Theory of unique existence of the solution for one model problem of mechanics
UDC
532.526.5Abstract
The work is aimed at proving the unique existence of the problem $u_t^i + (H_{u^i})x = \nu u_{xx}^i$, $\nu > 0$ on the segment $[0,l]$ with initial and boundary conditions of the following type: $u_t^i(0,t) = u^i(l,t) = 0$, $u^i(x,0) = \varphi^i(x)$.
Acknowledgement
References
- Куликовский А.Г., Погорелов Н.В., Семенов А.Ю. Математические вопросы численного решения гиперболических систем уравнений. М., 2001.
- Ладыженская О.А. Математические вопросы динамики вязкой несжимаемой жидкости. М., 1970.
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Copyright (c) 2004 Morozov N.F., Osmolovsky V.G.
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