On the stationary motion of compressible viscous fluids
Paolo Secchi (1994)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
Paolo Secchi (1994)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
Song Jiang (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
Piotr Mucha, Wojciech Zajączkowski (2000)
Studia Mathematica
Similarity:
The existence for the Cauchy-Neumann problem for the Stokes system in a bounded domain is proved in a class such that the velocity belongs to , where r > 3. The proof is divided into three steps. First, the existence of solutions is proved in a half-space for vanishing initial data by applying the Marcinkiewicz multiplier theorem. Next, we prove the existence of weak solutions in a bounded domain and then we regularize them. Finally, the problem with nonvanishing initial data is...
Michal Křížek, Pekka Neittaanmäki (1985)
Aplikace matematiky
Similarity:
A system of first order partial differential equations is studied which is defined by the divergence and rotation operators in a bounded nonsmooth domain . On the boundary , the vanishing normal component is prescribed. A variational formulation is given and its solvability is investigated.
Paolo Secchi (1984)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
Takayuki Kobayashi, Wojciech Zajączkowski (1999)
Applicationes Mathematicae
Similarity:
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).
Ewa Zadrzyńska, Wojciech Zajączkowski (1999)
Colloquium Mathematicae
Similarity: