, Hypertractions and hyperstresses convey the same mechanical information, Existence and regularity for a model of viscous oriented fluid accounting for second-neighbor spin-to-spin interactions, Conservation of energy for the Euler-Korteweg equations, Liquid-vapor transformations with surfactants. Phase-field model and isogeometric analysis, Quasineutral limit for the quantum Navier-Stokes-Poisson equations, Global existence of finite energy weak solutions to the quantum Navier-Stokes equations with non-trivial far-field behavior, Compressible-incompressible two-phase flows with phase transition: model problem, Interpretation of second law of thermodynamics in the presence of interfaces, Large-time behavior of smooth solutions to the isothermal compressible fluid models of Korteweg type with large initial data, Local well posedness of the Euler-Korteweg equations on \({{\mathbb{T}}^d} \), A nonlocal strain gradient plasticity theory for finite deformations, Existence of strong solutions for nonisothermal Korteweg system, Derivation of von Kármán plate theory in the framework of three-dimensional viscoelasticity, Phase boundary solutions to model kinetic equations via the Conley index theory. I, Continua with latent microstructure, Model of a weakly non-local relaxing compressible medium, Asymptotic limit of a Navier-Stokes-Korteweg system with density-dependent viscosity, Solidification and separation in saline water, A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method, Nonconventional thermodynamics, indeterminate couple stress elasticity and heat conduction, Dissipative structure for symmetric hyperbolic-parabolic systems with Korteweg-type dispersion, Vanishing Capillarity Limit of the Navier--Stokes--Korteweg System in One Dimension with Degenerate Viscosity Coefficient and Discontinuous Initial Density, Hyperbolic balance laws: modeling, analysis, and numerics. Abstracts from the workshop held February 28 -- March 6, 2021 (hybrid meeting), A nonhomogeneous nonlocal elasticity model, A nonlocal phase-field model of Ginzburg-Landau-Korteweg fluids, Gradient Polyconvexity and Modeling of Shape Memory Alloys, Stability of the planar rarefaction wave to three-dimensional full compressible Navier-Stokes-Korteweg equations, From Boltzmann to Euler: Hilbert's 6th problem revisited, Vanishing capillarity limit of the compressible non-isentropic Navier-Stokes-Korteweg system to Navier-Stokes system, The Problem with Hilbert’s 6th Problem, Liquid-vapor phase transition: thermomechanical theory, entropy stable numerical formulation, and boiling simulations, On Some Compressible Fluid Models: Korteweg, Lubrication, and Shallow Water Systems, Dissipative structure of one-dimensional isothermal compressible fluids of Korteweg type, Finite Energy Method for Compressible Fluids: The Navier‐Stokes‐Korteweg Model, A global existence result for Korteweg system in the critical \(L^P\) framework, Energy consistent discontinuous Galerkin methods for the Navier–Stokes–Korteweg system, On the well-posedness of the compressible Navier-Stokes-Korteweg system with special viscosity and capillarity, The role of the relative fluid velocity in an objective continuum theory of finite strain poroelasticity, Asymptotic limit of the Navier-Stokes-Poisson-Korteweg system in the half-space, Pointwise space-time behavior of a compressible Navier-Stokes-Korteweg system in dimension three, Blow-up of Classical Solutions to the Isentropic Compressible Barotropic Navier-Stokes-Langevin-Korteweg Equations, Asymptotic stability of rarefaction wave for the compressible Navier‐Stokes‐Korteweg equations in the half space, On the Euler-Korteweg system with free boundary condition, Global existence of finite energy weak solutions of quantum Navier-Stokes equations, Zero-viscosity-capillarity limit to the planar rarefaction wave for the 2D compressible Navier-Stokes-Korteweg equations, Asymptotic profiles and convergence rate of the compressible fluid models of Korteweg type, Large-time behavior of solutions in the critical spaces for the non-isentropic compressible Navier-Stokes equations with capillarity, Strong solutions for the compressible barotropic fluid model of Korteweg type in the bounded domain, Discrete velocity models of the Enskog-Vlasov equation, Radius of analyticity of solutions to compressible Navier–Stokes–Korteweg system, On the global existence of weak solution for a multiphasic incompressible fluid model with Korteweg stress, Weakly non-local fluid mechanics: the Schrödinger equation, Lower bound of decay rate for higher-order derivatives of solution to the compressible fluid models of Korteweg type, Global classical solutions to the 3D Navier–Stokes–Korteweg equations with small initial energy, The existence of global solutions for the full Navier-Stokes-Korteweg system of van der Waals gas, On Navier-Stokes-Korteweg and Euler-Korteweg systems: