About uniqueness of the solution of the initial and regional problem of process of accumulation of heat in the heatutilizer

Published в Actual directions of scientific researches of the XXI century: theory and practice · Volume 2, Issue 4, p. 2, 2014 · Pages 346–349 · Rubrics: Section: Related developments in applied and engineering and financial mathematics
DOI 10.12737/5182
Received: 29.08.2014 Accepted: 07.10.2014 Published: 07.10.2014 Language of publication: RUS
In this paper is proved of uniqueness solution of the initial boundary value problem for a system of linear partial differential equations of first and second order with two unknown functions that depend on the time variable and the spatial variable, changing on a finite segment. The considered boundary value problem is the mathematical model of heat accumulation in heat exchanger.
solution of the initial-boundary value problem method of energy equalities and inequalities

В настоящей работе исследуется вопрос о единственности решения следующей начально-краевой задачи.

References

1. Vasil´ev V.A. Metody rascheta teplovykh protsessov v statsionarnom pereklyuchayushchemsya regenerativnom teploutilizatore. Dissertatsiya na soiskanie uchenoy stepeni kandidata tekhnicheskikh nauk, Sankt-Peterburg, 2010. - 136 s.

2. Oleynik O.A. Lektsii ob uravneniyakh s chastnymi proizvodnymi. - M.: BINOM, 2005. - 260 s.

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