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Filtering by: Subject Cauchy problem -- Numerical solutions Peer Reviewed No Subject Cauchy problem -- Numerical solutions

A nonlinear shallow water wave equation and its classical solutions of the cauchy problem

Creator:

Crow, John A.

Abstract:

A nonlinear wave equation is developed, modeling the evolution in time of shallow water waves over a variable topography. As the usual assumptions of a perfect fluid and an irrotational flow are not made, the resulting model equation is dissipative due to the presence of a viscous boundary layer at...

Resource Type:

Dissertation

Full Text:

and Soholev space embeddings that a long time classical (C2) solution to the Cauchy problem exists