7 citations · 14 across the 8 of their papers we have counts for
6 papers · 1 filter
The Damped Waves Equation and generalized Cosine and Sine families on Banach spaces
Yuri Latushkin, Alin Pogan
We study the abstract damped wave equation on a Banach space, allowing the damping coefficient to be unbounded. By recasting the equation as a first-order system and identifying co…
Spectrum of non-planar traveling waves
Anna Ghazaryan, Yuri Latushkin, Alin Pogan
In this paper we prove that a class of non self-adjoint second order differential operators acting in cylinders have only real discrete s…
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…
Center manifolds for a class of degenerate evolution equations and existence of small amplitude kinetic shocks
Alin Pogan, Kevin Zumbrun
We construct center manifolds for a class of degenerate evolution equations including the steady Boltzmann equation and related kinetic models, establishing in the process existenc…
O(2) Hopf bifurcation of viscous shock waves in a channel
Alin Pogan, Jinghua Yao, Kevin Zumbrun
Extending work of Texier and Zumbrun in the semilinear non-re ection symmetric case, we study O(2) transverse Hopf bifurcation, or \cellular instability," of viscous shock waves in…
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 $…