THE DIFFUSION EQUATION IN NON-HOMOGENEOUS MEDIUM WITH TIME DEPENDENCY

Mama B.O.

Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi · 2022-yil

Annotatsiya

The property of a finite speed of a perturbation distribution to the Cauchy problem for non-divergence form of the parabolic equation based on comparison method and asymptotic behavior of a self-similar solution is achieved. Defined the conditions for the availability of blow-ups and global solutions to a given problem using Hopf’s maximum principle for the parabolic equation in non-homogeneous medium not in divergence form. The resulting asymptotics has been used as an initial approximation and numerical solutions have been calculated.

Maqola ma’lumotlari
MualliflarMama B.O.
JurnalSamarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi
Nashr sanasi2022-06-25
Jild5
Son135/1
Betlar1-12
Tilen
DOI10.59251/2181-1296.v5.1351.1108

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