Existence pour un problème de l'élastodynamique Neumann non linéaire en dimension 2. (Existence for an elasto-dynamic nonlinear Neumann problem in two dimensions)

DOI10.1007/BF00253123zbMath0652.73019MaRDI QIDQ1107350

Monique Sablé-Tougeron

Publication date: 1988

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemNeumann problem

Mathematics Subject Classification ID

Related Items (17)

The interaction between quasilinear elastodynamics and the Navier-Stokes equations ⋮ Geometric Optics for Rayleigh Pulses in Nonlinear Elasticity ⋮ Weakly stable multidimensional shocks ⋮ Nonlinear Hyperbolic Surface Waves ⋮ Weak well-posedness of hyperbolic boundary value problems in a strip: when instabilities do not reflect the geometry ⋮ Geometric Optics for Rayleigh Wavetrains in d-Dimensional ⋮ Geometric optics expansion for weakly well-posed hyperbolic boundary value problem: The glancing degeneracy ⋮ Geometric optics expansions with amplification for hyperbolic boundary value problems: linear problems ⋮ Geometric Optics for Surface Waves in Nonlinear Elasticity ⋮ Non-Homogeneous Boundary Value Problems for Linear Dispersive Equations ⋮ Finite speed of propagation for mixed problems in the \(WR\) class ⋮ Weakly nonlinear surface waves in magnetohydrodynamics. I ⋮ Deformations of incompressible bodies with free boundaries ⋮ On the amplitude equations for weakly nonlinear surface waves ⋮ Exact energy and momentum conserving algorithms for general models in nonlinear elasticity ⋮ Well-posedness of hyperbolic initial boundary value problems ⋮ WKB expansions for weakly well-posed hyperbolic boundary value problems in a strip: Time depending loss of derivatives

Cites Work

• Energy methods for quasilinear hyperbolic initial-boundary value problems. Applications to elastodynamics
• On structures of certain \(L^2\)-well-posed mixed problems for hyperbolic systems of first order
• Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity
• Interaction de Deux Chocs Pour un Systeme de Deux Lois de Conservation, en Dimension Deux D'Espace
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• The stability of multidimensional shock fronts
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