161 citations · 2k across the 112 of their papers we have counts for
3 papers · 2 filters
A New Mode Reduction Strategy for the Generalized Kuramoto-Sivashinsky Equation
M. Schmuck, M. Pradas, G. A. Pavliotis +1
Consider the generalized Kuramoto-Sivashinsky (gKS) equation. It is a model prototype for a wide variety of physical systems, from flame-front propagation, and more general front p…
The overdamped limit of dynamic density functional theory: Rigorous results
Benjamin D. Goddard, Grigorios A. Pavliotis, Serafim Kalliadasis
Consider the overdamped limit for a system of interacting particles in the presence of hydrodynamic interactions. For two-body hydrodynamic interactions and one- and two-body poten…
Exponential return to equilibrium for hypoelliptic quadratic systems
M. Ottobre, G. A. Pavliotis, K. Pravda-Starov
We study the problem of convergence to equilibrium for evolution equations associated to general quadratic operators. Quadratic operators are non-selfadjoint differential operators…