English

Structures and waves in a nonlinear heat-conducting medium

Numerical Analysis 2013-01-21 v1 Adaptation and Self-Organizing Systems

Abstract

The paper is an overview of the main contributions of a Bulgarian team of researchers to the problem of finding the possible structures and waves in the open nonlinear heat conducting medium, described by a reaction-diffusion equation. Being posed and actively worked out by the Russian school of A. A. Samarskii and S.P. Kurdyumov since the seventies of the last century, this problem still contains open and challenging questions.

Cite

@article{arxiv.1301.4331,
  title  = {Structures and waves in a nonlinear heat-conducting medium},
  author = {Stefka Dimova and Milena Dimova and Daniela Vasileva},
  journal= {arXiv preprint arXiv:1301.4331},
  year   = {2013}
}

Comments

23 pages, 13 figures, the final publication will appear in Springer Proceedings in Mathematics and Statistics, Numerical Methods for PDEs: Theory, Algorithms and their Applications

R2 v1 2026-06-21T23:11:40.639Z