On nonlinear elastic waves in 2-D
From MaRDI portal
Publication:2333402
DOI10.1016/j.jde.2019.08.044zbMath1437.35463OpenAlexW2972256575MaRDI QIDQ2333402
Publication date: 13 November 2019
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2019.08.044
Nonlinear waves in solid mechanics (74J30) Second-order semilinear hyperbolic equations (35L71) Initial value problems for second-order hyperbolic systems (35L52)
Related Items (3)
Long time existence for two-dimension elastic waves ⋮ Global solutions to systems of quasilinear wave equations with low regularity data and applications ⋮ Remarks on nonlinear elastic waves with null conditions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Remarks on nonlinear elastic waves in the radial symmetry in 2-D
- Almost global existence for nonlinear wave equations in an exterior domain in two space dimensions
- On almost global existence and local well posedness for some 3-D quasi-linear wave equations
- On Fourier transforms of radial functions and distributions
- Space-time \(L^{2}\) estimates for elastic waves and applications
- Global existence for the 2D incompressible isotropic elastodynamics for small initial data
- Space-time \(L^2\)-estimates and life span of the Klainerman-Machedon radial solutions to some semi-linear wave equations.
- Hyperbolic trapped rays and global existence of quasilinear wave equations
- Global existence for high dimensional quasilinear wave equations exterior to star-shaped obstacles
- Nonresonance and global existence of prestressed nonlinear elastic waves
- Global existence of classical solutions to systems of wave equations with critical nonlinearity in three space dimensions
- Global existence of nonlinear elastic waves
- Global existence for a quasilinear wave equation outside of star-shaped domains
- Global existence for some 4-D quasilinear wave equations with low regularity
- Space-time \(L^{2}\) estimates, regularity and almost global existence for elastic waves
- Almost global existence for some semilinear wave equations
- Resonance-type behaviour in a system of nonlinear wave equations
- Almost global existence for exterior Neumann problems of semilinear wave equations in 2D
- Lifespan of classical solutions to quasilinear wave equations outside of a star-shaped obstacle in four space dimensions
- Almost global existence for 4-dimensional quasilinear wave equations in exterior domains.
- Global existence for exterior problems of semilinear wave equations with the null condition in 2D
- The lifespan for quasilinear wave equations with multiple propagation speeds in four space dimensions
- Global existence of null-form wave equations in exterior domains
- Global existence for Dirichlet-wave equations with quadratic nonlinearities in high dimensions
- Global Existence for Systems of Nonlinear Wave Equations in 3D with Multiple Speeds
- Global Well-Posedness of Incompressible Elastodynamics in Two Dimensions
- Strichartz estimates for Dirichlet-wave equations in two dimensions with applications
- Elastic waves in exterior domains. Part I. Almost global existence
- Concerning the Strauss Conjecture and Almost Global Existence for Nonlinear Dirichlet-Wave Equations in 4-Dimensions
- 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
- On the work and legacy of Fritz John, 1934-1991
- Almost global existence for quasilinear wave equations in three space dimensions
- Global existence for three‐dimensional incompressible isotropic elastodynamics via the incompressible limit
- Long-time existence for small amplitude semilinear wave equations
- A note on the life-span of classical solutions to nonlinear wave equations in four space dimensions
- Lower Bounds for the Lifespan of Solutions to Nonlinear Wave Equations in Elasticity
- Elastic Waves in Exterior Domains Part II: Global Existence with a Null Structure
- Global existence for three‐dimensional incompressible isotropic elastodynamics
- Long-Time Existence of Quasilinear Wave Equations Exterior to Star-Shaped Obstacles via Energy Methods
- The null condition for quasilinear wave equations in two space dimensions. I
This page was built for publication: On nonlinear elastic waves in 2-D