Global solutions of the Cauchy problem for a viscous polytropic ideal gas
Song Jiang (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Song Jiang (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Takayuki Kobayashi, Wojciech Zajączkowski (1999)
Applicationes Mathematicae
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Global-in-time existence of solutions for equations of viscous compressible barotropic fluid in a bounded domain Ω ⊂ with the boundary slip condition is proved. The solution is close to an equilibrium solution. The proof is based on the energy method. Moreover, in the -approach the result is sharp (the regularity of the solution cannot be decreased) because the velocity belongs to and the density belongs to , α ∈ (1/2,1).
Piotr Mucha, Wojciech Zajączkowski (2000)
Applicationes Mathematicae
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The local-in-time existence of solutions of the free boundary problem for an incompressible viscous self-gravitating fluid motion is proved. We show the existence of solutions with lowest possible regularity for this problem such that with r>3. The existence is proved by the method of successive approximations where the solvability of the Cauchy-Neumann problem for the Stokes system is applied. We have to underline that in the -approach the Lagrangian coordinates must be used....
Ewa Zadrzyńska, Wojciech Zajączkowski (1999)
Colloquium Mathematicae
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Enrique Fernández-Cara, Francisco Guillén, Rubens R. Ortega (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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M. Bulíček, Josef Málek, Kumbakonam R. Rajagopal (2009)
Czechoslovak Mathematical Journal
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Over a large range of the pressure, one cannot ignore the fact that the viscosity grows significantly (even exponentially) with increasing pressure. This paper concerns long-time and large-data existence results for a generalization of the Navier-Stokes fluid whose viscosity depends on the shear rate and the pressure. The novelty of this result stems from the fact that we allow the viscosity to be an unbounded function of pressure as it becomes infinite. In order to include a large class...
L. Miguel Rodrigues (2009)
Annales de l'I.H.P. Analyse non linéaire
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