Gradient catastrophes and sawtooth solutions for a generalized Burgers equation on an interval

DOI10.1016/j.geomphys.2014.05.007zbMath1298.35181OpenAlexW1986629867MaRDI QIDQ741119

Alexey V. Samokhin

Publication date: 10 September 2014

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2014.05.007

zbMATH Keywords

Burger's equationinitial value-boundary problemgradient catastrophessawtooth solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (4)

Periodic Wave Shock solutions of Burgers equations ⋮ Periodic wave shock solutions of Burgers equations ⋮ Uniqueness of the solution of inverse initial value problems for the Burgers equation with an unknown source ⋮ The Burgers equation with periodic boundary conditions on an interval

Cites Work

• On Hamiltonian perturbations of hyperbolic systems of conservation laws. II: Universality of critical behaviour
• Numerical Study of Breakup in Generalized Korteweg–de Vries and Kawahara Equations
• The decay of sawtooth solutions to the Burgers equation

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