no. 3
Existence of solutions for an elliptic-algebraic system describing heat explosion in a two-phase medium
ESAIM: Modélisation mathématique et analyse numérique, Tome 34 (2000) no. 3, pp. 555-573 
@article{M2AN_2000__34_3_555_0,
     author = {Barillon, Cristelle and Makhviladze, Georgy M. and Volpert, Vitaly A.},
     title = {Existence of solutions for an elliptic-algebraic system describing heat explosion in a two-phase medium},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
     pages = {555--573},
     year = {2000},
     publisher = {Dunod},
     volume = {34},
     number = {3},
     mrnumber = {1763525},
     zbl = {0971.76077},
     language = {en},
     url = {https://www.numdam.org/item/M2AN_2000__34_3_555_0/}
}
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: Modélisation mathématique et analyse numérique
PY  - 2000
SP  - 555
EP  - 573
VL  - 34
IS  - 3
PB  - Dunod
UR  - https://www.numdam.org/item/M2AN_2000__34_3_555_0/
LA  - en
ID  - M2AN_2000__34_3_555_0
ER  - 
%0 Journal Article
%A Barillon, Cristelle
%A Makhviladze, Georgy M.
%A Volpert, Vitaly A.
%T Existence of solutions for an elliptic-algebraic system describing heat explosion in a two-phase medium
%J ESAIM: Modélisation mathématique et analyse numérique
%D 2000
%P 555-573
%V 34
%N 3
%I Dunod
%U https://www.numdam.org/item/M2AN_2000__34_3_555_0/
%G en
%F M2AN_2000__34_3_555_0
Barillon, Cristelle; Makhviladze, Georgy M.; Volpert, Vitaly A. Existence of solutions for an elliptic-algebraic system describing heat explosion in a two-phase medium. ESAIM: Modélisation mathématique et analyse numérique, Tome 34 (2000) no. 3, pp. 555-573. https://www.numdam.org/item/M2AN_2000__34_3_555_0/

[1] E. V. Chernenko and V. I. Rozenband, Calculation of the extremal combustion characteristics of aerial suspensions of metal with autoignition. Combustion, Explosion and Shock Waves 16 (1980) 3-10.

[2] I. G. Dik and A. Yu. Krainov, Ignition regims of a gas suspension in a vessel with heated walls. Combustion, Explosion, and Shock Waves 20 (1984) 58-61.

[3] W. H. Fleming and R. Rishel, An integral formula for total gradient variation. Arch. Math. 11 (1960) 218-222. | Zbl | MR

[4] T. Gallouet, F. Mignot and J.-P. Puel, Quelques résultats sur le problème - Δu = λeu. C. R. Acad. Sci. Paris Sér. I 307 (1988) 289-292. | Zbl | MR

[5] Y. Giga, R. Kohn, Nondegeneracy of blowup for semilinear heat equations. Comm. Pure Appl. Math. XLII (1989) 845-884. | Zbl | MR

[6] M. A. Gurevich, G. E. Ozerova and A. M. Stepanov, Ignition limit of a monofractional gas suspension. Combustion, Explosion, and Shock Waves 10 (1974) 88-93.

[7] N. V. Krylov, Lectures on elliptic and parabolic equations in Holder spaces, AMS, Graduate studies in Mathematics (1996). | Zbl | MR

[8] V. I. Lisitsyn, E. N. Rumanov and B. I. Khaikin, Induction period in the ignition of a particle System. Combustion Explosion, and Shock Waves 1 (1971) 1-6.

[9] N. Mizogushi and T. Suzuki, Equations of gas combustion: S-shaped bifurcations and mushrooms. J. Differential Equations 134 (1997) 183-205. | Zbl | MR

[10] R. E. O'Malley and L. V. Kalachev, Regularization of nonlinear differential-algebraic equations. SIAM J. Math. Anal. 25 (1994) 615-629. | Zbl | MR

[11] E. N. Rumanov and B. I. Khaikin, Critical autoignition conditions for a System of particles. Combustion, Explosion, and Shock Waves 5 (1969) 129-136.

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

[13] A. I. Volpert, S. Hudjaev, Analysis in classes of discontinuons functions and equations of mathematical physics, Martinus Nijhoff Pubhshers, Dordrecht (1985). | Zbl | MR

[14] Ya. B. Zeldovich, G. I. Barenblatt, V. B. Librovich and G. M. Makhviladze, The mathematical theory of combustion and explosion. Plenum Press, New York-London (1985). | MR