An investigation of one third-order equation not allowed with respect to the time derivative

DOI10.1007/BF01050961zbMath0426.76074OpenAlexW2093701062MaRDI QIDQ1136672

A. P. Vinnichenko

Publication date: 1978

Published in: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01050961

zbMATH Keywords

stabilitylinear approximationmixed problemKorteweg-de Vries-Burgers equationtwo immiscible fluidsnonsteady filtrationthird-order equationtraveling-wave type solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Flows in porous media; filtration; seepage (76S05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Cites Work

• Theory of nonsteady nonequilibrium filtration of immiscible liquids
• The initial-value problem for the Korteweg-de Vries equation
• Model equations for long waves in nonlinear dispersive systems

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