## Abstract We establish the global existence of smooth solutions to the Cauchy problem for the multiβdimensional hydrodynamic model for semiconductors, provided that the initial data are perturbations of a given stationary solutions, and prove that the resulting evolutionary solution converges asy
Global smooth solution of hydrodynamical equation for the Heisenberg paramagnet
β Scribed by Guo Boling; Han Yongqian
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 105 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.450
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β¦ Synopsis
Abstract
In this note, we obtain the existence and uniqueness of global smooth solution for the Cauchy problem of multidimensional hydrodynamical equation for the Heisenberg paramagnet. Copyright Β© 2004 John Wiley & Sons, Ltd.
π 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
## Abstract In this paper, we study asymptotic behaviour of the global smooth solutions to the multidimensional hydrodynamic model for semiconductors. We prove that the solution of the problem converges to a stationary solution time asymptotically exponentially fast. Copyright Β© 2002 John Wiley & S