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Singular solutions of a fully nonlinear 2 × 2 system of conservation laws

Singular solutions of a fully nonlinear 2 × 2 system of conservation laws

Abstract Existence and admissibility of δ-shock solutions is discussed for the non-convex strictly hyperbolic system of equations The system is fully nonlinear, i.e. it is nonlinear with respect to both unknowns, and it does not admit the classical Lax-admissible solution for certain Riemann problems. By introducing complex-valued corrections in the …