Global vanishing viscosity limit for the two dimensional incompressible viscoelasticity in Lagrangian coordinates
DOI10.1007/s00526-022-02212-9OpenAlexW4220907654WikidataQ114017939 ScholiaQ114017939MaRDI QIDQ2119716
Publication date: 30 March 2022
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-022-02212-9
PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Viscosity solutions to PDEs (35D40) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Classical solutions to PDEs (35A09) PDE constrained optimization (numerical aspects) (49M41)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global solutions to repulsive Hookean elastodynamics
- Global existence for the 2D incompressible isotropic elastodynamics for small initial data
- Global existence for the multi-dimensional compressible viscoelastic flows
- On 2D viscoelasticity with small strain
- Global well-posedness for compressible viscoelastic fluids near equilibrium
- Global solutions for incompressible viscoelastic fluids
- Blowup of small data solutions for a quasilinear wave equation in two space dimensions.
- Nonresonance and global existence of prestressed nonlinear elastic waves
- Blowup of small data solutions for a class of quasilinear wave equations in two space dimensions. II
- Global existence of nonlinear elastic waves
- Global well-posedness for 2D nonlinear wave equations without compact support
- Global well-posedness of the incompressible magnetohydrodynamics
- The null condition and global existence of nonlinear elastic waves
- Global existence of weak solutions to the FENE dumbbell model of polymeric flows
- Scattering for the quasilinear wave equations with null conditions in two dimensions
- 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
- Global small data smooth solutions of 2-D null-form wave equations with non-compactly supported initial data
- Uniform bound of the highest energy for the three dimensional incompressible elastodynamics
- Rotation-strain decomposition for the incompressible viscoelasticity in two dimensions
- Global existence for a 2D incompressible viscoelastic model with small strain
- The null condition for quasilinear wave equations in two space dimensions, II
- Global Well-Posedness of Incompressible Elastodynamics in Two Dimensions
- Some Analytical Issues for Elastic Complex Fluids
- Almost global existence for 2-D incompressible isotropic elastodynamics
- Global Existence of Strong Solution for Equations Related to the Incompressible Viscoelastic Fluids in the Critical $L^p$ Framework
- The Global Existence of Small Solutions to the Incompressible Viscoelastic Fluid System in 2 and 3 Space Dimensions
- LOCAL ENERGY DECAY FOR SOLUTIONS OF MULTI-DIMENSIONAL ISOTROPIC SYMMETRIC HYPERBOLIC SYSTEMS
- Global Solutions of Two-Dimensional Incompressible Viscoelastic Flows with Discontinuous Initial Data
- Almost global existence to nonlinear wave equations in three space dimensions
- Global solutions of nonlinear hyperbolic equations for small initial data
- Uniform decay estimates and the lorentz invariance of the classical wave equation
- Almost global existence of elastic waves of finite amplitude arising from small initial disturbances
- Blow-up for quasi-linear wave equations in three space dimensions
- Global existence for three‐dimensional incompressible isotropic elastodynamics via the incompressible limit
- Global Well-Posedness for Viscoelastic Fluid System in Bounded Domains
- 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
- Global Existence of Classical Solutions for the Two-Dimensional Oldroyd Model via the Incompressible Limit
- On hydrodynamics of viscoelastic fluids
- Global solutions for the gravity water waves equation in dimension 3
- The null condition for quasilinear wave equations in two space dimensions. I
This page was built for publication: Global vanishing viscosity limit for the two dimensional incompressible viscoelasticity in Lagrangian coordinates
