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

C. Lattanzio and P. Marcati

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.

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