REGULARITY ANALYSIS FOR SYSTEMS OF REACTION-DIFFUSION EQUATIONS

Goudon, Thierry; Vasseur, Alexis

Document type :

Pré-publication ou Document de travail

Title :

REGULARITY ANALYSIS FOR SYSTEMS OF REACTION-DIFFUSION EQUATIONS

Author(s) :

Goudon, Thierry [Auteur]
SImulations and Modeling for PArticles and Fluids [SIMPAF]
Vasseur, Alexis [Auteur]
Department of Mathematics and Statistics [Texas Tech]

HAL domain(s) :

Mathématiques [math]/Equations aux dérivées partielles [math.AP]

English abstract : [en]

This paper is devoted to the study of the regularity of solutions to some systems of reaction–diffusion equations. In particular, we show the global boundedness and regularity of the solutions in one and two dimensions. ...
Show more >This paper is devoted to the study of the regularity of solutions to some systems of reaction–diffusion equations. In particular, we show the global boundedness and regularity of the solutions in one and two dimensions. In addition, we discuss the Hausdorff dimension of the set of singularities in higher dimensions. Our approach is inspired by De Giorgi's method for elliptic regularity with rough coefficients. The proof uses the specific structure of the system to be considered and is not a mere adaptation of scalar techniques; in particular the natural entropy of the system plays a crucial role in the analysisShow less >

Language :

Anglais

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Files

document
Open access
Access the document

GoVa_revised.pdf
Open access
Access the document

REGULARITY ANALYSIS FOR SYSTEMS OF ... BibTeX CSV Excel RIS

Files

REGULARITY ANALYSIS FOR SYSTEMS OF ...

BibTeX

CSV

Excel

RIS