On periodic travelling waves of equations with viscosity coefficient of variable sign

DOI10.1016/0362-546X(89)90073-4zbMath0723.76034MaRDI QIDQ3211035

R. R. Akhmerov

Publication date: 1989

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

zbMATH Keywords

periodic travelling wavesequation with viscosity coefficient of variable signforward backward parabolic equationsmall dispersion as a regularizatorsolutions of french duck typestructure of a set of solutions

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Waves for incompressible viscous fluids (76D33)

Related Items (2)

Interfacial phenomenon for one-dimensional equation of forward-backward parabolic type ⋮ Periodic travelling wave solutions of a parabolic equation: a monotonicity result.

Cites Work

• Differential equations with small parameters and relaxation oscillations. Translation from the Russian by F. M. C. Goodspeed
• Nonstandard analysis. A practical guide with applications
• Existence of Infinitely Many Solutions for a Forward Backward Heat Equation
• Non-standard analysis and singular perturbations of ordinary differential equations
• On structure of a set of solutions of Direchlet boundary value problem for stationary one-dimensional forward-backward parabolic equation
• Relaxation oscillations including a standard chase on French ducks
• Non-standard analysis
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