✦ LIBER ✦

Variatonal formulation for the lubrication approximation of the Hele-Shaw flow

✍ Scribed by Lorenzo Giacomelli; Felix Otto

Book ID: 106176492
Publisher: Springer
Year: 2001
Tongue: English
Weight: 199 KB
Volume: 13
Category: Article
ISSN: 0944-2669
DOI: 10.1007/s005260000077

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Stability of the equilibria for periodic

Stability of the equilibria for periodic Stokesian Hele-Shaw flows

✍ Joachim Escher; Bogdan-Vasile Matioc 📂 Article 📅 2008 🏛 Springer 🌐 English ⚖ 118 KB

Flows of the hele-shaw type between coax

Flows of the hele-shaw type between coaxial shells of revolution

✍ P. A. Novikov; L. Ya. Lyubin; V. I. Novikova 📂 Article 📅 1987 🏛 Springer US 🌐 English ⚖ 480 KB

A general solution of the Hele–Shaw prob

A general solution of the Hele–Shaw problem for flows in a channel

✍ M.M. Alimov 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 368 KB

The partial derivatives of the function which maps the auxiliary plane into the physical plane are rational functions for all known exact solutions of the problem of fingering in a Hele-Shaw cell. Using methods of complex analysis a general form of the solution is constructed which possesses this pr

Traveling Wavelets for the Simulation of

Traveling Wavelets for the Simulation of a Hele–Shaw Flow with Surface Tension

✍ J. Elezgaray 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 54 KB

The singularity dynamics of two immiscible fluids in a Hele-Shaw cell is studied using the traveling wavelet method. The singularities of the conformal mapping of the flow are accurately approximated by the solutions of a system of ordinary differential equations for the position of couples of zeros

Analysis of a Darcy--Cahn--Hilliard Diff

Analysis of a Darcy--Cahn--Hilliard Diffuse Interface Model for the Hele-Shaw Flow and Its Fully Discrete Finite Element Approximation

✍ Feng, Xiaobing; Wise, Steven 📂 Article 📅 2012 🏛 Society for Industrial and Applied Mathematics 🌐 English ⚖ 926 KB

A Hybrid Method for Moving Interface Pro

A Hybrid Method for Moving Interface Problems with Application to the Hele–Shaw Flow

✍ Thomas Y. Hou; Zhilin Li; Stanley Osher; Hongkai Zhao 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 613 KB

are examples of this type; see, e.g., the recent review paper [12] for references. The disadvantage of front tracking In this paper, a hybrid approach which combines the immersed interface method with the level set approach is presented. The fast methods is that it requires explicit tracking of the