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On a pseudoparabolic problem with constraint. (English) Zbl 1212.35261

Summary: This work deals with the study of a nonlinear degenerate pseudoparabolic problem. Arising from the modelling of sedimentary basin formation, the equation degenerates in order to take implicitly into account a constraint on the time derivative of the unknown. An existence result of a solution with an adapted compactness result and qualitative properties of the solutions are proposed (localization, finite speed of propagation, etc.).

MSC:

35K70 Ultraparabolic equations, pseudoparabolic equations, etc.
35Q35 PDEs in connection with fluid mechanics
35R35 Free boundary problems for PDEs
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