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Local energy decay of solutions of linearized shallow‐water equations
Author(s) -
Geveci T.,
Kok B.,
Kreiss H.O.
Publication year - 1981
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670030123
Subject(s) - mathematics , dissipative system , mathematical analysis , boundary value problem , plane (geometry) , constant (computer programming) , shallow water equations , energy (signal processing) , initial value problem , domain (mathematical analysis) , waves and shallow water , boundary (topology) , geometry , physics , thermodynamics , statistics , computer science , programming language
We prove the local decay of the energy of the solution to a mixed initial boundary value problem for the linearized shallow‐water equations with constant coefficients, where the domain is a half‐plane, a certain dissipative boundary condition is prescribed and the initial data have compact support contained in the open half‐plane.