Visco-elastodynamics at large strains Eulerian
DOI10.1007/s00033-022-01686-zOpenAlexW4220863793MaRDI QIDQ2121439
Publication date: 4 April 2022
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.00261
Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Nonlinear elasticity (74B20) Viscoelastic fluids (76A10) Nonsimple materials (74A30) Weak solutions to PDEs (35D30) Existence of solutions of dynamical problems in solid mechanics (74H20) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (5)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Survey of existence results in nonlinear peridynamics in comparison with local elastodynamics
- Global existence for the multi-dimensional compressible viscoelastic flows
- The Lagrange multipliers and hyperstress constraint reactions in incompressible multipolar elasticity theory
- Thermoviscoelasticity in Kelvin-Voigt rheology at large strains
- Tractions, balances, and boundary conditions for nonsimple materials with application to liquid flow at small-length scales
- Hypertractions and hyperstresses convey the same mechanical information
- Energy methods for quasilinear hyperbolic initial-boundary value problems. Applications to elastodynamics
- Elastic materials with couple-stresses
- Global solution to the incompressible viscous-multipolar material problem
- Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity
- Physically unacceptable viscous stresses
- Weak solutions for a class of nonlinear systems of viscoelasticity
- Mathematical analysis of weak and strong solutions to an evolutionary model for magnetoviscoelasticity
- From quasi-incompressible to semi-compressible fluids
- Weak-strong uniqueness of dissipative measure-valued solutions for polyconvex elastodynamics
- Multipolar viscoelastic materials and the symmetry of the coefficients of viscosity
- Global existence for a 2D incompressible viscoelastic model with small strain
- Structural properties of stress relaxation and convergence from viscoelasticity to polyconvex elastodynamics
- Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. I
- Micro-structure in linear elasticity
- Rate-independent elastoplasticity at finite strains and its numerical approximation
- Some Open Problems in Elasticity
- The Global Existence of Small Solutions to the Incompressible Viscoelastic Fluid System in 2 and 3 Space Dimensions
- Global Solutions of Two-Dimensional Incompressible Viscoelastic Flows with Discontinuous Initial Data
- Injective weak solutions in second-gradient nonlinear elasticity
- SYMMETRIC-HYPERBOLIC EQUATIONS OF MOTION FOR A HYPERELASTIC MATERIAL
- Global invertibility of Sobolev functions and the interpenetration of matter
- Phenomenological behavior of multipolar viscous fluids
- Young Measure Solutions for Nonconvex Elastodynamics
- Existence of Weak Solutions to an Evolutionary Model for Magnetoelasticity
- Principles of Continuum Mechanics
- Global existence for three‐dimensional incompressible isotropic elastodynamics via the incompressible limit
- Mathematical Methods in Continuum Mechanics of Solids
- Quasiconvex Elastodynamics: Weak‐Strong Uniqueness for Measure‐Valued Solutions
- Measure-valued and weak solutions to the nonlinear peridynamic model in nonlocal elastodynamics
- On hydrodynamics of viscoelastic fluids
- A note about hardening-free viscoelastic models in Maxwellian-type rheologies at large strains
- Nonlinear partial differential equations with applications
- A variational approximation scheme for three-dimensional elastodynamics with polyconvex energy
- An Eulerian description of fluids containing viscoelastic particles
This page was built for publication: Visco-elastodynamics at large strains Eulerian