Preprint 1998-021

The Zero Relaxation Limit for $2\times 2$ Hyperbolic Systems

Abstract: We study the zero relaxation limit for a class of $2 \times 2$ strictly hyperbolic systems of balance laws. In particular we show the strong convergence toward the solution of the formal limit of the system and the validity of an infinite number of Kruzkov-type entropy inequalities. Moreover, we give a uniqueness result for this solution.

Paper:

Available as PostScript.

Title:

The zero relaxation limit for $2\times 2$ hyperbolic systems

Author(s):

C. Lattanzio, mailto:corrado@univaq.it

P. Marcati, mailto:marcati@univaq.it

Publishing information:

J. Nonlinear Analysis 38, 375-389 (1999).

Comments:

Submitted by:

mailto:corrado@univaq.it May 25 1998.