Analysis of Viscous Fluid Flows: An Approach by Evolution Equations
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Publication:3296719
DOI10.1007/978-3-030-36226-3_1zbMath1442.35338OpenAlexW3020926036MaRDI QIDQ3296719
Publication date: 1 July 2020
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-36226-3_1
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Liquid crystals (76A15) Free boundary problems for PDEs (35R35) PDEs in connection with geophysics (35Q86) Strong solutions to PDEs (35D35) Quasilinear parabolic equations (35K59)
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Cites Work
- Dynamics of nematic liquid crystal flows: the quasilinear approach
- The \(L^p\)-approach to the fluid-rigid body interaction problem for compressible fluids
- Global strong \(L^{p}\) well-posedness of the 3D primitive equations with heat and salinity diffusion
- Analyticity of the Stokes semigroup in spaces of bounded functions
- Global strong solutions to incompressible Ericksen-Leslie system in \(\mathbb{R}^3\)
- A fluid-structure model coupling the Navier-Stokes equations and the Lamé system
- On quasilinear parabolic evolution equations in weighted \(L_{p}\)-spaces
- Maximal \(L_{p}\)-\(L_{q}\) regularity for the two-phase Stokes equations; model problems
- Asymptotic stability of steady compressible fluids.
- On a free boundary problem for the Navier-Stokes equations.
- On the two-phase Navier-Stokes equations with surface tension
- Addendum to the paper ``On quasilinear parabolic evolution equations in weighted \(L_p\)-spaces II
- Hydrostatic theory of liquid crystals
- Some remarks on Banach spaces in which martingale difference sequences are unconditional
- Large-time regularity of viscous surface waves
- Strong solutions for generalized Newtonian fluids
- The Fujita-Kato approach to the Navier-Stokes equations in the rotational framework
- Theory of function spaces
- A critical functional framework for the inhomogeneous Navier-Stokes equations in the half-space
- On convergence of solutions to equilibria for quasilinear parabolic problems
- A regularity result for a solid-fluid system associated to the compressible Navier-Stokes equations
- Semigroups of linear operators and applications to partial differential equations
- Domains of fractional powers of the Stokes operator in \(L_ r\) spaces
- On energy inequality, smoothness and large time behavior in L 2 for weak solutions of the Navier-Stokes equations in exterior domains
- Analyticity of the semigroup generated by the Stokes operator in \(L_r\) spaces
- Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
- Sommes d'opérateurs linéaires et équations différentielles opérationnelles
- Stability and bifurcation in viscous incompressible fluids
- Stability of the rest state of a viscous incompressible fluid
- Problem of the motion of two viscous incompressible fluids separated by a closed free interface
- \(H^\infty\)-calculus for the Stokes operator on \(L_q\)-spaces
- On the motion of rigid bodies in a viscous compressible fluid
- Global strong solutions for the two-dimensional motion of an infinite cylinder in a viscous fluid
- New thoughts on old results of R. T. Seeley
- On the strong solvability of the Navier-Stokes equations
- Dynamics of the Ericksen-Leslie equations with general Leslie stress. I: The incompressible isotropic case
- Non-isothermal general Ericksen-Leslie system: derivation, analysis and thermodynamic consistency
- The primitive equations as the small aspect ratio limit of the Navier-Stokes equations: rigorous justification of the hydrostatic approximation
- On the stability of nonsymmetric equilibrium figures of a rotating viscous incompressible liquid
- On the closedness of the sum of two closed operators
- Bounded holomorphic functional calculus for non-divergence form differential operators
- Maximal regularity for evolution equations in weighted \(L_p\)-spaces
- Stability of large Ekman boundary layers in rotating fluids
- Generalized resolvent estimates for the Stokes system in bounded and unbounded domains
- Large-time existence of surface waves in incompressible viscous fluids with or without surface tension
- On the general Ericksen-Leslie system: Parodi's relation, well-posedness and stability
- Maximal \(L^p\)-\(L^ q\)-estimates for the Stokes equation: a short proof of Solonnikov's theorem
- Functional calculi for linear operators in vector-valued \(L^p\)-spaces via the transference principle
- Existence of weak solutions for a diffuse interface model of non-Newtonian two-phase flows
