On some parabolic-elliptic system with self-similar pressure term

Robert Stańczy

Banach Center Publications (2006)

  • Volume: 74, Issue: 1, page 205-215
  • ISSN: 0137-6934

Abstract

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A priori estimates for solutions of a system describing the interaction of gravitationally attracting particles with a self-similar pressure term are proved. The presented theory covers the case of the model with diffusions that obey either Fermi-Dirac statistics or a polytropic one.

How to cite

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Robert Stańczy. "On some parabolic-elliptic system with self-similar pressure term." Banach Center Publications 74.1 (2006): 205-215. <http://eudml.org/doc/281611>.

@article{RobertStańczy2006,
abstract = {A priori estimates for solutions of a system describing the interaction of gravitationally attracting particles with a self-similar pressure term are proved. The presented theory covers the case of the model with diffusions that obey either Fermi-Dirac statistics or a polytropic one.},
author = {Robert Stańczy},
journal = {Banach Center Publications},
keywords = {Chavanis-Sommeria-Robert model; Fermi-Dirac statistics; polytropic stars; nonlinear nonlocal parabolic-elliptic system; self-gravitating particles; a priori estimates},
language = {eng},
number = {1},
pages = {205-215},
title = {On some parabolic-elliptic system with self-similar pressure term},
url = {http://eudml.org/doc/281611},
volume = {74},
year = {2006},
}

TY - JOUR
AU - Robert Stańczy
TI - On some parabolic-elliptic system with self-similar pressure term
JO - Banach Center Publications
PY - 2006
VL - 74
IS - 1
SP - 205
EP - 215
AB - A priori estimates for solutions of a system describing the interaction of gravitationally attracting particles with a self-similar pressure term are proved. The presented theory covers the case of the model with diffusions that obey either Fermi-Dirac statistics or a polytropic one.
LA - eng
KW - Chavanis-Sommeria-Robert model; Fermi-Dirac statistics; polytropic stars; nonlinear nonlocal parabolic-elliptic system; self-gravitating particles; a priori estimates
UR - http://eudml.org/doc/281611
ER -

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