A note on uniqueness and compact support of solutions in a recent model for tsunami background flows | Zendy

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A note on uniqueness and compact support of solutions in a recent model for tsunami background flows

Author(s) -

Anna Geyer

Publication year - 2012

Publication title -

communications on pure andamp applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.077

H-Index - 42

eISSN - 1553-5258

pISSN - 1534-0392

DOI - 10.3934/cpaa.2012.11.1431

Subject(s) - uniqueness , vorticity , context (archaeology) , lipschitz continuity , class (philosophy) , elementary proof , mathematics , mathematical analysis , physics , pure mathematics , computer science , vortex , geology , mechanics , paleontology , artificial intelligence

We present an elementary proof of uniqueness for solutions of an initial value problem which is not Lipschitz continuous, generalizing a technique employed in [20]. This approach can be applied for a wide class of vorticity functions in the context of [6], where, departing from a recent model for the evolution of tsunami waves developed in [10], the possibility of modelling background ows with isolated regions of vorticity is rigorously established.

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