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STABILITY OF CONSTANT EQUILIBRIUM STATE FOR DISSIPATILE BALANCE LAWS SYSTEM WITH A CONVEX ENTROPY

TOMMASO RUGGERI and DENIS SERRE
Quarterly of Applied Mathematics
Vol. 62, No. 1 (March 2004), pp. 163-179
Published by: Brown University
Stable URL: http://www.jstor.org/stable/43638577
Page Count: 17
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
STABILITY OF CONSTANT EQUILIBRIUM STATE FOR DISSIPATILE BALANCE LAWS SYSTEM WITH A CONVEX ENTROPY
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Abstract

For a one-dimensional system of dissipâtive balance laws endowed with a convex entropy, we prove, under natural assumptions, that a constant equilibrium state is asymptotically L²-stable under a zero-mass initial disturbance. The technique is based on the construction of an appropriate Liapunov functional involving the entropy and a so-called compensation term.

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