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Global existence for systems of parabolic conservation laws in several space variables

✍ Scribed by David Hoff; Joel Smoller

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
451 KB
Volume
68
Category
Article
ISSN
0022-0396

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πŸ“œ SIMILAR VOLUMES

Global Existence and Optimal Temporal De
Global Existence and Optimal Temporal Decay Estimates for Systems of Parabolic Conservation Laws. II. The Multidimensional Case
✍ Alan Jeffrey; Huijiang Zhao πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 248 KB

This paper is a continuation of our previous paper. It is concerned with the global existence and the optimal temporal decay estimates for the Cauchy problem of the following multidimensional parabolic conservation laws

Weakly Nonlinear Limit for the Relaxatio
Weakly Nonlinear Limit for the Relaxation Approximation of Conservation Laws in Several Space Dimensions
✍ Huijiang Zhao πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 324 KB

In this paper, the weakly nonlinear limit for the relaxation approximation of conservation laws in several space dimensions is derived through asymptotic expansions and justified by employing the energy estimates. Compared with the work of G. Q. Chen, C. D. Levermore, and T. P. Liu (1994, Comm. Pure

The existence of global in space variabl
The existence of global in space variables solution for non-linear subelliptic equation of floating water
✍ Leszek Sidz πŸ“‚ Article πŸ“… 1994 πŸ› John Wiley and Sons 🌐 English βš– 508 KB

## Abstract The existence of global in space variables solutions for a class of non‐linear subelliptic evolution operators is proved. A Cauchy problem and an initial‐boundary value problem are considered using the contraction theorem and Galerkin methods.