A system of degenerate parabolic equations from plasma physics: The large time behavior

M. Bertsch; S. Kamin

doi:10.1137/S0036141098336613

A system of degenerate parabolic equations from plasma physics: The large time behavior

M. Bertsch^*, S. Kamin

^*Corresponding author for this work

School of Mathematical Sciences

University of Rome Tor Vergata

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

The authors study the large time behavior of solutions of a strongly coupled system of degenerate parabolic equations describing the heat and mass transfer in a one-dimensional plasma. The model was introduced by Hyman and Rosenau, and the existence of solutions was studied in our earlier paper. The results of this paper describe how the large time behavior depends on some of the parameters in the equations.

Original language	English
Pages (from-to)	776-790
Number of pages	15
Journal	SIAM Journal on Mathematical Analysis
Volume	31
Issue number	4
DOIs	https://doi.org/10.1137/S0036141098336613
State	Published - 2000

Keywords

Degenerate parabolic equations
Large time behavior
Nonlinear system
Plasma physics

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10.1137/S0036141098336613

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abstract = "The authors study the large time behavior of solutions of a strongly coupled system of degenerate parabolic equations describing the heat and mass transfer in a one-dimensional plasma. The model was introduced by Hyman and Rosenau, and the existence of solutions was studied in our earlier paper. The results of this paper describe how the large time behavior depends on some of the parameters in the equations.",

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AB - The authors study the large time behavior of solutions of a strongly coupled system of degenerate parabolic equations describing the heat and mass transfer in a one-dimensional plasma. The model was introduced by Hyman and Rosenau, and the existence of solutions was studied in our earlier paper. The results of this paper describe how the large time behavior depends on some of the parameters in the equations.

KW - Degenerate parabolic equations

KW - Large time behavior

KW - Nonlinear system

KW - Plasma physics

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A system of degenerate parabolic equations from plasma physics: The large time behavior

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