Traveling waves in media with diffusion

Bogdan Kaźmierczak. "Traveling waves in media with diffusion." Mathematica Applicanda 33.47/06 (2005): null. <http://eudml.org/doc/292646>.

@article{BogdanKaźmierczak2005,
abstract = {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.},
author = {Bogdan Kaźmierczak},
journal = {Mathematica Applicanda},
keywords = {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},
language = {eng},
number = {47/06},
pages = {null},
title = {Traveling waves in media with diffusion},
url = {http://eudml.org/doc/292646},
volume = {33},
year = {2005},
}

TY - JOUR
AU - Bogdan Kaźmierczak
TI - Traveling waves in media with diffusion
JO - Mathematica Applicanda
PY - 2005
VL - 33
IS - 47/06
SP - null
AB - 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.
LA - eng
KW - 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
UR - http://eudml.org/doc/292646
ER -