On the Existence and Compactness of a Two-Dimensional Resonant System of Conservation Laws
On the Existence and Compactness of a Two-Dimensional Resonant System of Conservation Laws
We prove the existence of a weak solution to a two-dimensional resonant 3 × 3 system of conservation laws with BV initial data.Due to possible resonance (coinciding eigenvalues), spatial BV estimates are in general not available.Instead, we use an entropy dissipation bound combined with the time translation invariance property of …