Analytic-numerical description of asymptotic solutions of a Cauchy problem in a neighborhood of singularities for a linearized system of shallow-water equations

DOI10.1134/S1061920812010062zbMath1252.35185MaRDI QIDQ455606

D. A. Lozhnikov

Publication date: 22 October 2012

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

focal pointsself-intersection points

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Analyticity in context of PDEs (35A20) Theoretical approximation in context of PDEs (35A35) Initial value problems for second-order hyperbolic systems (35L52)

Related Items (1)

Asymptotics of waves on the shallow water generated by spatially-localized sources and trapped by underwater ridges

Cites Work

• Asymptotic solutions of the linear shallow-water equations with localized initial data
• Localized wave and vortical solutions to linear hyperbolic systems and their application to linear shallow water equations
• Behavior near the focal points of asymptotic solutions to the Cauchy problem for the linearized shallow water equations with initial localized perturbations
• Description of tsunami propagation based on the Maslov canonical operator
• Focused tsunami waves
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