180 citations · 1.3k across the 65 of their papers we have counts for
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math.AP2011★ 1 cited
Multiplicity of supercritical fronts for reaction-diffusion equations in cylinders
P. V. Gordon, C. B. Muratov, M. Novaga
We study multiplicity of the supercritical traveling front solutions for scalar reaction-diffusion equations in infinite cylinders which invade a linearly unstable equilibrium. The…
math.AP2011★ 77 cited
On an isoperimetric problem with a competing non-local term. I. The planar case
Hans Knuepfer, Cyrill B. Muratov
This paper is concerned with a study of the classical isoperimetric problem modified by an addition of a non-local repulsive term. We characterize existence, non-existence and radi…
math.AP2011★ 1 cited
Global exponential convergence to variational traveling waves in cylinders
C. B. Muratov, M. Novaga
We prove, under generic assumptions, that the special variational traveling wave that minimizes the exponentially weighted Ginzburg-Landau functional associated with scalar reactio…