we devote to investigate the quenching phenomenon for a reaction-diffusion system with coupled singular absorption terms, ut Δu − u−p1v−q1 , vt Δv − u−p2v−q2 . The solutions of the system quenches in finite time for any initial data are obtained, and the blow-up of time derivatives at the quenching point is verified. Moreover, under appropriate hypotheses, the criteria to identify the simultane...

This paper concerns the study of the numerical approximation for the following boundary value problem: 8><>: ut(x, t) − uxx(x, t) = −u(x, t), 0 < x < 1, t > 0, ux(0, t) = 0, u(1, t) = 1, t > 0, u(x, 0) = u0(x) > 0, 0 ≤ x ≤ 1, where p > 0. We obtain some conditions under which the solution of a semidiscrete form of the above problem quenches in a finite time and estimate its semidiscrete quenchi...

We use the formalism of Pouquet, Frisch and Léorat (hereafter PFL, 1976) to investigate time dependent quenching of α in mean field dynamo theory for a closed system. Quenching occurs as the result of an α induced flow of magnetic helicity from small to large scales. Our results agree reasonably well with with the numerical simulations of Brandenburg (2001ab). Gruzinov and Diamond (hereafter GD...

In this paper we find a possible continuation for quenching solutions to a system of heat equations coupled at the boundary condition. This system exhibits simultaneous and non-simultaneous quenching. For non-simultaneous quenching our continuation is a solution of a parabolic problem with Neumann boundary conditions. We also give some results for simultaneous quenching and present some numeric...

We present a first-principle computation of the jet quenching parameter, which describes the momentum broadening of a high-energy parton moving through the deconfined state of QCD matter at high temperature. Following an idea originally proposed by Caron-Huot, we explain how one can evaluate the soft contribution to the collision kernel characterizing this real-time phenomenon, analyzing certai...