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On nonlinear elastic waves in 2-D (Q2333402)

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Language	Label	Description	Also known as
English	On nonlinear elastic waves in 2-D	scientific article

Statements

scholarly article

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On nonlinear elastic waves in 2-D (English)

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Journal of Differential Equations

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publication date

13 November 2019

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zbMATH Keywords

null conditions

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global existence

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hyperelastic media

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radially symmetric initial data

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.jde.2019.08.044

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Global existence of nonlinear elastic waves

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The null condition for quasilinear wave equations in two space dimensions. I

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Global solutions of nonlinear hyperbolic equations for small initial data

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Concerning the Strauss Conjecture and Almost Global Existence for Nonlinear Dirichlet-Wave Equations in 4-Dimensions

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On Fourier transforms of radial functions and distributions

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Almost global existence for 4-dimensional quasilinear wave equations in exterior domains.

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On almost global existence and local well posedness for some 3-D quasi-linear wave equations

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Space-time \(L^2\)-estimates and life span of the Klainerman-Machedon radial solutions to some semi-linear wave equations.

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Space-time \(L^{2}\) estimates, regularity and almost global existence for elastic waves

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Almost global existence of elastic waves of finite amplitude arising from small initial disturbances

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Almost global existence to nonlinear wave equations in three space dimensions

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Almost global existence for exterior Neumann problems of semilinear wave equations in 2D

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Almost global existence for some semilinear wave equations

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Global existence for a quasilinear wave equation outside of star-shaped domains

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Almost global existence for quasilinear wave equations in three space dimensions

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Uniform decay estimates and the lorentz invariance of the classical wave equation

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On the work and legacy of Fritz John, 1934-1991

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Resonance-type behaviour in a system of nonlinear wave equations

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Lower Bounds for the Lifespan of Solutions to Nonlinear Wave Equations in Elasticity

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Global existence for exterior problems of semilinear wave equations with the null condition in 2D

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Almost global existence for nonlinear wave equations in an exterior domain in two space dimensions

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Global Well-Posedness of Incompressible Elastodynamics in Two Dimensions

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A note on the life-span of classical solutions to nonlinear wave equations in four space dimensions

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Long-time existence for small amplitude semilinear wave equations

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Global existence for some 4-D quasilinear wave equations with low regularity

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Elastic waves in exterior domains. Part I. Almost global existence

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Hyperbolic trapped rays and global existence of quasilinear wave equations

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Global existence for Dirichlet-wave equations with quadratic nonlinearities in high dimensions

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Long-Time Existence of Quasilinear Wave Equations Exterior to Star-Shaped Obstacles via Energy Methods

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Global existence of null-form wave equations in exterior domains

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Global existence for high dimensional quasilinear wave equations exterior to star-shaped obstacles

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Elastic Waves in Exterior Domains Part II: Global Existence with a Null Structure

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Nonresonance and global existence of prestressed nonlinear elastic waves

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Global existence for three‐dimensional incompressible isotropic elastodynamics via the incompressible limit

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Global existence for three‐dimensional incompressible isotropic elastodynamics

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Global Existence for Systems of Nonlinear Wave Equations in 3D with Multiple Speeds

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Strichartz estimates for Dirichlet-wave equations in two dimensions with applications

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Global existence for the 2D incompressible isotropic elastodynamics for small initial data

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Global existence of classical solutions to systems of wave equations with critical nonlinearity in three space dimensions

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Remarks on nonlinear elastic waves in the radial symmetry in 2-D

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Space-time \(L^{2}\) estimates for elastic waves and applications

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The lifespan for quasilinear wave equations with multiple propagation speeds in four space dimensions

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Lifespan of classical solutions to quasilinear wave equations outside of a star-shaped obstacle in four space dimensions

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Identifiers

zbMATH Open document ID

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10.1016/j.jde.2019.08.044

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2333402

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