5 papers
Multidimensional scalar conservation laws with discontinuous flux: well-posedness without non-degeneracy
Darko Mitrovic
We establish existence, uniqueness, and local \(L^1\)-stability for multidimensional scalar conservation laws with discontinuous heterogeneous flux, without imposing a non-degenera…
Regularity of velocity averages in kinetic equations with heterogeneity
Marko Erceg, Kenneth H. Karlsen, Darko MitroviÄ
This study investigates the regularity of kinetic equations with spatial heterogeneity. Recent progress has shown that velocity averages of weak solutions in () are…
Velocity averaging under minimal conditions for deterministic and stochastic kinetic equations with irregular drift
Marko Erceg, Kenneth H. Karlsen, Darko MitroviÄ
This study investigates the compactness of velocity averages of sequences of solutions for a class of kinetic equations. The equations are exam…
Orthogonality of H-distributions and applications
Nenad AntoniÄ, Darko MitroviÄ, Tomislav PeriÄ
We extend Gérard's results on orthogonality of sequences as a consequence of mutual singularity of corresponding H-measures (microlocal defect measures) to $…
On the regularity of entropy solutions to stochastic degenerate parabolic equations
Marko Erceg, Kenneth H. Karlsen, Darko MitroviÄ
We study the regularity of entropy solutions for quasilinear parabolic equations with anisotropic degeneracy and stochastic forcing. Building on previous works, we establish space-…