The Third‐Order Nonlinear Evolution Equation Governing Wave Propagation in Relaxing Media

DOI10.1111/1467-9590.00055zbMath0881.35079OpenAlexW2083587939MaRDI QIDQ4351100

Vladimir V. Varlamov

Publication date: 22 February 1998

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/1467-9590.00055

zbMATH Keywords

classical solutionsmall initial datalong time asymptotic representation

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Initial value problems for higher-order hyperbolic equations (35L30) Higher-order nonlinear hyperbolic equations (35L75)

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Hybrid methods for direct integration of special third order ordinary differential equations ⋮ Direct integrators of Runge-Kutta type for special third-order ordinary differential equations ⋮ On the Jordan-Moore-Gibson-Thompson wave equation in hereditary fluids with quadratic gradient nonlinearity ⋮ A fast compact time integrator method for a family of general order semilinear evolution equations ⋮ Global solutions and smoothing effects for semi-linear evolution equations in circular domains ⋮ On the spatially two-dimensional Boussinesq equation in a circular domain ⋮ A new integrator for special third order differential equations with application to thin film flow problem ⋮ The Inviscid Limit of Third-Order Linear and Nonlinear Acoustic Equations

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