ABOUT UNIQUENESS OF THE SOLUTION OF THE INITIAL AND REGIONAL PROBLEM OF PROCESS OF ACCUMULATION OF HEAT IN THE HEATUTILIZER
Abstract and keywords
Abstract (English):
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.

Keywords:
solution of the initial-boundary value problem, method of energy equalities and inequalities
Text

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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