Nonlinear evolution equations of Sobolev-Galpern type

DOI10.1007/BF01214933zbMath0324.34061MaRDI QIDQ1224702

Bui An Ton

Publication date: 1976

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172445

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Differential equations in abstract spaces (34G99)

Related Items

Periodic solutions of ordinary differential equations in a Hilbert space and a quasilinear pseudoparabolic boundary value problem ⋮ On the initial-value problem for compressible fluid flows with vanishing viscosity ⋮ Finite dimensional behavior for forced nonlinear Sobolev-Galpern equations ⋮ On some nonlinear pseudo-parabolic equations ⋮ Initial-value problems for the Boussinesq equations of water waves ⋮ Blow-up phenomena for a class of metaparabolic equations with time dependent coeffcient

Cites Work

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• A cooling process according to two-temperature theory of heat conduction
• Certain non-steady flows of second-order fluids
• Weak solutions of nonlinear evolution equations of Sobolev-Galpern type
• Internal waves of permanent form in fluids of great depth
• Weakly non-linear waves in rotating fluids
• Pseudoparabolic Partial Differential Equations
• Model equations for long waves in nonlinear dispersive systems

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