On the Second Initial-boundary Value Problem for Parabolic Equation, Containing Mixed Derivatives

被引：0

作者：

V. Formalev

L. Rabinskiy

机构：

[1] Moscow Aviation Institute (National Research University),

来源：

Lobachevskii Journal of Mathematics | 2019年 / 40卷

关键词：

analytical solution; second initial-boundary problem; general anisotropic strip;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this work new analytical solution of the second initial-boundary value problem of the theory of thermal conductivity in a general anisotropic strip has been found considering that heat transfer characteristics are not scalar values but second symmetric tensors. The theorems about the existence and uniqueness of found solution have been proved.

引用

页码：964 / 968

页数：4

共 50 条

[1] On the Second Initial-boundary Value Problem for Parabolic Equation, Containing Mixed Derivatives
Formalev, V.
Rabinskiy, L.
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2019, 40 (07) : 964 - 968
[2] An initial-boundary value problem for an equation of the mixed parabolic-hyperbolic type with distributed delay
Zarubin, AN
DIFFERENTIAL EQUATIONS, 2000, 36 (10) : 1493 - 1497
[3] Initial-boundary value problem for an equation of mixed parabolic-hyperbolic type in a rectangular domain
Sabitov, K. B.
Rakhmanova, L. Kh.
DIFFERENTIAL EQUATIONS, 2008, 44 (09) : 1218 - 1224
[4] Initial-boundary value problem for an equation of mixed parabolic-hyperbolic type in a rectangular domain
K. B. Sabitov
L. Kh. Rakhmanova
Differential Equations, 2008, 44 : 1218 - 1224
[5] An initial-boundary value problem for an equation of the mixed parabolic-hyperbolic type with distributed delay
A. N. Zarubin
Differential Equations, 2000, 36 : 1493 - 1497
[6] THE INITIAL-BOUNDARY VALUE-PROBLEM FOR A NONLINEAR DEGENERATE PARABOLIC EQUATION
FUKUDA, I
TSUTSUMI, M
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1991, 16 (11) : 997 - 1009
[7] FIRST INITIAL-BOUNDARY VALUE-PROBLEM FOR A NONUNIFORM PARABOLIC EQUATION
FORD, WT
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1972, 40 (01) : 131 - &
[8] THE INITIAL-BOUNDARY VALUE PROBLEM FOR ONE QUASILINEAR PARABOLIC EQUATION WITH MEMORY
Isayeva, Sevda E.
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2010, 32 (40): : 111 - 118
[9] Mixed Initial-Boundary Value Problem for the Capillary Wave Equation
Campos, B. Juarez
Kaikina, Elena
Paredes, Hector F. Ruiz
ADVANCES IN MATHEMATICAL PHYSICS, 2016, 2016
[10] The Mixed Initial-Boundary Value Problem for Degenerate Hyperbolic Equation
Kakharman, Nurbek
EXTENDED ABSTRACTS MWCAPDE 2023, 2024, 1 : 145 - 150

← 1 2 3 4 5 →