180 citations · 1.3k across the 65 of their papers we have counts for
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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…
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…
Self-similar dynamics of morphogen gradients
Cyrill B. Muratov, Peter V. Gordon, Stanislav Y. Shvartsman
We discovered a class of self-similar solutions in nonlinear models describing the formation of morphogen gradients, the concentration fields of molecules acting as spatial regulat…
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…
Cavitation-induced ignition of cryogenic hydrogen-oxygen fluids
V. V. Osipov, C. B. Muratov, E. Ponizovskya-Devine +2
The Challenger disaster and purposeful experiments with liquid hydrogen (H2) and oxygen (Ox) tanks demonstrated that cryogenic H2/Ox fluids always self-ignite in the process of the…