The stability of the shock profiles of the Burgers' equation

DOI10.1016/S0893-9659(98)00087-1zbMath0938.35166MaRDI QIDQ1808621

Shlomo Engelberg

Publication date: 27 June 2000

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

Burgers' equationnonlinear stabilityshock profileHopf-Cole transformations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear effects in hydrodynamic stability (76E30) Shock waves and blast waves in fluid mechanics (76L05)

Cites Work

• Partial differential equations. 4th ed
• On the stability of waves of nonlinear parabolic systems
• Stability of travelling waves for non‐convex scalar viscous conservation laws
• Behavior of the solutions of the Cauchy problem for certain quasilinear equations for unbounded increase of the time
• The partial differential equation u_t + uu_x = μ_xx
• On a quasi-linear parabolic equation occurring in aerodynamics

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