Waiting time phenomena of the Hele-Shaw and the Stefan problem
نویسندگان
چکیده
منابع مشابه
Asymptotic Convergence of the Stefan Problem to Hele-shaw
We discuss the asymptotic behaviour of weak solutions to the Hele-Shaw and one-phase Stefan problems in exterior domains. We prove that, if the space dimension is greater than one, the asymptotic behaviour is given in both cases by the solution of the Dirichlet exterior problem for the Laplacian in the interior of the positivity set and by a singular, radial and self-similar solution of the Hel...
متن کاملLong time regularity of solutions of the Hele-Shaw problem
In this paper we study the long-time behavior of solutions of the one phase Hele-Shaw problem without surface tension. We show that after a finite time solutions of the Hele-Shaw problem become Lipschitz continuous with nondegenerate free boundary speed. It then follows that after a finite time the solution and the free boundary become smooth in space and time. 0 Introduction Let K = {x ∈ IR : ...
متن کاملthe problem of divine hiddenness
این رساله به مساله احتجاب الهی و مشکلات برهان مبتنی بر این مساله میپردازد. مساله احتجاب الهی مساله ای به قدمت ادیان است که به طور خاصی در مورد ادیان ابراهیمی اهمیت پیدا میکند. در ادیان ابراهیمی با توجه به تعالی خداوند و در عین حال خالقیت و حضور او و سخن گفتن و ارتباط شهودی او با بعضی از انسانهای ساکن زمین مساله ای پدید میاید با پرسشهایی از قبیل اینکه چرا ارتباط مستقیم ویا حداقل ارتباط وافی به ب...
15 صفحه اولExistence and uniqueness of the Hele-Shaw problem with injection
This paper gives a new and short proof of existence and uniqueness of the Polubarinova-Galin equation. The existence proof is an application of the main theorem in Lin [2]. Furthermore, we can conclude that every strong solution can be approximated by many strong polynomial solutions locally in time.
متن کاملGlobal Solutions for Small Data to the Hele-shaw Problem
We analyze an equation governing the motion of an interface between two fluids in a pressure field. In two dimensions, the interface is described by a conformal mapping which is analytic in the exterior of the unit disc. This mapping obeys a nonlocal nonlinear equation. When there is no pumping at infinity, there is conservation of area and contraction of the length of the interface. We prove g...
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: Indiana University Mathematics Journal
سال: 2006
ISSN: 0022-2518
DOI: 10.1512/iumj.2006.55.2711