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Global existence and decay of solutions to the Fokker-Planck-Boltzmann equation
Blowup of smooth solutions to the full compressible MHD system with compact density
| 1. | School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, Henan |
| 2. | School of Mathematics and Information Science, Henan polytechnic University, Jiaozuo 454000, Henan, China |
References:
| [1] |
D.-F. Bian and B.-L. Guo, Blow-up of smooth solutions to the isentropic compressible MHD equations, to appear in Applicable Analysis, 2013.
doi: 10.1080/00036811.2013.766324. |
| [2] |
Y. Cho and B. J. Jin, Blow-up of viscous heat-conducting compressible flows, J. Math. Anal. Appl., 320 (2006), 819-826.
doi: 10.1016/j.jmaa.2005.08.005. |
| [3] |
D. Du, J. Li and K. Zhang, Blow-up of smooth solutions to the Navier-Stokes equations for compressible isothermal fluids, Commun. Math. Sci., 11 (2013), 541-546.
doi: 10.4310/CMS.2013.v11.n2.a11. |
| [4] |
O. Rozanova, Blow up of smooth solutions to the barotropic compressible magnetohydrodynamic equations with finite mass and energy, in Hyperbolic Problems: Theory, Numerics and Applications (eds. E. Tadmor, J.-G. Liu and A. E. Tzavaras), Proc. Sympos. Appl. Math., 67, Part 2, Amer. Math. Soc., Providence, RI, 2009, 911-917.
doi: 10.1090/psapm/067.2/2605286. |
| [5] |
O. Rozanova, Blow-up of smooth highly decreasing at infinity solutions to the compressible Navier-Stokes equations, J. Differential Equations, 245 (2008), 1762-1774.
doi: 10.1016/j.jde.2008.07.007. |
| [6] |
Z. Xin, Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density, Comm. Pure Appl. Math., 51 (1998), 229-240. |
| [7] |
Z. Xin and W. Yan, On blowup of classical solutions to the compressible Navier-Stokes equations, Commun. Math. Sci., 321 (2013), 529-541.
doi: 10.1007/s00220-012-1610-0. |
show all references
References:
| [1] |
D.-F. Bian and B.-L. Guo, Blow-up of smooth solutions to the isentropic compressible MHD equations, to appear in Applicable Analysis, 2013.
doi: 10.1080/00036811.2013.766324. |
| [2] |
Y. Cho and B. J. Jin, Blow-up of viscous heat-conducting compressible flows, J. Math. Anal. Appl., 320 (2006), 819-826.
doi: 10.1016/j.jmaa.2005.08.005. |
| [3] |
D. Du, J. Li and K. Zhang, Blow-up of smooth solutions to the Navier-Stokes equations for compressible isothermal fluids, Commun. Math. Sci., 11 (2013), 541-546.
doi: 10.4310/CMS.2013.v11.n2.a11. |
| [4] |
O. Rozanova, Blow up of smooth solutions to the barotropic compressible magnetohydrodynamic equations with finite mass and energy, in Hyperbolic Problems: Theory, Numerics and Applications (eds. E. Tadmor, J.-G. Liu and A. E. Tzavaras), Proc. Sympos. Appl. Math., 67, Part 2, Amer. Math. Soc., Providence, RI, 2009, 911-917.
doi: 10.1090/psapm/067.2/2605286. |
| [5] |
O. Rozanova, Blow-up of smooth highly decreasing at infinity solutions to the compressible Navier-Stokes equations, J. Differential Equations, 245 (2008), 1762-1774.
doi: 10.1016/j.jde.2008.07.007. |
| [6] |
Z. Xin, Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density, Comm. Pure Appl. Math., 51 (1998), 229-240. |
| [7] |
Z. Xin and W. Yan, On blowup of classical solutions to the compressible Navier-Stokes equations, Commun. Math. Sci., 321 (2013), 529-541.
doi: 10.1007/s00220-012-1610-0. |
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