Semilinear parabolic equation

In this paper, using the asymptotic a priori estimate method, we prove the existence of pullback attractors for a nonautonomous semilinear strongly degenerate parabolic equation, without restriction on the growth order of the polynomial type non-linearity and with a suitable exponential growth of the external force. The obtained results improve some recent ones for the non-autonomous reaction–diffusion equations.

9p nhanchienthien 25-07-2023 4 3   Download

In the paper "Global attractors for semilinear parabolic equations with delays", we prove the existence and upper semicontinuity of global attractors with respect to parameters for semilinear parabolic equations with general delays. The obtained results recover and extend some known ones about a non-local PDE with the stateselective delay in [10].

18p runordie5 04-07-2022 1 1   Download

The aim of the paper "Global attractor for a semilinear parabolic equation involving grushin operator" is to prove the existence of a global attractor for a semilinear degenerate parabolic equation involving the Grushin operator.

11p runordie3 27-06-2022 6 3   Download

The understanding of the asymptotic behavior of dynamical systems is one of the most important problems of modern mathematical physics. One way to attack the problem for a dissipative dynamical system is to consider its global attractor. This is an invariant set that attracts all the trajectories of the system. In the paper "Global existence and long-time behavior of solutions to a class of degenerate parabolic equations" we study the following semilinear degenerate parabolic equation with variable.

14p runordie3 27-06-2022 10 3   Download

We prove a local existence of weak solutions of semilinear parabolic equations with a strong singular absorption and a source. Moreover, we consider the qualitative behavior of solutions.

10p vioishi2711 01-07-2019 17 1   Download

In this paper, we address the solution of a semilinear heat equation with variable reaction subject to Dirichlet boundary conditions and nonnegative initial datum. Under some assumptions, we show that the solution of the above problem blows up in a finite time, and its blow-up time goes to that of the solution of a certain differential equation. Finally, we give some numerical results to illustrate our analysis.

14p tuongvidanh 06-01-2019 26 1   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: ON BASIN OF ZERO-SOLUTIONS TO A SEMILINEAR PARABOLIC EQUATION WITH ORNSTEIN-UHLENBECK OPERATOR

10p dauphong18 09-03-2012 31 3   Download