Mathematical properties of the Navier-Stokes dynamical system for incompressible Newtonian fluids
نویسندگان
چکیده
X iv :1 00 3. 29 99 v1 [ ph ys ic s. fl udy n] 1 5 M ar 2 01 0 Mathematical properties of the Navier-Stokes dynamical system for incompressible Newtonian fluids Massimo Tessarotto, Claudio Asci, Claudio Cremaschini, Alessandro Soranzo and Gino Tironi Department of Mathematics and Informatics, University of Trieste, Italy Consortium for Magneto-fluid-dynamics, University of Trieste, Italy International School for Advanced Studies, SISSA, Trieste, Italy INFN, Trieste Section, Trieste, Italy (Dated: March 16, 2010)
منابع مشابه
Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method
We study the retraction and pinch-off of a liquid filament and the formation of drops by using an energetic variational phase field model, which describes the motion of mixtures of two incompressible fluids. An efficient and accurate numerical scheme is presented and implemented for the coupled nonlinear systems of Navier–Stokes type linear momentum equations and volume preserving Allen–Cahn ty...
متن کاملA ug 2 00 9 Existence of proper weak solutions to the Navier - Stokes - Fourier system
The existence of proper weak solutions of the Dirichlet-Cauchy problem constituted by the Navier-Stokes-Fourier system which characterizes the incompressible homogeneous Newtonian fluids under thermal effects is studied. We call proper weak solutions such weak solutions that verify some local energy inequalities in analogy with the suitable weak solutions for the Navier-Stokes equations. Finall...
متن کاملExistence of Weak solutions for a Diffuse Interface Model for Viscous, Incompressible Fluids with General Densities
We study a diffuse interface model for the flow of two viscous incompressible Newtonian fluids in a bounded domain. The fluids are assumed to be macroscopically immiscible, but a partial mixing in a small interfacial region is assumed in the model. Moreover, diffusion of both components is taken into account. In contrast to previous works, we study the general case that the fluids have differen...
متن کاملA Survey of the Compressible Navier-stokes Equations
This paper presents mathematical properties of solutions to the Navier-Stokes equations for compressible fluids. We first review existence results for the Cauchy problem, and describe some regularity properties of solutions in the presence of possibly vanishing densities. Finally, we address the problem of the low Mach number limit leading to incompressible models.
متن کاملThe Energetic Implications of Using Deforming Reference Descriptions to Simulate the Motion of Incompressible, Newtonian Fluids
In this work the issue of whether key energetic properties (nonlinear, exponential– type dissipation in the absence of forcing and long–term stability under conditions of time dependent loading) are automatically inherited by deforming reference descriptions is resolved. These properties are intrinsic to real flows and the conventional Navier–Stokes equations. A completely general reference des...
متن کامل