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Cauchy problem for an isentropic magnetogasdynamic system

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Title Cauchy problem for an isentropic magnetogasdynamic system
 
Creator FU, XY
SHARMA, VD
 
Subject GLOBAL SMOOTH SOLUTIONS
HYPERBOLIC SYSTEMS
GAS-DYNAMICS
RELAXATION
EXISTENCE
EQUATIONS
Quasi linear hyperbolic system
Cauchy problem
Global solution
Magnetogasdynamics
 
Description This paper investigates the Cauchy problem for an isentropic magnetogasdynamic system. Under certain reasonable hypotheses on the initial data, we obtain the global existence and uniqueness of the C-1 solution to the system. Meanwhile, when the hypotheses on the initial data do not hold, we obtain the blow-up phenomena of the C-1 solution to the system. The bounds of the solution are shown to depend on the parameter nu, which characterizes a one-dimensional plane flow (nu = 0) or a three-dimensional cylindrically symmetric flow (nu = 1); it is shown that the existence of the finite time singularity is significantly influenced by the magnetic field strength present in the flow along with the initial data. (C) 2014 Elsevier Inc. All rights reserved.
 
Publisher ACADEMIC PRESS INC ELSEVIER SCIENCE
 
Date 2016-01-14T14:26:17Z
2016-01-14T14:26:17Z
2015
 
Type Article
 
Identifier JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 424(1)437-443
0022-247X
1096-0813
http://dx.doi.org/10.1016/j.jmaa.2014.11.024
http://dspace.library.iitb.ac.in/jspui/handle/100/17723
 
Language en