Analyticity of the nonlinear term forces convergence of solutions to two equations of continuum mechanics

DOI10.1016/S0362-546X(01)00770-2zbMath1290.35266MaRDI QIDQ1612582

Karl-Heinz Hoffmann, Piotr Rybka

Publication date: 25 August 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Plates (74K20) Thermal effects in solid mechanics (74F05) PDEs in connection with mechanics of deformable solids (35Q74) Higher-order nonlinear hyperbolic equations (35L75)

Related Items (4)

Compactness properties and general stability result for an abstract nonlinear viscoelastic equation ⋮ Global existence of a coupled Euler-Bernoulli plate system with variable coefficients ⋮ Long-time behavior for a nonlinear plate equation with thermal memory ⋮ Global existence and blow-up for the Euler-Bernoulli plate equation with variable coefficients

Cites Work

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• Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
• Phase transitions in one-dimensional nonlinear viscoelasticity: Admissibility and stability
• Geometric theory of semilinear parabolic equations
• Convergence of global and bounded solutions of the wave equation with linear dissipation and analytic nonlinearity
• Convergence of solutions to second-order gradient-like systems with analytic nonlinearities
• Convergence of solutions to the equation of quasi-static approximation of viscoelasticity with capillarity
• On semi- and subanalytic geometry
• A simple unified approach to some convergence theorems of L. Simon
• Kinetic relations and the propagation of phase boundaries in solids
• Admissibility criteria for propagating phase boundaries in a van der Waals fluid
• Implications of Viscosity and Strain-Gradient Effects for the Kinetics of Propagating Phase Boundaries in Solids
• Convergence of solutions to cahn-hilliard equation
• On convergence of solutions to the equation of viscoelasticity with capillarity
• A Model Numerical Scheme for the Propagation of phase Transitions in Solids
• Exponential attractors for extensible beam equations

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