Long-time asymptotics of Hele–Shaw flow for perturbed balls with injection and suction
نویسندگان
چکیده
منابع مشابه
Large-time asymptotics of Stokes flow for perturbed balls with injection and suction
We discuss large-time behaviour of Stokes flow with surface tension and with injection or suction in one point. We consider domains in R or R that are initially small perturbations of balls. After a suitable time-dependent rescaling, a ball becomes a stationary solution. To prove stability of this solution, we derive a nonlinear non-local evolution equation describing the motion of perturbed do...
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Large-time behaviour of Hele-Shaw flow with surface tension and with injection or suction in one point is discussed. We consider domains which are initially small perturbations of balls. Radially symmetric solutions are stationary after a suitable time-dependent rescaling. The evolution of perturbations can be described by a non-local nonlinear parabolic evolution equation. Global existence res...
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We discuss long-time behaviour of the Hele-Shaw flow in R with surface tension and injection or suction in the origin, for domains that are small perturbations of balls. After rescaling, radially symmetric solutions become stationary. We study the stability of these solutions. In particular, we show that all liquid can be removed by suction if the suction point and the geometric centre coincide...
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We consider a polymeric fluid model, consisting of the incompressible Navier-Stokes equations coupled to a non-symmetric Fokker-Planck equation. First, steady states and exponential convergence to them in relative entropy are proved for the linear Fokker-Planck equation in the Hookean case. The FENE model is also addressed proving the existence of stationary states and the convergence towards t...
متن کاملLong-time behaviour of classical Hele-Shaw flows with injection near expanding balls
Long-time behaviour for the classical Hele-Shaw flow with injection in the origin is discussed. Domains that are small perturbations of balls are considered. Radially symmetric solutions are turned into stationary ones by suitable time-dependent scaling. An evolution equation for the motion of the domain is derived and linearised. Spectral properties of the linearisation and the principle of li...
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ژورنال
عنوان ژورنال: Interfaces and Free Boundaries
سال: 2008
ISSN: 1463-9963
DOI: 10.4171/ifb/198