An exact description of nonlinear wave interaction processes ruled by \(2\times 2\) hyperbolic systems
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Publication:2393619
DOI10.1007/s00033-012-0282-0zbMath1272.35139OpenAlexW1991607273MaRDI QIDQ2393619
Natale Manganaro, Domenico Fusco, Carmela Currò
Publication date: 8 August 2013
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-012-0282-0
First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45) Overdetermined systems of PDEs with variable coefficients (35N10)
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Generalized Riemann problems and exact solutions for \(p\)-systems with relaxation ⋮ Nonlinear wave interactions in a macroscopic production model ⋮ The generalized Riemann problem for the Chaplygin gas equation ⋮ 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 ⋮ Differential constraints and exact solutions for the ET6 model ⋮ Riemann problems and exact solutions to a traffic flow model ⋮ Wave interactions in non-ideal isentropic magnetogasdynamics ⋮ Riemann problem for the Chaplygin gas equations for several classes of non-constant initial data ⋮ Conservation laws for $2 \times 2 $ hyperbolic systems
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