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Spectral method for solving two-dimensional Newton-Boussinesq equations. (English) Zbl 0681.76048
Summary: The spectral method for solving two-dimensional Newton-Boussinesq equations has been proposed. The existence and uniqueness of global generalized solution for this equation, and the error estimates and convergence of approximate solutions also have been obtained.

MSC:
76D99 Incompressible viscous fluids
35Q99 Partial differential equations of mathematical physics and other areas of application
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[1] M. Dubois and P. Berge., Synergetics (workship 11), 1979.
[2] A. Libchaber and J. Maurer., A rayleigh BĂ©nard Experiment: Helium in a small box, Nonlinear Phenomena at Phase Transitions and Instabilities, ed. T. Riste, 1982, 259–286.
[3] M. J. Feigenbaum., The onset Spectrum of Turbulence,Phys. Lett., A,74 (1979), 375–378. · doi:10.1016/0375-9601(79)90227-5
[4] Chen Shi-gang, Symmetriy Analysis of Convect on Patterns.,Comm. Theor. Phys.,1 (1982), 413–426.
[5] A. Friedman., Partial Differential Equations, Holt Rinehart, and Winston, 1969. · Zbl 0224.35002
[6] C. Canuto and A. Quarteroni. Approximation Results for Orthogonal Polynomials in Sobolev Spaces,Math. Comp.,38 (1982), 67–86. · Zbl 0567.41008 · doi:10.1090/S0025-5718-1982-0637287-3
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