7 citations · 12 across the 3 of their papers we have counts for
3 papers
math.AP2017
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…
math.DS2016★ 7 cited
Stable manifolds for a class of degenerate evolution equations and exponential decay of kinetic shocks
Alin Pogan, Kevin Zumbrun
We construct stable manifolds for a class of degenerate evolution equations including the steady Boltzmann equation, establishing in the process exponential decay of associated kin…
math.AP2012★ 5 cited
Quasi-gradient systems, modulational dichotomies, and stability of spatially periodic patterns
Alin Pogan, Arnd Scheel, Kevin Zumbrun
Extending the approach of Grillakis-Shatah-Strauss, Bronski-Johnson-Kapitula, and others for Hamiltonian systems, we explore relations between the constrained variational problem $…