A reduction method to quasilinear hyperbolic systems of multicomponent field PDEs with application to wave interaction

DOI10.1016/S0020-7462(00)00112-8zbMath1116.35339MaRDI QIDQ872765

Domenico Fusco, Carmela Currò

Publication date: 28 March 2007

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

zbMATH Keywords

Hyperbolic systemsDouble wave solutions: Reduction methodsModel constitutive lawsNonlinear wave interactions

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Solutions to PDEs in closed form (35C05)

Related Items (4)

An exact description of nonlinear wave interaction processes ruled by \(2\times 2\) hyperbolic systems ⋮ Double-wave solutions to quasilinear hyperbolic systems of first-order PDEs ⋮ Nonlinear wave interaction problems in the three-dimensional case ⋮ Nonlinear wave interactions for a model of extended thermodynamics with six fields

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