We prove the existence of nonnegative weak solutions for a fourth-order nonlinear degenerate parabolic equation which arises in the description of thin viscous flows over an inclined plane. Regularity, positivity properties, and large-time behaviour of these solutions are also discussed.
A forth order degenerate parabolic equation describing thin viscous flows over an inclined plane / Giacomelli, Lorenzo. - In: APPLIED MATHEMATICS LETTERS. - ISSN 0893-9659. - STAMPA. - 12:(1999), pp. 107-111. [10.1016/S0893-9659(99)00130-5]
A forth order degenerate parabolic equation describing thin viscous flows over an inclined plane
GIACOMELLI, Lorenzo
1999
Abstract
We prove the existence of nonnegative weak solutions for a fourth-order nonlinear degenerate parabolic equation which arises in the description of thin viscous flows over an inclined plane. Regularity, positivity properties, and large-time behaviour of these solutions are also discussed.File allegati a questo prodotto
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