The Cauchy Problem for a Doubly Nonlinear Parabolic Equation with Variable Density and Nonlinear Time-Dependent Absorption

被引：0

作者：

Aripov M. ^{[1
]}

Bobokandov M. ^{[1
]}

机构：

[1] Mirzo Ulugbek National University of Uzbekistan, 4, University St., Tashkent

来源：

Journal of Mathematical Sciences | 2023年 / 277卷 / 3期

关键词：

D O I：

10.1007/s10958-023-06840-0

中图分类号：

学科分类号：

摘要：

Based on a self-similar analysis of the Fujita type global solvability, we obtain estimates for a solution and fronts (a free boundary) of the Cauchy problem for a doubly nonlinear nondivergence-form parabolic equation with variable density. We consider the case where the absorpiton depends on time and study the asymptotic behavior of the finite self-similar solution depending on numerical parameters characterizing a nonlinear medium. The main results are illustrated by numerical examples. © 2023, Springer Nature Switzerland AG.

引用

页码：355 / 365

页数：10

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