Self-similar solutions in reaction-diffusion systems

Joanna Rencławowicz

Banach Center Publications (2003)

  • Volume: 60, Issue: 1, page 337-346
  • ISSN: 0137-6934

Abstract

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In this paper we examine self-similar solutions to the system u i t - d i Δ u i = k = 1 m u k p k i , i = 1,…,m, x N , t > 0, u i ( 0 , x ) = u 0 i ( x ) , i = 1,…,m, x N , where m > 1 and p k i > 0 , to describe asymptotics near the blow up point.

How to cite

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Joanna Rencławowicz. "Self-similar solutions in reaction-diffusion systems." Banach Center Publications 60.1 (2003): 337-346. <http://eudml.org/doc/282135>.

@article{JoannaRencławowicz2003,
abstract = {In this paper we examine self-similar solutions to the system $u_\{it\} - d_\{i\}Δu_\{i\} = ∏_\{k=1\}^\{m\} u^\{p^\{i\}_\{k\}\}_\{k\}$, i = 1,…,m, $x ∈ ℝ^\{N\}$, t > 0, $u_\{i\}(0,x) = u_\{0i\}(x)$, i = 1,…,m, $x ∈ ℝ^\{N\}$, where m > 1 and $p^\{i\}_\{k\} > 0$, to describe asymptotics near the blow up point.},
author = {Joanna Rencławowicz},
journal = {Banach Center Publications},
keywords = {asymptotics near the blow up point},
language = {eng},
number = {1},
pages = {337-346},
title = {Self-similar solutions in reaction-diffusion systems},
url = {http://eudml.org/doc/282135},
volume = {60},
year = {2003},
}

TY - JOUR
AU - Joanna Rencławowicz
TI - Self-similar solutions in reaction-diffusion systems
JO - Banach Center Publications
PY - 2003
VL - 60
IS - 1
SP - 337
EP - 346
AB - In this paper we examine self-similar solutions to the system $u_{it} - d_{i}Δu_{i} = ∏_{k=1}^{m} u^{p^{i}_{k}}_{k}$, i = 1,…,m, $x ∈ ℝ^{N}$, t > 0, $u_{i}(0,x) = u_{0i}(x)$, i = 1,…,m, $x ∈ ℝ^{N}$, where m > 1 and $p^{i}_{k} > 0$, to describe asymptotics near the blow up point.
LA - eng
KW - asymptotics near the blow up point
UR - http://eudml.org/doc/282135
ER -

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