On the collapsing of the solutions of the hydrodynamic type with a singular source
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 8, pp. 1523-1535 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_2012_52_8_a12,
     author = {E. V. Yushkov},
     title = {On the collapsing of the solutions of the hydrodynamic type with a~singular source},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1523--1535},
     year = {2012},
     volume = {52},
     number = {8},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_8_a12/}
}
TY  - JOUR
AU  - E. V. Yushkov
TI  - On the collapsing of the solutions of the hydrodynamic type with a singular source
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2012
SP  - 1523
EP  - 1535
VL  - 52
IS  - 8
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_8_a12/
LA  - ru
ID  - ZVMMF_2012_52_8_a12
ER  - 
%0 Journal Article
%A E. V. Yushkov
%T On the collapsing of the solutions of the hydrodynamic type with a singular source
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2012
%P 1523-1535
%V 52
%N 8
%U http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_8_a12/
%G ru
%F ZVMMF_2012_52_8_a12
E. V. Yushkov. On the collapsing of the solutions of the hydrodynamic type with a singular source. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 8, pp. 1523-1535. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_8_a12/

[1] Oskolkov A. P., “O edinstvennosti i globalnoi razreshimosti pervoi kraevoi zadachi dlya sistemy uravnenii, opisyvayuschikh dvizhenie vodnykh rastvorov polimerov”, Tr. Leningradskogo korablestr. in-ta, 80, 1972, 44–48

[2] Pavlovskii V. A., “K voprosu o teoreticheskom opisanii slabykh vodnykh resursov polimerov”, Dokl. AN SSSR, 200:4 (1971), 809–812

[3] Yushkov E. V., “Issledovanie suschestvovaniya i razrusheniya odnogo uravneniya psevdoparabolicheskogo tipa”, Differents. ur-niya, 47:2 (2011), 291–295 | MR | Zbl

[4] Korpusov M. O., Sveshnikov A. G., “O razrushenii resheniya sistemy uravnenii Oskolkova”, Matem. sb., 200:4 (2009), 83–108 | DOI | MR | Zbl

[5] Mitidieri E. L., Pokhozhaev S. I., “Apriornye otsenki i otsutstvie reshenii nelineinykh uravnenii i neravenstv v chastnykh proizvodnykh”, Tr. MIAN, 234, 2001, 3–383 | MR

[6] Galakhov E. I., O razrushenii reshenii nelineinykh singulyarnykh uravnenii v chastnykh proizvodnykh, Diss. ... dokt. fiz.-mat. nauk, M., 2010

[7] Landau L. D., Lifshits E. M., Gidrodinamika, Nauka, M., 2006 | MR

[8] Sveshnikov A. G., Alshin A. B., Korpusov M. O., Nelineinyi funktsionalnyi analiz i ego prilozheniya k uravneniyam v chastnykh proizvodnykh, Nauchnyi mir, M., 2008

[9] Sveshnikov A. G., Alshin A. B., Korpusov M. O., Pletner Yu. D., Lineinye i nelineinye uravneniya sobolevskogo tipa, Fizmatlit, M., 2007

[10] Oskolkov A. P., “O nekotorykh nestatsionarnykh lineinykh i kvazilineinykh sistemakh, vstrechayuschikhsya pri izuchenii dvizheniya vyazkikh zhidkostei”, Zap. nauchn. sem. LOMI, 59, 1976, 133–177 | MR | Zbl

[11] Levine H. A., “Some nonexistence and instability theorems for solutions of formally parabolic equations of the form $Pu_t=-Au+F(u)$”, Arch. Rational. Mech. Analys., 51 (1973), 371–386 | MR | Zbl

[12] Petrovskii I. G., Lektsii po teorii obyknovennykh differentsialnykh uravnenii, Nauka, M., 1970 | MR

[13] Kalantarov V. K., Ladyzhenskaya O. A., “Formirovanie kollapsov v kvazilineinykh uravneniyakh parabolicheskogo i giperbolicheskogo tipov”, Zap. nauchn. sem. LOMI, 69, 1977, 77–102 | MR | Zbl