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Existence and Non-existence of Fisher-KPP Transition Fronts
Existence Non-existence Fisher-KPP
2015/7/14
We consider Fisher-KPP-type reaction-diffusion equations with spatially inhomogeneous reaction rates. We show that a sufficiently strong localized inhomogeneity may prevent existence of transition-fro...
Existence and Non-existence of Fisher-KPP Transition Fronts
Existence Non-existence Fisher-KPP Transition Fronts
2011/1/20
We consider Fisher-KPP-type reaction-diffusion equations with spatially inhomogeneous re-
action rates. We show that a sufficiently strong localized inhomogeneity may prevent existence of transition-...
Towards a homotopy theory of higher dimensional transition systems
homotopy theory dimensional transition systems
2010/11/9
We proved in a previous work that Cattani-Sassone's higher dimensional transition systems can be interpreted as a small-orthogonality class of a topological locally finitely presentable category of w...
Charged polymers in the attractive regime: a first order transition from Brownian scaling to four points localization
Charged polymers attractive regime Brownian scaling four points localization
2010/11/11
We study a quenched charged-polymer model, introduced by Garel and Orland in 1988, that reproduces the folding/unfolding transition of biopolymers. We prove that, below the critical inverse temperatu...
A phase-field model for the paraelectric-ferroelectric transition
Ferroelectricity Phase transition Evolution equations
2010/9/16
The purpose of the paper is to model the nonlinear relation characterizing the ferroelectric properties of polycrystals and to frame the paraelectric-ferroelectric transition as a classical transition...
Asymptotic Expansions of Transition Densities for Hybrid Jump-diffusions
Markov chain jump diffusion hybrid model Poisson process asymptotic expansion
2007/12/11
A class of hybrid jump diffusions modulated by a Markovchain is considered in this work. The motivation stems frominsurance risk models, and emerging applications in productionplanning and wireless co...