搜索结果: 1-15 共查到“数学 fronts”相关记录18条 . 查询时间(0.079 秒)
Stability of Generalized Transition Fronts
Generalized Transition Fronts
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2015/10/15
We study the qualitative properties of the generalized transition fronts for the reaction diffusion equations with the spatially inhomogeneous nonlinearity of the ignition type. We show that transitio...
GENERALIZED FRONTS FOR ONE-DIMENSIONAL REACTION-DIFFUSION EQUATIONS
GENERALIZED FRONTS REACTION-DIFFUSION EQUATIONS
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2015/10/15
For a class of one-dimensional reaction-diffusion equations, we establish the existence of generalized fronts, as recently defined by Berestycki and Hamel. We also prove uniform nondegeneracy estimate...
EXISTENCE AND ASYMPTOTICS OF FRONTS IN NON LOCAL COMBUSTION MODELS
EXISTENCE ASYMPTOTICS NON LOCAL COMBUSTION MODELS
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2015/10/15
We prove the existence and give the asymptotic behavior of non local fronts in homogeneous media.
Non-Planar Fronts in Boussinesq Reactive Flows
Non-Planar Fronts Boussinesq Reactive Flows
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2015/7/14
We consider the reactive Boussinesq equations in a slanted cylinder, with zero stress boundary conditions and arbitrary Rayleigh number. We show that the equations have non-planar traveling front solu...
Traveling fronts in porous media: existence and a singular limit
Traveling fronts porous media existence singular limit
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2015/7/14
We consider a model for the propagation of a subsonic detonation wave through a porous medium introduced by Sivashinsky [8]. We show that it admits travelling wave solutions that converge in the limit...
Bounds on the speed of propagation of the KPP fronts in a cellular flow
propagation KPP fronts cellular flow
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2015/7/14
We consider a reaction-diffusion-advection equation with a nonlinearity of the KPP type in a cellular flow. We show that the minimal pulsating traveling front speed c∗(A) in a flow ofamplitude A...
Non-adiabatic KPP fronts with an arbitrary Lewis number
Non-adiabatic KPP arbitrary Lewis number
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2015/7/14
We establish existence of travelling fronts in thermo-diffusive systems of the KPP type in a shear flow with an arbitrary Lewis number and a positive heat-loss at the boundary. We then prove that the ...
Stability of Generalized Transition Fronts
Generalized Transition Fronts
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2015/7/14
We study the qualitative properties of the generalized transition fronts for the reactiondiffusion equations with the spatially inhomogeneous nonlinearity of the ignition type. We show that transition...
Travelling fronts for the thermodiffusive system with arbitrary Lewis numbers
Travelling fronts thermodiffusive system arbitrary Lewis numbers
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2015/7/14
We consider KPP-type systems in a cylinder with an arbitrary Lewis number (the ratio of thermal and material diffusivities) in the presence of a shear flow. We show that traveling fronts solutions exi...
Existence and Non-existence of Fisher-KPP Transition Fronts
Existence Non-existence Fisher-KPP
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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...
The logarithmic delay of KPP fronts in a periodic medium
logarithmic delay KPP fronts periodic medium
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2015/7/14
We consider solutions of the KPP-type equations with a periodically varying reaction rate, and compactly supported initial data. It has been shown by Bramson [5, 6] in the case of the constant reactio...
Stability of planar fronts for a non--local phase kinetics equation with a conservation law in $D \le 3$
phase kinetics fronts non-linear stability non local equation
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2011/9/21
Abstract: We consider, in a $D-$dimensional cylinder, a non--local evolution equation that describes the evolution of the local magnetization in a continuum limit of an Ising spin system with Kawasaki...
Computing material fronts with a Lagrange-Projection approach
Computing material fronts Lagrange-Projection approach
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2011/2/24
This paper reports investigations on the computation of mate-rial fronts in multi-fluid models using a Lagrange-Projection ap-proach. Various forms of the Projection step are considered. Par-ticular a...
Existence and Non-existence of Fisher-KPP Transition Fronts
Existence Non-existence Fisher-KPP Transition Fronts
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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-...
Study of three-dimensional crack fronts under plane stress using a phase field model
Materials Science (cond-mat.mtrl-sci) Other Condensed Matter (cond-mat.other) Pattern Formation and Solitons (nlin.PS)
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2010/11/11
The shape of a crack front propagating through a thin sample is studied using a phase field model. The model is shown to have a well defined sharp interface limit. The crack front is found to be an el...