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 most finitely many discontinuities on compact sets.
A counter-example concerning regularity properties for systems of conservation laws
LV Spinolo
2015
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 most finitely many discontinuities on compact sets.File in questo prodotto:
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