The phenomenon of quenching in burgers' equation with nonlinear boundary conditions

DOI10.1016/0362-546X(94)90130-9zbMath0819.35124MaRDI QIDQ4322157

Sang Ro Park

Publication date: 19 March 1995

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

Burgers' equationnonlinear boundary conditionsquenching phenomenon

Mathematics Subject Classification ID

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

Cites Work

• Asymptotic behavior and stability of solutions of semilinear diffusion equations
• On solutions of initial -boundary problem for \(u_t=u_{xx}+1/(1-u)\)
• Quenching, nonquenching, and beyond quenching for solution of some parabolic equations
• The Quenching of Solutions of Linear Parabolic and Hyperbolic Equations with Nonlinear Boundary Conditions
• Stability and Instability for Solutions of Burgers’ Equation with a Semilinear Boundary Condition
• Differential equations and convergence almost everywhere in strongly monotone semiflows
• A potential well theory for the heat equation with a nonlinear boundary condition
• The Quenching of Solutions of Some Nonlinear Parabolic Equations
• The Quenching of Solutions of Semilinear Hyperbolic Equations
• On the Blowup of u t at Quenching
• Analysis of a convective reaction-diffusion equation
• Remarks on quenching
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