69 citations · 242 across the 49 of their papers we have counts for
8 papers · 1 filter
The Deterministic and Stochastic Shallow Lake Problem
George T. Kossioris, Michail Loulakis, Panagiotis E. Souganidis
We study the welfare function of the deterministic and stochastic shallow lake problem. We show that the welfare function is the viscosity solution of the associated Bellman equati…
Front Propagation for Nonlocal KPP Reaction-Diffusion Equations in Periodic Media
Panagiotis E. Souganidis, Andrei Tarfulea
We study front propagation phenomena for a large class of nonlocal KPP-type reaction-diffusion equations in oscillatory environments, which model various forms of population growth…
The reactive-telegraph equation and a related kinetic model
Christopher Henderson, Panagiotis E. Souganidis
We study the long-range, long-time behavior of the reactive-telegraph equation and a related reactive-kinetic model. The two problems are equivalent in one spatial dimension. We po…
On the Langevin equation with variable friction
Hitoshi Ishii, Panagiotis E. Souganidis, Hung V. Tran
We study two asymptotic problems for the Langevin equation with variable friction coefficient. The first is the small mass asymptotic behavior, known as the Smoluchowski-Kramers ap…
Super-linear propagation for a general, local cane toads model
Christopher Henderson, Benoît Perthame, Panagiotis Souganidis
We investigate a general, local version of the cane toads equation, which models the spread of a population structured by unbounded motility. We use the thin-front limit approach o…
On the existence of correctors for the stochastic homogenization of viscous hamilton-jacobi equations
Pierre Cardaliaguet, Panagiotis Souganidis
We prove, under some assumptions, the existence of correctors for the stochastic homoge-nization of of " viscous " possibly degenerate Hamilton-Jacobi equations in stationary ergod…