Vanishing shear viscosity limit and incompressible limit of two dimensional compressible dissipative elastodynamics
DOI10.1007/s00220-023-04805-7zbMath1530.35300OpenAlexW4384470839MaRDI QIDQ6135946
Publication date: 28 August 2023
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00220-023-04805-7
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Nonlinear elasticity (74B20) Viscoelastic fluids (76A10) Second-order nonlinear hyperbolic equations (35L70) Nonlinear constitutive equations for materials with memory (74D10) Existence of solutions of dynamical problems in solid mechanics (74H20) PDEs in connection with mechanics of deformable solids (35Q74)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Uniform regularity and vanishing viscosity limit for the free surface Navier-Stokes equations
- Global existence for the 2D incompressible isotropic elastodynamics for small initial data
- Global existence for the multi-dimensional compressible viscoelastic flows
- Global well-posedness for compressible viscoelastic fluids near equilibrium
- Remarks about the inviscid limit of the Navier-Stokes system
- Global solutions for incompressible viscoelastic fluids
- The incompressible limit in nonlinear elasticity
- Incompressible limit for a viscous compressible fluid
- Nonresonance and global existence of prestressed nonlinear elastic waves
- Global existence of nonlinear elastic waves
- The null condition and global existence of nonlinear elastic waves
- Incompressible limit of three dimensional compressible viscoelastic systems with vanishing shear viscosity
- Global existence of small displacement solutions for Hookean incompressible viscoelasticity in 3D
- Global existence for the compressible viscoelastic system with zero shear viscosity in three dimensions
- Global existence of compressible dissipative elastodynamics systems with zero shear viscosity in two dimensions
- Uniform bound of the highest energy for the three dimensional incompressible elastodynamics
- Global and almost global existence of small solutions to a dissipative wave equation in 3D with nearly null nonlinear terms
- Compressible Navier-Stokes system: large solutions and incompressible limit
- Global Well-Posedness of Incompressible Elastodynamics in Two Dimensions
- Global Existence and Optimal Decay Rates for Three-Dimensional Compressible Viscoelastic Flows
- Almost global existence for 2-D incompressible isotropic elastodynamics
- LOCAL ENERGY DECAY FOR SOLUTIONS OF MULTI-DIMENSIONAL ISOTROPIC SYMMETRIC HYPERBOLIC SYSTEMS
- Almost global existence of elastic waves of finite amplitude arising from small initial disturbances
- Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
- Global existence for three‐dimensional incompressible isotropic elastodynamics via the incompressible limit
- Vanishing Viscosity Limit for Incompressible Viscoelasticity in Two Dimensions
- Global existence for three‐dimensional incompressible isotropic elastodynamics
- On the initial‐boundary value problem of the incompressible viscoelastic fluid system
- On hydrodynamics of viscoelastic fluids
- Hyperbolic Conservation Laws in Continuum Physics
- The null condition for quasilinear wave equations in two space dimensions. I
This page was built for publication: Vanishing shear viscosity limit and incompressible limit of two dimensional compressible dissipative elastodynamics
