Add to ORKGAbstract. The gradient blowup rate of the equation ut = ∆u + jrujp, where p> 2, is studied. It is shown that the blowup rate will never match that of the self-similar variables. In the one space dimensional case when as-sumptions are made on the initial data so that the solution is monotonically increasing in time, the exact blowup rate is found. 1
This paper studies the nondegeneracy of the blowup limit and the single-point-blowup for the heat eq...
In this paper, we consider the standard semilinear heat equation \begin{eqnarray*} \partial_t u = \D...
This paper studies a growth rate of a solution blowing up at time T of the semilinear heat equation ...
AbstractThis paper establishes the blowup rate estimate near the blowup time for the heat equation u...
AbstractWe study the blow-up of solutions of nonlinear heat equations in dimension 1. We show that f...
This paper is concerned with the blow-up properties of Cauchy and Dirichlet problems of a coupled sy...
AbstractIn this work we study the blow-up rate for a nonlinear diffusion equation with an inner sour...
We study blowup of solutions of one-dimensional nonlinear heat equations (NLH). We consider two case...
We study blowup of solutions of one-dimensional nonlinear heat equations (NLH). We consider two case...
Abstract. This paper studies the nondegeneracy of the blowup limit and the single-point-blowup for t...
18 pagesWe consider a nonlinear heat equation with a gradient term. We construct a blow-up solution ...
Proceedings of the Conference EDP - Normnandie, Le Havre, October 21-22, 2015International audienceW...
Proceedings of the Conference EDP - Normnandie, Le Havre, October 21-22, 2015International audienceW...
We consider radial decreasing solutions of the semilinear heat equation, both for subcrit-ical and s...
This paper studies the nondegeneracy of the blowup limit and the single-point-blowup for the heat eq...
This paper studies the nondegeneracy of the blowup limit and the single-point-blowup for the heat eq...
In this paper, we consider the standard semilinear heat equation \begin{eqnarray*} \partial_t u = \D...
This paper studies a growth rate of a solution blowing up at time T of the semilinear heat equation ...
AbstractThis paper establishes the blowup rate estimate near the blowup time for the heat equation u...
AbstractWe study the blow-up of solutions of nonlinear heat equations in dimension 1. We show that f...
This paper is concerned with the blow-up properties of Cauchy and Dirichlet problems of a coupled sy...
AbstractIn this work we study the blow-up rate for a nonlinear diffusion equation with an inner sour...
We study blowup of solutions of one-dimensional nonlinear heat equations (NLH). We consider two case...
We study blowup of solutions of one-dimensional nonlinear heat equations (NLH). We consider two case...
Abstract. This paper studies the nondegeneracy of the blowup limit and the single-point-blowup for t...
18 pagesWe consider a nonlinear heat equation with a gradient term. We construct a blow-up solution ...
Proceedings of the Conference EDP - Normnandie, Le Havre, October 21-22, 2015International audienceW...
Proceedings of the Conference EDP - Normnandie, Le Havre, October 21-22, 2015International audienceW...
We consider radial decreasing solutions of the semilinear heat equation, both for subcrit-ical and s...
This paper studies the nondegeneracy of the blowup limit and the single-point-blowup for the heat eq...
This paper studies the nondegeneracy of the blowup limit and the single-point-blowup for the heat eq...
In this paper, we consider the standard semilinear heat equation \begin{eqnarray*} \partial_t u = \D...
This paper studies a growth rate of a solution blowing up at time T of the semilinear heat equation ...