## Abstract This paper studies the existence of weak solutions of the NavierβStokes system defined on a certain class of domains in β^3^ that may contain cusps. The concept of such a domain and weak energy solution for the system is defined and its existence is proved. However, thinness of cusps mu
On the Finite Energy Weak Solutions to a System in Quantum Fluid Dynamics
β Scribed by Paolo Antonelli; Pierangelo Marcati
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 418 KB
- Volume
- 287
- Category
- Article
- ISSN
- 0010-3616
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π SIMILAR VOLUMES
In this paper, we are concerned with a simplified hydrodynamic equation, proposed by Ericksen and Leslie, modeling the flow of nematic liquid crystals. For a bounded domain in R 3 , under the assumption that initial density belongs to L c (X), c > 3 2 , we show the global existence of weak solutions
In [A. JΓΌngel, Global weak solutions to compressible Navier-Stokes equations for quantum fluids, SIAM J. Math. Anal. 42 (2010) 1025-1045], JΓΌngel proved the global existence of the barotropic compressible quantum Navier-Stokes equations for when the viscosity constant is bigger than the scaled Planc