Heat Convection Equation with Nonhomogeneous Boundary Condition

Author:

Morimoto Hiroko1

Affiliation:

1. Meiji University

Publisher

Division of Functional Equations, The Mathematical Society of Japan (JST)

Subject

Geometry and Topology,Algebra and Number Theory,Analysis

Reference19 articles.

1. [1] Amick, C. J., Existence of solutions to the nonhomogeneous steady Navier-Stokes equations, Indiana Univ. Math. J., 33 (1984), 817-830.

2. [2] Hopf, E., Ein allgemeiner Endlichkeitssatz der Hydrodynamik, Math. Ann., 117 (1941), 764-775.

3. [3] Hopf, E., On nonlinear partial differential equations, Lecture series of the symposium on partial differential equations, Univ. Kansas (1957) pp. 1-31.

4. [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. [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.

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