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L∞continuation principle to the non-baratropic non-resistive magnetohydrodynamic equations without heat conductivity
- Source :
- Mathematical Methods in the Applied Sciences. 39:4234-4245
- Publication Year :
- 2016
- Publisher :
- Wiley, 2016.
-
Abstract
- The aim of this paper is to establish a continuation principle for strong solutions to the full compressible magnetohydrodynamic system without resistivity and heat conductivity. We prove that if the solution loses its regularity in finite time, the dominated part is due to the hyperbolic effect. More precisely, it is essentially shown that the strong solution exists globally if the density, temperature, and magnetic field are bounded from above, where vacuum is allowed to exist. This verifies a problem proposed by D.Serre. Copyright © 2016 John Wiley & Sons, Ltd.
- Subjects :
- Resistive touchscreen
General Mathematics
010102 general mathematics
Mathematical analysis
General Engineering
Thermodynamics
01 natural sciences
Magnetic field
010101 applied mathematics
Continuation
Thermal conductivity
Electrical resistivity and conductivity
Bounded function
Compressibility
Magnetohydrodynamic drive
0101 mathematics
Mathematics
Subjects
Details
- ISSN :
- 01704214
- Volume :
- 39
- Database :
- OpenAIRE
- Journal :
- Mathematical Methods in the Applied Sciences
- Accession number :
- edsair.doi...........3eb830f5aa24d2c67bbebb09509c47c1