Self-similar solutions in reaction-diffusion systems
Banach Center Publications (2003)
- Volume: 60, Issue: 1, page 337-346
- ISSN: 0137-6934
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topJoanna 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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