Continuous dependence for the pseudoparabolic equation.
Yaman, M., Gür, Ş. (2010)
Boundary Value Problems [electronic only]
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Yaman, M., Gür, Ş. (2010)
Boundary Value Problems [electronic only]
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Hans Lindblad (2000-2001)
Séminaire Équations aux dérivées partielles
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Shi, Yongdong, Du, Liangsheng (2001)
International Journal of Mathematics and Mathematical Sciences
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Franců, Jan (1998)
Abstract and Applied Analysis
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Miroslav Bulíček, Oldřich Ulrych (2011)
Applications of Mathematics
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We study the flow of an incompressible homogeneous fluid whose material coefficients depend on the temperature and the shear-rate. For large class of models we establish the existence of a suitable weak solution for two-dimensional flows of fluid in a bounded domain. The proof relies on the reconstruction of the globally integrable pressure, available due to considered Navier’s slip boundary conditions, and on the so-called -truncation method, used to obtain the strong convergence of...
Dmitrienko, V.T., Zvyagin, V.G. (1997)
Abstract and Applied Analysis
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Miroslav Bulíček, Roger Lewandowski, Josef Málek (2011)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, we establish the large-data and long-time existence of a suitable weak solution to an initial and boundary value problem driven by a system of partial differential equations consisting of the Navier-Stokes equations with the viscosity polynomially increasing with a scalar quantity that evolves according to an evolutionary convection diffusion equation with the right hand side that is merely -integrable over space and time. We also formulate a conjecture concerning...