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Solvability of a tide dynamics model in adjacent seas
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V. M. Ipatova
Published/Copyright:
2005
In this paper, we study inviscid shallow-water equations in a domain on a rotating sphere, in which advection terms are omitted and the nonlinear force of bottom friction is taken into account. We prove the existence and uniqueness of the solution and the continuity of the resolving operator. Then we study the solvability of the basic and adjoint linear systems.
Published Online: --
Published in Print: 2005-02-01
Copyright 2005, Walter de Gruyter
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Articles in the same Issue
- Inverse problems of the mathematical theory of tides: boundary-function problem
- Study and solution of identification problems for nonstationary 2D and 3D convection–diffusion equations
- Identification of the initial function for nonlinear delay differential equations
- Solvability of a tide dynamics model in adjacent seas
- Variational data assimilation for a nonstationary heat conduction problem with nonlinear diffusion
- Mathematical model of sea dynamics in a σ-coordinate system
Articles in the same Issue
- Inverse problems of the mathematical theory of tides: boundary-function problem
- Study and solution of identification problems for nonstationary 2D and 3D convection–diffusion equations
- Identification of the initial function for nonlinear delay differential equations
- Solvability of a tide dynamics model in adjacent seas
- Variational data assimilation for a nonstationary heat conduction problem with nonlinear diffusion
- Mathematical model of sea dynamics in a σ-coordinate system
