Connections in scalar reaction diffusion equations with Neumann boundary conditions

Fiedler, Bernold; Brunovský, Pavol

Displaying similar documents to “Connections in scalar reaction diffusion equations with Neumann boundary conditions”

Heteroclinic connections of stationary solutions of scalar reaction-diffusion equations

P. Brunovský, B. Fiedler (1987)

Banach Center Publications

Similarity:

On the number of stationary patterns in reaction-diffusion systems

Rybář, Vojtěch, Vejchodský, Tomáš

Similarity:

We study systems of two nonlinear reaction-diffusion partial differential equations undergoing diffusion driven instability. Such systems may have spatially inhomogeneous stationary solutions called Turing patterns. These solutions are typically non-unique and it is not clear how many of them exists. Since there are no analytical results available, we look for the number of distinct stationary solutions numerically. As a typical example, we investigate the reaction-diffusion system designed...

Stabilization of solutions of a reaction-diffusion equation

Marek Fila (1987)

Banach Center Publications

Similarity:

Steady states for a fragmentation equation with size diffusion

Philippe Laurençot (2004)

Banach Center Publications

Similarity:

The existence of a one-parameter family of stationary solutions to a fragmentation equation with size diffusion is established. The proof combines a fixed point argument and compactness techniques.

Diffusion and cross-diffusion in pattern formation

Wei-Ming Ni (2004)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Similarity:

We discuss the stability and instability properties of steady state solutions to single equations, shadow systems, as well as $2 \times 2$ systems. Our basic observation is that the more complicated the pattern are, the more unstable they tend to be.

Mean transit time and mean residence time for linear diffusion-convection-reaction transport system.

Waniewski, Jacek (2007)

Computational & Mathematical Methods in Medicine

Similarity:

The resonance phenomenon in the reaction-diffusion systems.

Lobanov, A.I., Starozhilova, T.K., Chernyaev, A.P. (2001)

Discrete Dynamics in Nature and Society

Similarity:

Spatial localization for a general reaction-diffusion system

Gonzalo Galiano, Mark Adriaan Peletier (1998)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Similarity: