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Quenching and propagation in KPP reaction-diffusion equations with a heat loss
Quenching and propagation KPP reaction-diffusion equations heat loss
2015/7/14
We consider a reaction-diffusion system of the KPP type in a shear flow and with a non-zeroheat loss parameter. We establish criteria for the flame blow-off and propagation, and identify the propagati...
We consider a reaction-diffusion equation in a cellular flow. We prove that in the strong flow regime there are two possible scenario for the initial data that is compactly supported and the size of t...
Propagation and quenching in a reactive Burgers-Boussinesq system
Propagation quenching Burgers-Boussinesq system
2015/7/14
We investigate the qualitative behavior of solutions of a Burgers-Boussinesq system – a reaction-diffusion equation coupled via gravity to a Burgers equation – by a combination of numerical, asymptoti...
The Quenching Phenomena for Fourth-order Nonlinear Parabolic Equationos
Quenching phenomena fourth-order parabolic equation Quenching time
2011/10/15
In this paper, we investigate the quenching phenomena of initial boundary value problem for the fourth-order nonlinear parabolic equations in bounded domains. First, we not only obtain quenching pheno...
The quenching phenomena for second-order nonlinear parabolic equation with nonlinear source
Parabolic equation Quenching phenomena Unbounded domain
2011/10/15
In this paper, we investigate the quenching phenomena of the Cauchy problem for the second-order nonlinear parabolic equation on unbounded domain. It is shown that the solution quenches in finite time...
Jets are an important tool to probe the hot, dense medium produced in ultra-relativistic heavy-ion collisions. At the collision energies available at the Large Hadron Collider (LHC), there is copious ...