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- W1969997204 abstract "We study strong solutions of the equations of compressible magnetohydrodynamics with zero resistivity in a domain Ω⊂R3. We establish a criterion for possible breakdown of such solutions at a finite time in terms of both ‖∇u‖L1(0,T;L∞) and ‖θ‖L∞(0,T;L∞). More precisely, if a solution of 3D compressible magnetohydrodynamics with zero resistivity is initially regular and loses its regularity at some later time, then the loss of regularity implies growth without bound of both ‖∇u‖L1(0,T;L∞) and ‖θ‖L∞(0,T;L∞) as the critical time approaches. In addition, initial vacuum states are allowed in our cases." @default.
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- W1969997204 date "2013-04-01" @default.
- W1969997204 modified "2023-10-16" @default.
- W1969997204 title "Blow-up criterion for 3-D compressible magnetohydrodynamics with vacuum and zero resistivity" @default.
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- W1969997204 doi "https://doi.org/10.1016/j.jmaa.2012.10.058" @default.
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