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A UNIQUENESS CRITERION FOR VISCOUS LIMITS OF
 

Summary: A UNIQUENESS CRITERION
FOR VISCOUS LIMITS OF
BOUNDARY RIEMANN
PROBLEMS
CLEOPATRA CHRISTOFOROU
LAURA V. SPINOLO
Preprint di Matematica N. 1
Luglio 2010
A UNIQUENESS CRITERION FOR VISCOUS LIMITS OF
BOUNDARY RIEMANN PROBLEMS
CLEOPATRA CHRISTOFOROU AND LAURA V. SPINOLO
Abstract. We deal with initial-boundary value problems for systems of con-
servation laws in one space dimension and we focus on the boundary Riemann
problem. It is known that, in general, different viscous approximations provide
different limits. In this paper, we establish sufficient conditions to conclude
that two different approximations lead to the same limit. As an application
of this result, we show that, under reasonable assumptions, the self-similar
second-order approximation
tU
+ xF (U

  

Source: Abbondandolo, Alberto - Scuola Normale Superiore of Pisa

 

Collections: Mathematics