Initial Boundary Value Problem for the Evolution System of MHD Type Describing Geophysical Flow in Three-Dimensional Domains

Chunshan Zhao

doi:10.1002/mma.394

Initial Boundary Value Problem for the Evolution System of MHD Type Describing Geophysical Flow in Three-Dimensional Domains

Chunshan Zhao

Mathematical Sciences

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7 Scopus citations

Abstract

The initial boundary value problem for the evolution system describing geophysical flow in three-dimensional domains was considered. The existence and uniqueness of global strong solution to the evolution system were proved under assumption on smallness of data. Moreover, solvable compatibility conditions of initial data and boundary values which guarantee the existence and uniqueness of global strong solution were discussed.

Original language	American English
Journal	Mathematical Methods in the Applied Sciences
Volume	26
DOIs	https://doi.org/10.1002/mma.394
State	Published - Jun 2003

Disciplines

Mathematics

Keywords

Geophysical Flow
Initial Boundary Value Problem
Three-dimensional Domains

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title = "Initial Boundary Value Problem for the Evolution System of MHD Type Describing Geophysical Flow in Three-Dimensional Domains",

abstract = " The initial boundary value problem for the evolution system describing geophysical flow in three-dimensional domains was considered. The existence and uniqueness of global strong solution to the evolution system were proved under assumption on smallness of data. Moreover, solvable compatibility conditions of initial data and boundary values which guarantee the existence and uniqueness of global strong solution were discussed. ",

keywords = "Geophysical Flow, Initial Boundary Value Problem, Three-dimensional Domains",

author = "Chunshan Zhao",

year = "2003",

month = jun,

doi = "10.1002/mma.394",

language = "American English",

volume = "26",

journal = "Mathematical Methods in the Applied Sciences",

issn = "0170-4214",

publisher = "John Wiley and Sons Ltd",

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T1 - Initial Boundary Value Problem for the Evolution System of MHD Type Describing Geophysical Flow in Three-Dimensional Domains

AU - Zhao, Chunshan

PY - 2003/6

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N2 - The initial boundary value problem for the evolution system describing geophysical flow in three-dimensional domains was considered. The existence and uniqueness of global strong solution to the evolution system were proved under assumption on smallness of data. Moreover, solvable compatibility conditions of initial data and boundary values which guarantee the existence and uniqueness of global strong solution were discussed.

AB - The initial boundary value problem for the evolution system describing geophysical flow in three-dimensional domains was considered. The existence and uniqueness of global strong solution to the evolution system were proved under assumption on smallness of data. Moreover, solvable compatibility conditions of initial data and boundary values which guarantee the existence and uniqueness of global strong solution were discussed.

KW - Geophysical Flow

KW - Initial Boundary Value Problem

KW - Three-dimensional Domains

UR - https://doi.org/10.1002/mma.394

U2 - 10.1002/mma.394

DO - 10.1002/mma.394

M3 - Article

SN - 0170-4214

VL - 26

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

ER -

Initial Boundary Value Problem for the Evolution System of MHD Type Describing Geophysical Flow in Three-Dimensional Domains

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