Well-Posedness of a Diffuse Interface model for Hele-Shaw Flows
نویسندگان
چکیده
منابع مشابه
Well-posedness of the Hele-Shaw-Cahn-Hilliard system
We study the well-posedness of the Hele-Shaw-Cahn-Hilliard system modeling binary fluid flow in porous media with arbitrary viscosity contrast but matched density between the components. Well-posedness that is global in time in the two dimensional case and local in time in the three dimensional case are established. Several blow-up criterions in the three dimensional case are provided as well.
متن کاملA diffuse-interface model for electrowetting drops in a Hele-Shaw cell
Electrowetting has recently been explored as a mechanism for moving small amounts of fluids in confined spaces. We propose a diffuse interface model for drop motion, due to electrowetting, in a Hele-Shaw geometry. In the limit of small interface thickness, asymptotic analysis shows the model is equivalent to Hele-Shaw flow with a voltagemodified Young-Laplace boundary condition on the free surf...
متن کاملNew bounds for stabilizing Hele-Shaw flows
We consider the problem of displacement processes in a three-layer fluid in a Hele-Shaw cell modeling enhanced oil recovery processes by polymer flooding. The middle layer sandwiched between water and oil contains polymer-thickened-water. We provide lower bounds on the length of the intermediate layer and on the amount of polymer in the middle layer for stabilizing the leading front to a specif...
متن کاملStrong Well-posedness of a Diffuse Interface Model for a Viscous, Quasi-incompressible Two-phase Flow
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 a model for the general case that the fluids h...
متن کاملA moving boundary problem for periodic Stokesian Hele–Shaw flows
This paper is concerned with the motion of an incompressible, viscous fluid in a Hele–Shaw cell. The free surface is moving under the influence of gravity and the fluid is modelled using a modified Darcy law for Stokesian fluids. We combine results from the theory of quasilinear elliptic equations, analytic semigroups and Fourier multipliers to prove existence of a unique classical solution to ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Fluid Mechanics
سال: 2019
ISSN: 1422-6928,1422-6952
DOI: 10.1007/s00021-019-0467-9