Existence of global smooth solution to the relativistic Euler equations
โ Scribed by Lizhi Ruan; Changjiang Zhu
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 177 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
In this paper, we are concerned with the global existence and convergence rates of the smooth solutions for the compressible magnetohydrodynamic equations in R 3 . We prove the global existence of the smooth solutions by the standard energy method under the condition that the initial data are close
We derive a geometric necessary and sufficient condition for the existence of solutions to a global eikonal equation. We also study the existence of a minimal solution to this equation, and its relation with the wellknown minimal time function.
DiPerna [R.J. DiPerna, Global solutions to a class of nonlinear hyperbolic systems of equations, Comm. Rat. Pure Appl. Math. 26 (1973) 1-28] use the Glimm's scheme method to obtain a global weak solution to the Euler equations of one-dimensional, compressible fluid flow with 1 < ฮณ < 3, while in this