application to quantum fluids models, Optimization of consistent two-equation models for thin film flows, Compressible Fluid Model of Korteweg Type with Free Boundary Condition: Model Problem, Isogeometric Phase-Field Simulation of Boiling, Convergence of a low order non-local Navier–Stokes–Korteweg system: The order-parameter model, An intrinsically hydrodynamic approach to multidimensional QHD systems, Optimal decay rates for the compressible fluid models of Korteweg type, Small collaboration: Advanced numerical methods for nonlinear hyperbolic balance laws and their applications. Abstracts from the small collaboration held August 29 -- September 4, 2021 (hybrid meeting), Global existence of weak solutions to the Navier-Stokes-Korteweg equations, Phase transitions and traveling waves in compressible fluids, Existence and nonlinear stability of stationary solutions to the full compressible Navier-Stokes-Korteweg system, On the compactness of finite energy weak solutions to the quantum Navier–Stokes equations, On a Lagrangian method for the convergence from a non-local to a local Korteweg capillary fluid model, Local in time results for local and non-local capillary Navier-Stokes systems with large data, Spectral stability of weak dispersive shock profiles for quantum hydrodynamics with nonlinear viscosity, Second-neighbor interactions in classical field theories: invariance of the relative power and covariance, Global stability of combination of a viscous contact wave with rarefaction waves for the compressible fluid models of Korteweg type, Homogenization of a nonlinear elastic fibre-reinforced composite: a second gradient nonlinear elastic material, Asymptotic stability of the stationary solution to an out-flow problem for the Navier-Stokes-Korteweg equations of compressible fluids, Global existence, uniqueness and exponential stability of solutions for the one-dimensional Navier-Stokes equations with capillarity, Homogenization of Nonlocal Navier--Stokes--Korteweg Equations for Compressible Liquid-Vapor Flow in Porous Media, An extension of Liu procedure in weakly nonlocal thermodynamics, Optimal decay rates of the compressible fluid models of Korteweg type, Blow up of classical solutions to the barotropic compressible fluid models of Korteweg type in bounded domains, Optimal large time behavior of the compressible Navier-Stokes-Korteweg system in \(\mathbb{R}^3\), Dynamical Stability of Diffuse Phase Boundaries in Compressible Fluids, A new thermodynamic framework for second-grade Korteweg-type viscous fluids, An asymptotic limit of a Navier-Stokes system with capillary effects, On wave propagation in porous media with strain gradient effects, Thermal creep of a rarefied gas on the basis of non-linear Korteweg-theory, Mixture of fluids involving entropy gradients and acceleration waves in interfacial layers, Equilibrium of a second-gradient fluid and an elastic solid with surface stresses, On the compactness of weak solutions to the Navier-Stokes-Korteweg equations for capillary fluids, Conservation laws and constitutive relations for density-gradient-dependent viscous fluids, Low Mach number limit of the three-dimensional full compressible Navier-Stokes-Korteweg equations, On the maximal \(L_p-L_q\) regularity for a compressible fluid model of Korteweg type on general domains, Stationary solutions to outflow problem for 1-d compressible fluid models of Korteweg type: existence, stability and convergence rate, INVISCID QUASI-NEUTRAL LIMIT OF A NAVIER-STOKES-POISSON-KORTEWEG SYSTEM, Interaction of complex fluids and solids: theory, algorithms and application to phase-change-driven implosion, Stability of wall bounded, shear flows of dense granular materials: the role of the Couette gap, the wall velocity and the initial concentration, Gradient polyconvexity in evolutionary models of shape-memory alloys, Binary-fluid–solid interaction based on the Navier–Stokes–Korteweg equations, On the exponential decay for compressible Navier-Stokes-Korteweg equations with a drag term, Resolvent estimates for a compressible fluid model of Korteweg type and their application, Stability for the quadratic derivative nonlinear Schrödinger equation and applications to the Korteweg-Kirchhoff type Euler equations for quantum hydrodynamics, Thermodynamically consistent gradient elasticity with an internal variable, Crack occurrence in bodies with gradient polyconvex energies, An Energetic Variational Formulation with Phase Field Methods for Interfacial Dynamics of Complex Fluids: Advantages and Challenges, Stability of stationary solutions and viscous shock wave in the inflow problem for isentropic Navier-Stokes-Korteweg system, Stability of the planar rarefaction wave to three-dimensional Navier–Stokes–Korteweg equations of compressible fluids, Moving vesicles in elastic tissues: a model with existence and uniqueness of weak solutions, Global existence