TY - JOUR
AU - Sadybekov, M. A.
AU - Yergaliyev, M. G.
PY - 2018/12/28
Y2 - 2024/10/13
TI - On a boundary value problem for the nonhomogeneous heat equation in an angular domain
JF - Journal of Mathematics, Mechanics and Computer Science
JA - JMMCS
VL - 96
IS - 4
SE - Mathematics
DO -
UR - https://bm.kaznu.kz/index.php/kaznu/article/view/567
SP - 31-36
AB - <p>Due to the fact that the results find theoretical and practical applications, great attention is paid<br>to the study of boundary value problems for parabolic equations. Also the relevance of studying<br>such problems is justified by their physical application in the modeling of such processes as the<br>propagation of heat in homogeneous and nonhomogeneous media, the interaction of filtration<br>and channel flows, and other. Therefore, at the present stage of its development, the theory of<br>partial differential equations is one of the important branches of mathematics and is actively<br>developed by various mathematical schools. However, a number of significant problems in the<br>theory of partial differential equations remain, as before, unresolved. In the paper we study a<br>boundary value problem for the nonhomogeneous heat equation in an angular domain. Note that<br>the problem does not have the initial condition. It is caused by the form of the domain. We obtain<br>a boundary condition for the nonhomogeneous heat equation considered in the angular domain.<br>It is proven that the heat potential is a unique classical solution to this problem.</p>
ER -