On the existence of stationary solutions to compressible Navier-Stokes equations
Alberto Valli (1987)
Annales de l'I.H.P. Analyse non linéaire
Similarity:
Alberto Valli (1987)
Annales de l'I.H.P. Analyse non linéaire
Similarity:
Tomasz Roliński (1995)
Annales Polonici Mathematici
Similarity:
We investigate the behaviour of the meniscus of a drop of liquid aluminium in the neighbourhood of a state of equilibrium under the influence of weak electromagnetic forces. The mathematical model comprises both Maxwell and Navier-Stokes equations in 2D. The meniscus is governed by the Young-Laplace equation, the data being the jump of the normal stress. To show the existence and uniqueness of the solution we use the classical implicit function theorem. Moreover, the differentiability...
Ewa Zadrzyńska (2005)
Banach Center Publications
Similarity:
In this survey we report on existence results for some free boundary problems for equations describing motions of both incompressible and compressible viscous fluids. We also present ways of controlling free boundaries in two cases: a) when the free boundary is governed by surface tension, b) when surface tension does not occur.
Ewa Zadrzyńska
Similarity:
The results concerning free boundary problems for both incompressible and compressible Navier-Stokes equations are reviewed in this paper.
V. Solonnikov (1983)
Banach Center Publications
Similarity:
John G. Heywood (1979)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
Simina Bodea (2006)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
We consider a free boundary value problem for a viscous, incompressible fluid contained in an uncovered three-dimensional rectangular channel, with gravity and surface tension, governed by the Navier-Stokes equations. We obtain existence results for the linear and nonlinear time-dependent problem. We analyse the qualitative behavior of the flow using tools of bifurcation theory. The main result is a Hopf bifurcation theorem with -symmetry.
Paolo Secchi (1992)
Annales de l'I.H.P. Analyse non linéaire
Similarity: