Abstract
We consider the Cauchy problem for a nonlinear $n \times n$ system of conservation laws of Temple class, i.e., with coinciding shock and rarefaction curves and with a coordinate system made of Riemann invariants. Without any assumption on the convexity of the flux function, we prove the existence of a semigroup made of weak solutions of the equations and depending Lipschitz continuously on the initial data with bounded total variation.
Citation
Stefano Bianchini. "The semigroup generated by a Temple class system with non-convex flux function." Differential Integral Equations 13 (10-12) 1529 - 1550, 2000. https://doi.org/10.57262/die/1356061138
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