PAROBOLIK TIPDAGI TENGLAMARNING KO‘P KOMPONENTALI MUHITDA FILTIRATSIYA JARAYONLARINI MODELLASHTIRISH VA SONLI YECHISH

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Abstract:

Parabolik tipdagi nochiziqli tenglamalar sistemasi uchun qo’yilgan Koshi masalasini ko’rib chiqamiz

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Fayzullayeva, Z., & Abdusattarov, A. (2023). PAROBOLIK TIPDAGI TENGLAMARNING KO‘P KOMPONENTALI MUHITDA FILTIRATSIYA JARAYONLARINI MODELLASHTIRISH VA SONLI YECHISH. Science and Innovation, 1(23), 91–94. Retrieved from https://in-academy.uz/index.php/si/article/view/21063

References:

Martynenko A.V., Tedeev A.F., On the behavior of solutions to the Cauchy problem for a degenerate parabolic equation with inhomogeneous density and a source, j. Computational Mathematics and Mathematical Physics 48, no. 7, 2008, 1145-1160.

Aripov M.M., Nigmanova D.B. FUJITA TYPE GLOBAL SOLVABILITY AND ASYMPTOTIC SELF-SIMILAR SOLUTION WITH DOUBLE NONLINEARITY. Contemporary mathematics and ITS aplications 25б

Тедеев А. Ф Условиya существованиya и не существованиya в целом по времени компактного носителya решений задачи коши длya квазилинейных вырождаyuщихсya параболических уравнений. Сибирский математический журнал, Том 45, No1, 2004, 189-200.

Mi, Y.S., Mu, C.L., and Chen, B.T., Critical exponents for a nonlinear degenerate parabol- ic system coupled via nonlinear boundary flux, J. Korean Math. Soc., 48(3), 2011, 513-527.

Raxmonov Z. “оценки решений нелинейной системқ уравнения теплопроводности с переменной плотностю и с нелокалным граничным условием ”, Uzmu xabarlari. Toshkent 2016, 145-155

Sadullayeva Sh. A. Решение типа зелдовича-баренблатта одной системы реакции-диффузии с двойной нелинейностю с переменной. Uzmu xabarlari. Toshkent 2016, 155-163

Aripov M. Asymptotics of the solution of the Non-Newton Politropic Filtration Equation. ZAMM. - Berlin, 2000. - Vol.80, suppl.3. – P.767–768.

Friedman A. and Mcleod J.B. Blow up of solutions of nonlinear degenerate parabolic equations. Archive for Rational Mechanics and Analysis. – 1986. - Volume 96, Issue 1. – P. 55–80.

Zhou W., Yao Z. Cauchy problem for a degenerate parabolic equation with non-divergence form. Acta Mathematica Scientia. – 2010. - 30B(5). – P. 1679–1686.

Wang M. Some degenerate and quasilinear parabolic systems not in divergence form. J. Math. Anal. Appl. - 274(2002). – P. 424–436.

Wang M., Wei Y. Blow-up properties for a degenerate parabolic system with nonlinear localized sources. J. Math. Anal. Appl.. - 343(2008). – P. 621–635

Zhi-wen Duan, Li Zhou. Global and Blow-Up Solutions for Nonlinear Degenerate Parabolic Systems with Crosswise-Diffusion. Journal of Mathematical Analysis and Applications. - 244(2000). – P. 263–278.