Finite element approximation of the Navier-Stokes equation.
Boncuţ, Mioara (2004)
General Mathematics
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Boncuţ, Mioara (2004)
General Mathematics
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Bui Ton, Grzegorz Łukaszewicz (1992)
Banach Center Publications
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The existence of a weak solution of a non-stationary free boundary transmission problem arising in the production of industrial materials is established. The process is governed by a coupled system involving the Navier--Stokes equations and a non-linear heat equation. The stationary case was studied in [7].
Majid, Zanariah Abdul, Bin Suleiman, Mohamed, Omar, Zurni (2006)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Herceg, Dragoslav, Miloradović, Miroljub (2003)
Novi Sad Journal of Mathematics
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Radeka, Ivana, Herceg, Dragoslav (2003)
Novi Sad Journal of Mathematics
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Bouziani, A., Merazga, N. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Werner Varnhorn (1994)
Banach Center Publications
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We consider an implicit fractional step procedure for the time discretization of the non-stationary Stokes equations in smoothly bounded domains of ℝ³. We prove optimal convergence properties uniformly in time in a scale of Sobolev spaces, under a certain regularity of the solution. We develop a representation for the solution of the discretized equations in the form of potentials and the uniquely determined solution of some system of boundary integral equations. For the numerical computation...
W. M. Zajączkowski (1995)
Annales Polonici Mathematici
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We prove the local existence of solutions for equations of motion of a viscous compressible barotropic fluid in a domain bounded by a free surface. The solutions are shown to exist in exactly those function spaces where global solutions were found in our previous papers [14, 15].
Alekseev, G.V. (2001)
Sibirskij Matematicheskij Zhurnal
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Mosurski, Ryszard (2005)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Hua, Jun, Moseley, James L. (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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