Global solutions to repulsive Hookean elastodynamics
From MaRDI portal
Publication:512185
DOI10.1007/s00205-016-1039-2zbMath1366.35184OpenAlexW2515928488MaRDI QIDQ512185
Publication date: 24 February 2017
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-016-1039-2
global solutionsKlein-Gordon equationsHodge's decompositionrepulsive Hookeanspace-time resonance method
Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear elasticity (74B20) Linear elasticity with initial stresses (74B10) Hypersonic flows (76K05) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items
Global vanishing viscosity limit for the two dimensional incompressible viscoelasticity in Lagrangian coordinates ⋮ Global existence of weak solutions to two dimensional compressible viscoelastic flows ⋮ Uniform Bound of the Highest-Order Energy of the 2D Incompressible Elastodynamics ⋮ Thermodynamics of viscoelastic solids, its Eulerian formulation, and existence of weak solutions ⋮ Decay rates of the compressible viscoelastic flows with electric potential ⋮ Global classical solutions of 3D compressible viscoelastic system near equilibrium ⋮ Global Well-Posedness of Incompressible Elastodynamics in Three-Dimensional Thin Domain
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Cauchy problem for the two dimensional Euler-Poisson system
- Global smooth ion dynamics in the Euler-Poisson system
- Global existence for the multi-dimensional compressible viscoelastic flows
- Global existence for coupled systems of nonlinear wave and Klein-Gordon equations in three space dimensions
- Global well-posedness for compressible viscoelastic fluids near equilibrium
- Compressible fluid flow and systems of conservation laws in several space variables
- Global solutions for incompressible viscoelastic fluids
- Formation of singularities in three-dimensional compressible fluids
- Smooth irrotational flows in the large to the Euler-Poisson system in \(\mathbb{R}^{3+1}\)
- Lectures on nonlinear hyperbolic differential equations
- Nonresonance and global existence of prestressed nonlinear elastic waves
- Global existence of nonlinear elastic waves
- Global existence of weak solutions to the FENE dumbbell model of polymeric flows
- Space-Time Resonances and the Null Condition for First-Order Systems of Wave Equations
- Global Solutions of Two-Dimensional Incompressible Viscoelastic Flows with Discontinuous Initial Data
- Global existence of small amplitude solutions to nonlinear klein-gordon equations in four space-time dimensions
- Normal forms and quadratic nonlinear Klein-Gordon equations
- Existence of a global solution to a semi–linear wave equation with slowly decreasing initial data in three space dimensions
- Blow-up for quasi-linear wave equations in three space dimensions
- Weakly Differentiable Functions
- Finite amplitude waves in a homogeneous isotropic elastic solid
- Global existence for three‐dimensional incompressible isotropic elastodynamics via the incompressible limit
- Nonneutral Global Solutions for the Electron Euler--Poisson System in Three Dimensions
- Global Existence for Capillary Water Waves
- The Euler–Poisson System in 2D: Global Stability of the Constant Equilibrium Solution
- Global existence for three‐dimensional incompressible isotropic elastodynamics
- On hydrodynamics of viscoelastic fluids
- Global solutions for the gravity water waves equation in dimension 3
- Global solutions for the gravity water waves equation in dimension 3
- On the existence of globally defined weak solutions to the Navier-Stokes equations
