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Decay bounds for magnetohydrodynamic geophysical flow

Title
Decay bounds for magnetohydrodynamic geophysical flow
Author
송종철
Keywords
geophysical equations; decay estimates; a priori bounds
Issue Date
2006-10
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Citation
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v. 65, No. 7, Page. 1318-1333
Abstract
This paper establishes exponential decay bounds for steady magnetohydrodynamic geophysical finite pipe flow when homogeneous lateral surface boundary conditions are applied. In the spirit of earlier work of C.O. Horgan, L.T. Wheeler [Spatial decay estimates for the Navier-Stokes equations with application to the problem of entry flow, SIAM J. Appl. Math. 35 (1978) 97-116] and K.A. Ames, L.E. Payne [Decay estimates in steady pipe flow, SIAM J. Math. Anal. 20 (1989) 789-815] the decay to fully developed flow as a function of distance from the entry section is investigated. Here, it is not assumed that the flow is symmetric like in the work of J.C. Song, [Decay estimates for steady magnetohydrodynamic pipe flow, Nonlinear Anal. 54 (2003) 1029-1044] and it is fully developed at the exit section. Using a coupling parameter, we derive an integro-differential inequality that leads to estimates for the energy associated with the velocity and magnetic field represented by the difference between the entrance flow and the fully developed flow in a portion of the pipe near the exit section. This paper also indicates how to bound the total energy. @ 2005 Elsevier Ltd. All fights reserved.
URI
https://www.sciencedirect.com/science/article/pii/S0362546X05008771https://repository.hanyang.ac.kr/handle/20.500.11754/108365
ISSN
0362-546X
DOI
10.1016/j.na.2005.10.013
Appears in Collections:
COLLEGE OF SCIENCE AND CONVERGENCE TECHNOLOGY[E](과학기술융합대학) > APPLIED MATHEMATICS(응용수학과) > Articles
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