Reaction-diffusion-convection problems in unbounded cylinders.

Rozenn Texier-Picard; Vitaly A. Volpert

Revista Matemática Complutense (2003)

  • Volume: 16, Issue: 1, page 233-276
  • ISSN: 1139-1138

Abstract

top
The work is devoted to reaction-diffusion-convection problems in unbounded cylinders. We study the Fredholm property and properness of the corresponding elliptic operators and define the topological degree. Together with analysis of the spectrum of the linearized operators it allows us to study bifurcations of solutions, to prove existence of convective waves, and to make some conclusions about their stability.

How to cite

top

Texier-Picard, Rozenn, and Volpert, Vitaly A.. "Reaction-diffusion-convection problems in unbounded cylinders.." Revista Matemática Complutense 16.1 (2003): 233-276. <http://eudml.org/doc/44499>.

@article{Texier2003,
abstract = {The work is devoted to reaction-diffusion-convection problems in unbounded cylinders. We study the Fredholm property and properness of the corresponding elliptic operators and define the topological degree. Together with analysis of the spectrum of the linearized operators it allows us to study bifurcations of solutions, to prove existence of convective waves, and to make some conclusions about their stability.},
author = {Texier-Picard, Rozenn, Volpert, Vitaly A.},
journal = {Revista Matemática Complutense},
keywords = {Ecuaciones de Navier-Stokes; Operadores elípticos; Operadores de Fredholm; Dominios no acotados; Problemas de valor de frontera; Ecuaciones de reacción-difusión; Convección; Teoría del grado; reaction-diffusion-convective equation; topological degree; convective fronts; stability},
language = {eng},
number = {1},
pages = {233-276},
title = {Reaction-diffusion-convection problems in unbounded cylinders.},
url = {http://eudml.org/doc/44499},
volume = {16},
year = {2003},
}

TY - JOUR
AU - Texier-Picard, Rozenn
AU - Volpert, Vitaly A.
TI - Reaction-diffusion-convection problems in unbounded cylinders.
JO - Revista Matemática Complutense
PY - 2003
VL - 16
IS - 1
SP - 233
EP - 276
AB - The work is devoted to reaction-diffusion-convection problems in unbounded cylinders. We study the Fredholm property and properness of the corresponding elliptic operators and define the topological degree. Together with analysis of the spectrum of the linearized operators it allows us to study bifurcations of solutions, to prove existence of convective waves, and to make some conclusions about their stability.
LA - eng
KW - Ecuaciones de Navier-Stokes; Operadores elípticos; Operadores de Fredholm; Dominios no acotados; Problemas de valor de frontera; Ecuaciones de reacción-difusión; Convección; Teoría del grado; reaction-diffusion-convective equation; topological degree; convective fronts; stability
UR - http://eudml.org/doc/44499
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.