and time decay estimate of solutions to the compressible Navier–Stokes–Korteweg system under critical condition, Global large solutions and incompressible limit for the compressible Navier-Stokes system with capillarity, Large-time behavior of solutions to an inflow problem for the compressible Navier-Stokes-Korteweg equations in the half space, Heat transfer in granular materials: effects of nonlinear heat conduction and viscous dissipation, Griffith energies as small strain limit of nonlinear models for nonsimple brittle materials, Gevrey analyticity and decay for the compressible Navier-Stokes system with capillarity, Entropy principle, non-regular processes, and generalized exploitation procedures, Existence of global strong solution for the Navier-Stokes-Korteweg system in one dimension for strongly degenerate viscosity coefficients, Nonlinear stability of viscous contact wave for the one-dimensional compressible fluid models of Korteweg type, Asymptotic behavior of solutions to the full compressible Navier-Stokes-Korteweg equations in the half space, A relaxation model for the non-isothermal Navier-Stokes-Korteweg equations in confined domains, Blow-up of smooth solutions to the compressible barotropic Navier-Stokes-Korteweg equations on bounded domains, Global classical solutions to the one-dimensional compressible fluid models of Korteweg type with large initial data, Non-existence of classical solutions with finite energy to the Cauchy problem of the Navier–Stokes–Korteweg equations, Zero-Mach limit of the compressible Navier–Stokes–Korteweg equations, Numerical investigation of a thermoelastic model for a propagating phase boundary, Symmetrization and local existence of strong solutions for diffuse interface fluid models, Asymptotic stability of a nonlinear wave for the compressible Navier-Stokes-Korteweg equations in the half space, Continua with partially constrained microstructure, Stationary solutions to the one-dimensional full compressible Navier-Stokes-Korteweg equations in the half line, On the blow‐up phenomena of the compressible Navier‐Stokes‐Korteweg system with degenerate viscosity, Energy equality for weak solutions of the compressible Navier-Stokes-Korteweg equations with general pressure law in a bounded domain, Uniform regularity and zero capillarity-viscosity limit for an inhomogeneous incompressible fluid model of Korteweg type in half-space, Second-order constitutive theory of fluids, One-dimensional viscoelastic von Kármán theories derived from nonlinear thin-walled beams, A two-phase thermomechanical theory for granular suspensions, Global existence and analyticity of \(L^p\) solutions to the compressible fluid model of Korteweg type, Zero‐viscosity‐capillarity limit towards rarefaction wave for the full Navier–Stokes–Korteweg system of compressible fluids, Stability of viscous shock wave under periodic perturbation for compressible Navier–Stokes–Korteweg system, Hyperbolic modeling of gradient damage and one-dimensional finite volume simulations, On the low Mach number limit for 2D Navier-Stokes-Korteweg systems, Two-dimensional equilibrium configurations in Korteweg fluids, Small energy traveling waves for the Euler–Korteweg system, Convergence of the three-dimensional compressible Navier-Stokes-Poisson-Korteweg equation to the incompressible Euler equation, Phase-field descriptions of two-phase compressible fluid flow: Interstitial working and a reduction to Korteweg theory, Zero-viscosity–capillarity limit toward rarefaction wave with vacuum for the Navier–Stokes–Korteweg equations of compressible fluids, The Global Well-Posedness for the Compressible Fluid Model of Korteweg Type, Hilbert’s sixth problem and the failure of the Boltzmann to Euler limit, Hilbert’s 6th Problem: exact and approximate hydrodynamic manifolds for kinetic equations, Existence of solutions for compressible fluid models of Korteweg type, A diffuse-interface description of internal waves in a near-critical fluid, A continuum model for granular materials: Considering dilatancy and the Mohr-Coulomb criterion, Cauchy tetrahedron argument applied to higher contact interactions, Existence of global strong solution for Korteweg system with large infinite energy initial data, Zero‐viscosity‐capillarity limit to rarefaction waves for the 1D compressible Navier–Stokes–Korteweg equations, Asymptotic Behavior of Solutions to An Impermeable Wall Problem of the Compressible Fluid Models of Korteweg Type with Density-dependent Viscosity and Capillarity, Existence of global weak solutions for a 3D Navier–Stokes–Poisson–Korteweg equations, Exploitation of the entropy principle: Proof of Liu theorem if the gradients of the governing equations are considered as constraints, Quasi-Neutral Limit, Dispersion, and Oscillations for Korteweg-Type Fluids, A note on a Korteweg fluid and the hydrodynamic form of the logarithmic Schrödinger equation