Cauchy problem for an isentropic magnetogasdynamic system
DSpace at IIT Bombay
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Title |
Cauchy problem for an isentropic magnetogasdynamic system
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Creator |
FU, XY
SHARMA, VD |
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Subject |
GLOBAL SMOOTH SOLUTIONS
HYPERBOLIC SYSTEMS GAS-DYNAMICS RELAXATION EXISTENCE EQUATIONS Quasi linear hyperbolic system Cauchy problem Global solution Magnetogasdynamics |
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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.
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Publisher |
ACADEMIC PRESS INC ELSEVIER SCIENCE
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Date |
2016-01-14T14:26:17Z
2016-01-14T14:26:17Z 2015 |
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Type |
Article
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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 |
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Language |
en
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