Generalized solutions describing singularity interaction

DOI10.1155/S0161171202012206zbMath1011.35093OpenAlexW2106860146MaRDI QIDQ1607876

R. Smith

Publication date: 13 August 2002

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/49983

zbMATH Keywords

initial value problemsHopf equation

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Singularity in context of PDEs (35A21)

Related Items (14)

Construction of uniform in time asymptotics for interaction of shock waves in gas dynamics ⋮ Weak asymptotic solution of the phase-field system in the case of fusion of free boundaries in the Stefan-Gibbs-Thomson problem ⋮ Global-in-time asymptotic solutions to Kolmogorov-Feller-type parabolic pseudodifferential equations with small parameter-forward- and backward-in-time motion ⋮ Weak asymptotics method and the interaction of infinitely narrow \(\delta\)-solitons. ⋮ Weak asymptotics method approach to the problem of \(\delta \)-shock wave interactions ⋮ Stepwise approximations and limiting generalized solution to the hyperbolic conservation law ⋮ Global in time solutions to Kolmogorov-Feller pseudodifferential equations with small parameter ⋮ Delta shock wave formation in the case of triangular hyperbolic system of conservation laws ⋮ Uniform in time description for weak solutions of the Hopf equation with nonconvex nonlinearity ⋮ Weak asymptotics of shock wave formation process ⋮ Interaction of kinks for semilinear wave equations with a small parameter ⋮ Weak asymptotic solution of phase-field system in the case of confluence of free boundaries in the Stefan problem with underheating ⋮ Smooth approximations of global in time solutions to scalar conservation laws ⋮ Shock wave formation process for a multidimensional scalar conservation law

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