- A new approach to non-isothermal models for nematic liquid crystals
- On generalized solutions of two-phase flows for viscous incompressible fluids
- Optimal \(L^{p}\)- \(L^{q}\)-estimates for parabolic boundary value problems with inhomogeneous data
- Strong solutions for two-phase free boundary problems for a class of non-Newtonian fluids
- New criteria for the \(H^\infty\)-calculus and the Stokes operator on bounded Lipschitz domains
- Dynamics of the Ericksen-Leslie equations with general Leslie stress. II: The compressible isotropic case
- Well-posedness of the Ericksen-Leslie system
- Rotating Navier-Stokes equations in \({\mathbb R}^{3}_{+}\) with initial data nondecreasing at infinity: The Ekman boundary layer problem
- Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics
- The functional calculus for sectorial operators
- Analysis of strong solutions for the equations modeling the motion of a rigid-fluid system in a bounded domain
- Some constitutive equations for liquid crystals
- Bounded imaginary powers and \(H_\infty\)-calculus of the Stokes operator in two-dimensional exterior domains
- Global strong well-posedness of the three dimensional primitive equations in \({L^p}\)-spaces
- Moving Interfaces and Quasilinear Parabolic Evolution Equations
- Analysis in Banach Spaces
- Analytic Solutions for the Two-phase Navier-Stokes Equations with Surface Tension and Gravity
- Weak Neumann implies Stokes
- Blow-up Criteria of Strong Solutions to the Ericksen-Leslie System in ℝ3
- Recent developments of analysis for hydrodynamic flow of nematic liquid crystals
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- Fourier Analysis and Nonlinear Partial Differential Equations
- Vector-valued Laplace Transforms and Cauchy Problems
- On a non-isothermal model for nematic liquid crystals
- Report on a local in time solvability of free surface problems for the Navier–Stokes equations with surface tension
- The Spin-Coating Process: Analysis of the Free Boundary Value Problem
- The Three-Dimensional Navier–Stokes Equations
- CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS
- Stokes Resolvent Estimates in Spaces of Bounded Functions
- Critical functional framework and maximal regularity in action on systems of incompressible flows
- Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
- Classical Fourier Analysis
- Nonlinear stability of Ekman boundary layers
- Uniform global solvability of the rotating Navier-Stokes equations for nondecaying initial data
- A solution formula for the Stokes equation in Rn+
- Elliptic boundary value problems in unbounded domains with noncompact and nonsmooth boundaries
- Dynamic theory of quasilinear parabolic equations—I. Abstract evolution equations
- The Resolvent Problem for the Stokes Equations on Halfspace in $L_p $
- New formulations of the primitive equations of atmosphere and applications
- On the equations of the large-scale ocean
- Boundary value problems for the nonstationary Navier-Stokes equations treated by pseudo-differential methods.
- On vector-valued Fourier multiplier theorems
- Stability of mixed Ekman-Hartmann boundary layers
- One-Parameter Semigroups for Linear Evolution Equations
- ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
- On Weak Solutions for Fluid‐Rigid Structure Interaction: Compressible and Incompressible Models
- Analysis in Banach Spaces
- Linear and Quasilinear Parabolic Problems
- Nonparabolic dissipative systems modeling the flow of liquid crystals
- $L^{p}$-theory for strong solutions to fluid-rigid body interaction in Newtonian and generalized Newtonian fluids
- Stochastic stability of the Ekman spiral
- Analyticity of solutions to the primitive equations
- Rigorous justification of the hydrostatic approximation for the primitive equations by scaled Navier–Stokes equations*
- Bounded 𝐻^{∞}-calculus for the hydrostatic Stokes operator on 𝐿^{𝑝}-spaces and applications
- Lectures on Navier-Stokes Equations
- $L_p$-Theory for a Class of Non-Newtonian Fluids
- Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
- Analytic semigroups and optimal regularity in parabolic problems
- A solution to the problem of \(L^p\)-maximal regularity
- \(L^p\)-theory of the Stokes equation in a half space
- Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity
- The \(H^\infty\)-calculus and sums of closed operators
- On weak solutions to a class of non-Newtonian incompressible fluids in bounded three-dimensional domains: The case \(p\geq 2\)
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