Two-dimensional Keller-Segel model: Optimal critical mass and qualitative properties of the solutions.

Blanchet, Adrien; Dolbeault, Jean; Perthame, Benoit

Electronic Journal of Differential Equations (EJDE) [electronic only] (2006)

  • Volume: 2006, page Paper No. 44, 33 p., electronic only-Paper No. 44, 33 p., electronic only
  • ISSN: 1072-6691

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Blanchet, Adrien, Dolbeault, Jean, and Perthame, Benoit. "Two-dimensional Keller-Segel model: Optimal critical mass and qualitative properties of the solutions.." Electronic Journal of Differential Equations (EJDE) [electronic only] 2006 (2006): Paper No. 44, 33 p., electronic only-Paper No. 44, 33 p., electronic only. <http://eudml.org/doc/127363>.

@article{Blanchet2006,
author = {Blanchet, Adrien, Dolbeault, Jean, Perthame, Benoit},
journal = {Electronic Journal of Differential Equations (EJDE) [electronic only]},
keywords = {existence; weak solutions; free energy; entropy method; logarithmic Hardy-Littlewood-Sobolev inequality; Aubin-Lions compactness method; hypercontractivity; time-dependent rescaling; self-similar variables; intermediate asymptotics; elliptic-parabolic system},
language = {eng},
pages = {Paper No. 44, 33 p., electronic only-Paper No. 44, 33 p., electronic only},
publisher = {Southwest Texas State University, Department of Mathematics, San Marcos, TX; North Texas State University, Department of Mathematics, Denton},
title = {Two-dimensional Keller-Segel model: Optimal critical mass and qualitative properties of the solutions.},
url = {http://eudml.org/doc/127363},
volume = {2006},
year = {2006},
}

TY - JOUR
AU - Blanchet, Adrien
AU - Dolbeault, Jean
AU - Perthame, Benoit
TI - Two-dimensional Keller-Segel model: Optimal critical mass and qualitative properties of the solutions.
JO - Electronic Journal of Differential Equations (EJDE) [electronic only]
PY - 2006
PB - Southwest Texas State University, Department of Mathematics, San Marcos, TX; North Texas State University, Department of Mathematics, Denton
VL - 2006
SP - Paper No. 44, 33 p., electronic only
EP - Paper No. 44, 33 p., electronic only
LA - eng
KW - existence; weak solutions; free energy; entropy method; logarithmic Hardy-Littlewood-Sobolev inequality; Aubin-Lions compactness method; hypercontractivity; time-dependent rescaling; self-similar variables; intermediate asymptotics; elliptic-parabolic system
UR - http://eudml.org/doc/127363
ER -

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