Global solution to the ideal compressible heat conductive multipolar fluid
Jindřich Nečas, Antonín Novotný, Miroslav Šilhavý (1989)
Commentationes Mathematicae Universitatis Carolinae
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Jindřich Nečas, Antonín Novotný, Miroslav Šilhavý (1989)
Commentationes Mathematicae Universitatis Carolinae
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Josef Málek, Jindřich Nečas, Antonín Novotný (1992)
Czechoslovak Mathematical Journal
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Antonín Novotný (1996)
Commentationes Mathematicae Universitatis Carolinae
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We investigate the steady transport equation in various domains (bounded or unbounded) with smooth noncompact boundaries. The functions are supposed to be small in appropriate norms. The solution is studied in spaces of Sobolev type (classical Sobolev spaces, Sobolev spaces with weights, homogeneous Sobolev spaces, dual spaces to Sobolev spaces). The particular stress is put onto the problem to extend the results to as less regular vector fields , as possible (conserving the requirement...
Jiří Neustupa, Antonín Novotný (1991)
Applications of Mathematics
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The concept of regularization to the complete system of Navier-Stokes equations for viscous compressible heat conductive fluid is developed. The existence of weak solutions for the initial boundary value problem for the modified equations is proved. Some energy and etropy estimates independent of the parameter of regularization are derived.