50 citations · 181 across the 22 of their papers we have counts for
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Non-contraction of intermediate admissible discontinuities for 3-D planar isentropic magnetohydrodynamics
Moon-Jin Kang
We investigate non-contraction of large perturbations around intermediate entropic shock waves and contact discontinuities for the three-dimensional planar compressible isentropic…
Global well-posedness of the spatially homogeneous Kolmogorov-Vicsek model as a gradient flow
Alessio Figalli, Moon-Jin Kang, Javier Morales
We consider the so-called spatially homogenous Kolmogorov-Vicsek model, a non-linear Fokker-Planck equation of self-driven stochastic particles with orientation interaction under t…
Criteria on contractions for entropic discontinuities of systems of conservation laws
Moon-Jin Kang, Alexis F. Vasseur
We study the contraction properties (up to shift) for admissible Rankine-Hugoniot discontinuities of systems of conservation laws endowed with a convex entropy. We firs…
Global weak solutions for Kolmogorov-Vicsek type equations with orientational interactions
Irene M. Gamba, Moon-Jin Kang
We study the global existence and uniqueness of weak solutions to kinetic Kolmogorov-Vicsek models that can be considered a non-local non-linear Fokker-Planck type equation describ…