[PDF] Top 20 On the Computation of Extinction Time for Some Nonlinear Parabolic Equations

... of nonlinear partial differential equations of parabolic type whose solutions for given initial data become identically nulle in finite time ...called extinction and T is called the ... See full document

... for nonlinear problems, it can be very hard to obtain quantitatively-accurate estimates because the invoked bounds typically consider worst-case scenarios, leading to huge stability ...numerical computation ... See full document

... The rest of the argument is similar to that in [], we omit it here. In order to prove the locally extinction of weak solutions, we need to prove that the solution remains bounded. Theorem . Assume that the ... See full document

... and some properties of almost periodic ...list some hypotheses and some results that will be used for existence and uniqueness of viscosity solutions, here we give an improvement of comparison result ... See full document

... quasilinear parabolic equation with a gradient term and nonlinear boundary ...‘blow-up time’, an upper estimate of the ‘blow-up rate’ and an upper estimate of the global solution are ...Finally, ... See full document

... Nonlinear parabolic systems like ...of parabolic problems has been the issue of intensive study (see for example [3, 4, 8–10] and the references cited therein), particulary the study of heat ... See full document

... By reducing B to be a linear and bounded operator in H, the resulting initial value problem for 1.1 has been treated by Bensoussan, Lions, and Papanicolau [2], who stated the existence a[r] ... See full document

... Navier-Stokes equations has been studied firstly from the splitting point of ...Euler equations (ν = ...same time step the convection operator in (19), ∂ω ∂t + ∇ · (ω(K ∗ ω)) = 0, and the diffusion ... See full document

... As we shall see, under certain conditions the solutions of this problem can become unbounded in a finite time. This phenomenon is known as blow-up, and has been observed for several scalar equations since ... See full document

... Few results Numerical methods State equations: G q, ψ = 0 - nonlinear parabolic set of PDE -marching in the streamwise direction -pseudo-time relaxation in the y- and z-directions finite[r] ... See full document

... In this paper we intend to study the Blow-up Phenomenon of forward parabolic PDE. Through putting forward different assumptions, we obtain the lower bounds for the blow-up time of the solution. Furthermore, ... See full document

... of parabolic regularization and Galerkin’s method to prove the existence of solutions to the problem mentioned and then obtain the comparison principle by arguing by ...finite time and approaches 0 in L 2 ( ... See full document

... The proof of Theorem 2.3 follows the same lines of the proof of 2, Theorem 4.1. Here we will only comment the different parts of it and the additional arguments necessary to adapt the mentioned result to the setting of ... See full document

... (3) By using tanh-coth method. These equations discussed by wazwaz[1] when .This paper is arranged as follows: In Section 2, we present concepts that make the chain rule is valid for fractional derivatives. In ... See full document

... of nonlinear finite difference equations corresponding to a class of periodic- parabolic systems with time delays and with nonlinear boundary conditions in a bounded domain is ... See full document

... to parabolic problems under a homoge- neous Dirichlet boundary condition and Neumann condition has earned great attention (see ...Recently, some papers began to consider the blow-up phenomena of these ... See full document

... via nonlinear boundary ...large time behavior of solutions by using modified upper and lower solution methods and constructing various upper and lower ... See full document

... The most important characteristic of equation (.) or (.) is in that, generally, the uniqueness of the solutions is not true; one can refer to [–]. Thus, for the equation of the type (.), we should mainly ... See full document

... Recently, Cao et al. [1] derived differential Harnack estimates for positive solutions to (1.1) on Riemannian manifolds with nonnegative Ricci curvature. The idea comes from [7, 8] where a systematic method was developed ... See full document

... For nonlinear parabolic evolution equations, it is proved that, under the assumptions oflocal Lipschitz continuity of nonlinearity and the dissipativity of semiflows, there exist approxi[r] ... See full document