Singular asymptotic expansions and delta waves for Burgers' equation

DOI10.1007/BF01473580zbMath0907.35113OpenAlexW2010489433MaRDI QIDQ1265686

Lucio Cadeddu, Todor Gramchev

Publication date: 27 September 1998

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178826

zbMATH Keywords

stabilityasymptotic expansiondelta wavesinitial datainviscid Burgers' equationCauchy problem for the Burgers' equationregularization by smooth mollifiersstrongly singular initial data

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) KdV equations (Korteweg-de Vries equations) (35Q53)

Cites Work

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• Generalized solutions to conservation laws
• Measure valued solutions of asymptotically homogeneous semilinear hyperbolic systems in one space variable
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• Nonvanishing singular parts of measure valued solutions for scalar hyperbolic equations
• Parabolic equations with conservative nonlinear term and singular initial data
• Entropy solutions to conservation laws with singular initial data
• Delta-waves for Semilinear Hyperbolic Cauchy Problems
• Nonuniqueness and Uniqueness in the Initial-Value Problem for Burgers’ Equation
• The partial differential equation u_t + uu_x = μ_xx

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