= Weak-strong uniqueness principle
A weak-strong uniqueness principle says that a <weak solution> with the same data as a sufficiently regular <classical solution> agrees with that solution throughout its interval of regular existence, within the specified weak class. The conclusion is class-dependent: all bounded weak solutions of a prescribed $C^1$ linear transport field satisfy it, while nonlinear conservation laws require an admissibility condition such as an <entropy solution> condition.
Back to article page