The Effect of Domain Squeezing upon the Dynamics of Reaction-Diffusion Equations

By M. Prizzi, K. P. Rybakowski. 2001

104 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/5fa4590fbb5e31ef16264dfb918332cafb55eb84

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Alexandre Nolasco de Carvalho
2. José M. Arrieta
3. German Lozada-Cruz
4. Bixiang Wang
5. Chunyou Sun

In Computational Theory and Mathematics

1. Alexandre Nolasco de Carvalho
2. German Lozada-Cruz
3. José M. Arrieta
4. Bixiang Wang
5. S. Piskarev

In Control and Systems Engineering

1. Alexandre Nolasco de Carvalho
2. German Lozada-Cruz
3. José M. Arrieta
4. Bixiang Wang
5. Chunyou Sun
6. S. Piskarev

Citations in the corpus

• Spectral convergence and nonlinear dynamics of reaction–diffusion equations under perturbations of the domain (2004, methodology): “See also the work [27] for other type of thin domains.”
• Dynamics in dumbbell domains I. Continuity of the set of equilibria (2006, methodology): “Also, a similar technique to get the upper semicontinuity was used in [38] for the case of thin domains with “holes”.”
• Reaction-diffusion equations on unbounded thin domains (2001, background): “Domains of the form (1.2) are very special: in particular, they are not allowed to exibit holes or other horizontal branches.”