107 citations · 1.1k across the 120 of their papers we have counts for
5 papers · 2 filters
A singular local minimizer for the volume constrained minimal surface problem in a nonconvex domain
Peter Sternberg, Kevin Zumbrun
It has recently been established byWang and Xia [WX] that local minimizers of perimeter within a ball subject to a volume constraint must be spherical caps or planes through the or…
Existence and stability of steady compressible Navier-Stokes solutions on a finite interval with noncharacteristic boundary conditions
Benjamin Melinand, Kevin Zumbrun
We study existence and stability of steady solutions of the isentropic compressible Navier-Stokes equations on a finite interval with non characteristic boundary conditions, for ge…
Balanced flux formulations for multidimensional Evans function computations for viscous shocks
Blake Barker, Jeffrey Humpherys, Gregory Lyng +1
The Evans function is a powerful tool for the stability analysis of viscous shock profiles; zeros of this function carry stability information. In the one-dimensional case, it is t…
Reverse norms and L infinity exponential decay for a class of degenerate evolution systems arising in kinetic theory
Alin Pogan, Kevin Zumbrun
We consider the question of exponential decay to equilibrium of solutions of an abstract class of degenerate evolution equations on a Hilbert space modeling the steady Boltzmann an…
Turing patterns in parabolic systems of conservation laws and numerically observed stability of periodic waves
Blake Barker, Soyeun Jung, Kevin Zumbrun
Turing patterns on unbounded domains have been widely studied in systems of reaction-diffusion equations. However, up to now, they have not been studied for systems of conservation…