most cited-contraction of large planar shock waves for multi-dimensional scalar viscous conservation laws

6 citations · 11 across the 3 of their papers we have counts for

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math.AP2024

Long-time behavior toward composite wave of shocks for 3D barotropic navier-stokes system

Moon-Jin Kang, Hobin Lee

We consider the barotropic Navier-Stokes system in three space dimensions with periodic boundary condition in the transversal direction. We show the long-time behavior of the 3D ba…

math.AP20241 cited

decay for large perturbations of viscous shocks for multi-D Burgers equation

Moon-Jin Kang, HyeonSeop Oh

We consider a planar viscous shock of moderate strength for a scalar viscous conservation law in multi-D. We consider a strictly convex flux, as a small perturbation of the Burgers…

math.AP20166 cited

-contraction of large planar shock waves for multi-dimensional scalar viscous conservation laws

Moon-Jin Kang, Alexis Vasseur, Yi Wang

We consider a -contraction of large viscous shock waves for the multi-dimensional scalar viscous conservation laws, up to a suitable shift. The shift function depends on the t…

math.AP20164 cited

Dynamics of a spatially homogeneous Vicsek model for oriented particles on the plane

Moon-Jin Kang, Javier Morales

We consider a spatially homogeneous Kolmogorov-Vicsek model in two dimensions, which describes the alignment dynamics of self-driven stochastic particles that move on the plane at…

math.AP20141 cited

Asymptotic analysis of Vlasov-type equations under strong local alignment regime

Moon-Jin Kang, Alexis F. Vasseur

We consider the hydrodynamic limit of a collisionless and non-diffusive kinetic equation under strong local alignment regime. The local alignment is first considered by Karper, Mel…