Traveling waves in media with diffusion

• Autorzy: Bogdan Kaźmierczak
• Języki publikacji: EN

Abstrakty

EN

In this paper, we discuss traveling wave solutions for equations that model nonlinear media with diffusion. Such solutions can also describe, for example, the propagation of heteroclinic fronts or impulses (medium excitations). We present several examples of processes in which the notion of a traveling wave captures the essence of the analytical phenomena, including plasma sustained by a laser beam, phase transitions in van der Waals fluids, skin morphogenesis, and the DNA-RNA transcription process.

Słowa kluczowe

EN

Reaction-diffusion equations, Boundary value problems for parabolic systems,Index theory, Morse-Conley indices, Homoclinic and heteroclinic orbits, Ionized gas flow in electromagnetic fields; plasmic flow, Physiological flow

• Wydawca: Polish Mathematical Society
• Czasopismo: Mathematica Applicanda
• Rocznik: 2005
• Tom: 33
• Numer: 47/06

Daty

wydano

2005

online

2016-07-28

Twórcy

autor

Bogdan Kaźmierczak

Identyfikatory

DOI

10.14708/ma.v33i47/06.1350