Navier-stokes equations for compressible fluids: Global existence and qualitative properties of the solutions in the general case |
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Authors: | Alberto Valli Wojciech M. Zajaczkowski |
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Affiliation: | 1. Dipartimento di Matematica, Università di Trento, I-38050, Povo (Trento), Italy 2. Institute of Fundamental Technological Research, Polish Academy of Sciences, Swietokrzyska 21, PL-00-049, Warsaw, Poland
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Abstract: | We consider the equations which describe the motion of a viscous compressible fluid, taking into consideration the case of inflow and/or outflow through the boundary. By means of some a priori estimates we prove the existence of a global (in time) solution. Moreover, as a consequence of a stability result, we show that there exist a periodic solution and a stationary solution. |
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