Stokes-Leibenson problem for Hele-Shaw flow: a critical set in the space of contours

DOI10.1134/S1061920816010039zbMath1342.76039MaRDI QIDQ2629311

Vincent Runge, A. S. Demidov, Jean-Pierre Lohéac

Publication date: 6 July 2016

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07)

Cites Work

• Regularity of a boundary having a Schwarz function
• A simplified proof for a moving boundary problem for Hele-Shaw flows in the plane
• Evolution of the perturbation of a circle in the Stokes-Leibenson problem for the Hele-Shaw flow. II
• Evolution of the perturbation of a circle in the Stokes-Leibenson problem for the Hele-Shaw flow
• Conformal and potential analysis in Hele-Shaw cells.
• Numerical Scheme for Laplacian Growth Models Based on the Helmholtz—Kirchhoff Method
• Functional geometric method for solving free boundary problems for harmonic functions
• Applications of Variational Inequalities to a Moving Boundary Problem for Hele Shaw Flows
• Convergence of the phase field model to its sharp interface limits
• On the classification of solutions to the zero-surface-tension model for Hele-Shaw free boundary flows
• Classical Solutions of Multidimensional Hele--Shaw Models
• Stefan and Hele-Shaw type models as asymptotic limits of the phase-field equations
• On one proof of the classical solvability of the Hele-Shaw problem with free boundary
• Global in time solution to the Hele-Shaw problem with a change of topology
• On the evolution of a weak perturbation of a circle in the problem of a Hele-Shaw flow
• Crystalline Saffman–Taylor Fingers
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item