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Global Existence for the Dirichlet Problem for the Viscous Shallow Water Equations

✍ Scribed by Linda Sundbye

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
217 KB
Volume
202
Category
Article
ISSN
0022-247X

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✦ Synopsis

A global existence and uniqueness theorem of strong solutions for the initialboundary-value problem with Dirichlet boundary conditions is established for small forcing and small initial data. An exponential C 0 decay rate is also established and the solution is shown to be classical for t ) 0. The positivity of the fluid height h for t G 0 is also proved.

πŸ“œ SIMILAR VOLUMES

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