Existence of solutions for an elliptic-algebraic system describing heat explosion in a two-phase medium

Cristelle Barillon; Georgy M. Makhviladze; Vitaly A. Volpert

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (2000)

  • Volume: 34, Issue: 3, page 555-573
  • ISSN: 0764-583X

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Barillon, Cristelle, Makhviladze, Georgy M., and Volpert, Vitaly A.. "Existence of solutions for an elliptic-algebraic system describing heat explosion in a two-phase medium." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 34.3 (2000): 555-573. <http://eudml.org/doc/194002>.

@article{Barillon2000,
author = {Barillon, Cristelle, Makhviladze, Georgy M., Volpert, Vitaly A.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {classical solution; critical solution; multivalued solution; two-phase medium; star-shaped domain; heat explosion; reacting particles; elliptic-algebraic system of equations; conditions for existence of solutions},
language = {eng},
number = {3},
pages = {555-573},
publisher = {Dunod},
title = {Existence of solutions for an elliptic-algebraic system describing heat explosion in a two-phase medium},
url = {http://eudml.org/doc/194002},
volume = {34},
year = {2000},
}

TY - JOUR
AU - Barillon, Cristelle
AU - Makhviladze, Georgy M.
AU - Volpert, Vitaly A.
TI - Existence of solutions for an elliptic-algebraic system describing heat explosion in a two-phase medium
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 2000
PB - Dunod
VL - 34
IS - 3
SP - 555
EP - 573
LA - eng
KW - classical solution; critical solution; multivalued solution; two-phase medium; star-shaped domain; heat explosion; reacting particles; elliptic-algebraic system of equations; conditions for existence of solutions
UR - http://eudml.org/doc/194002
ER -

References

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  12. [12] A. I. Volpert, The spaces BV and quasilinear equations. Math USSR - Sbornik 2 (1967) 225-267. Zbl0168.07402MR216338
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