A counter‐example concerning regularity properties for systems of conservation laws
A counter‐example concerning regularity properties for systems of conservation laws
Abstract We exhibit an explicit counter‐example which rules the possibility of extending to systems of conservation laws a regularity property of scalar conservation laws known as Schaeffer's Theorem. Loosely speaking, Schaeffer's Regularity Theorem asserts that, for a generic smooth initial datum, the solution of the Cauchy problem can develop at …