Art

J-GLOBAL ID：201002220905406402   Reference number：10A1383939

Heat Convection Equation with Nonhomogeneous Boundary Condition

非斉次境界条件のもとでの熱対流方程式

Author (1)： MORIMOTO Hiroko (Meiji Univ., JPN)
Material： Funkcialaj Ekvacioj. International Series  (Funkcialaj Ekvacioj)
Volume： 53  Issue： 2  Page： 213-229  Publication year： Aug. 2010 
JST Material Number： L4931A  ISSN： 0532-8721  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： Boussinesq equation ,  boundary condition ,  *thermal convection ,  equation of heat conduction ,  time dependence ,  periodic solution
Semi thesaurus term： *非斉次境界条件 ,  *熱対流方程式 ,  一般流出条件 ,  Boussinesq approximation

JST classification (1)： Convective and radiative heat transfer  (PA02030K)

Reference (19)：

• [1] Amick, C. J., Existence of solutions to the nonhomogeneous steady Navier-Stokes equations, Indiana Univ. Math. J., 33 (1984), 817-830.
• [2] Hopf, E., Ein allgemeiner Endlichkeitssatz der Hydrodynamik, Math. Ann., 117 (1941), 764-775.
• [3] Hopf, E., On nonlinear partial differential equations, Lecture series of the symposium on partial differential equations, Univ. Kansas (1957) pp. 1-31.
• [4] Fujita, H., On the existence and regularity of the steady-state solutions of the Navier-Stokes equation, J. Fac. Sci. Univ. Tokyo Sect. I, 9 (1961), 59-102.
• [5] Fujita, H., On stationary solutions to Navier-Stokes equations in symmetric plane domains under general out-flow condition, Proceedings of International Conference on Navier-Stokes Equations, Theory and Numerical Methods, June 1997, Varenna Italy, Pitman Reseach Notes in Mathematics, 388, pp. 16-30.

Terms in the title (3)： 境界条件 ,  熱対流 ,  方程式