Geodesic
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 
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/
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Voir la notice de l'article provenant de la source Math-Net.Ru

[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