# Single-point blow-up for parabolic systems with exponential nonlinearities and unequal diffusivities

@article{Souplet2015SinglepointBF, title={Single-point blow-up for parabolic systems with exponential nonlinearities and unequal diffusivities}, author={Philippe Souplet and Slim Tayachi}, journal={arXiv: Analysis of PDEs}, year={2015} }

## 8 Citations

Construction and stability of type I blowup solutions for non-variational semilinear parabolic systems

- MathematicsAdvances in Pure and Applied Mathematics
- 2019

Abstract In this note, we consider the semilinear heat system ∂tu=Δu+f(v),∂tv=μΔv+g(u),μ>0,\partial_{t}u=\Delta u+f(v),\quad\partial_{t}v=\mu\Delta v+g(u),\quad\mu>0, where the nonlinearity…

WELL-POSEDNESS, GLOBAL EXISTENCE AND DECAY ESTIMATES FOR THE HEAT EQUATION WITH GENERAL POWER-EXPONENTIAL NONLINEARITIES

- MathematicsProceedings of the International Congress of Mathematicians (ICM 2018)
- 2019

In this paper we consider the problem: $\partial_{t} u- \Delta u=f(u),\; u(0)=u_0\in \exp L^p(\R^N),$ where $p>1$ and $f : \R\to\R$ having an exponential growth at infinity with $f(0)=0.$ We prove…

Numerical approach to fractional blow-up equations with Atangana-Baleanu derivative in Riemann-Liouville sense

- Mathematics
- 2018

In this paper, we consider a numerical approach for fourth-order time fractional partial differential equation. This equation is obtained from the classical reaction-diffusion equation by replacing…

Blow-up analysis of solutions for weakly coupled degenerate parabolic systems with nonlinear boundary conditions

- Mathematics
- 2021

Blowing Up Solutions for Nonlinear Parabolic Systems with Unequal Elliptic Operators

- MathematicsJournal of Dynamics and Differential Equations
- 2019

We give sufficient conditions for the boundedness of the blow-up set and no boundary blow-up for type I blowing up solutions to a nonlinear parabolic system with unequal elliptic operators. We…

Blow-up set of type I blowing up solutions for nonlinear parabolic systems

- Mathematics
- 2017

We consider the blow-up problem for systems of nonlinear parabolic inequalities and establish a criterion for the location of the blow-up set. Our criterion enables us to obtain sufficient conditions…

Superlinear Parabolic Problems

- MathematicsBirkhäuser Advanced Texts Basler Lehrbücher
- 2019

Preliminaries.- Model Elliptic Problems.- Model Parabolic Problems.- Systems.- Equations with Gradient Terms.- Nonlocal Problems.

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