On the influence of damping in hyperbolic equations with parabolic degeneracy

DOI10.1090/S0033-569X-2011-01247-1zbMath1235.35196MaRDI QIDQ3225367

Ralph Saxton, Katarzyna Saxton

Publication date: 19 March 2012

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

nonstrictly hyperbolic \( 2\times 2\) system

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Analyticity in context of PDEs (35A20) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (4)

Non-strictly hyperbolic systems, singularity and bifurcation ⋮ The optimal large time behavior of 3D quasilinear hyperbolic equations with nonlinear damping ⋮ Decay of the 3D quasilinear hyperbolic equations with nonlinear damping ⋮ Initial boundary value problem for the 3D quasilinear hyperbolic equations with nonlinear damping

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Applications of centre manifold theory
• Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity
• Non-existence, instability, and growth theorems for solutions of a class of abstract nonlinear equations with applications to nonlinear elasto- dynamics
• Nonstrictly hyperbolic systems of conservation laws: formation of singularities
• Asymptotic behavior of solutions to quasilinear hyperbolic equations with nonlinear damping
• Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations
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