Porous medium equation with absorption and a nonlinear boundary condition

The behavior of solutions of a parabolic problem of gas or fluid flow in porous media was studied. The existence of globally bounded weak solutions or blow-up for the problem was analyzed. Adequate supersolutions and subsolutions were constructed and the results about global existence of weak soluti...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Andreu, F., Mazón, J.M., Toledo, J., Rossi, J.D.
Formato: JOUR
Materias:
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0362546X_v49_n4_p541_Andreu
Aporte de:
Descripción
Sumario:The behavior of solutions of a parabolic problem of gas or fluid flow in porous media was studied. The existence of globally bounded weak solutions or blow-up for the problem was analyzed. Adequate supersolutions and subsolutions were constructed and the results about global existence of weak solutions were proved.