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.).
"On a pseudoparabolic problem with constraint." Differential Integral Equations 19 (12) 1391 - 1412, 2006. https://doi.org/10.57262/die/1356050295