Multiple bubble dynamics and velocity selection in Laplacian growth without surface tension
DOI10.1016/j.physd.2023.134032arXiv1501.01052MaRDI QIDQ6191529
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Publication date: 7 March 2024
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1501.01052
free boundary problemconformal mappingmultiply connected domainHele-Shaw flowSchwarz functionSchottky-Klein prime function
Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Liquid-gas two-phase flows, bubbly flows (76T10) Complex variables methods applied to problems in fluid mechanics (76M40) Other free boundary flows; Hele-Shaw flows (76D27)
Cites Work
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- The effect of finiteness in the Saffman-Taylor viscous fingering problem
- Long-time behavior of the \(N\)-finger solution of the Laplacian growth equation
- Pattern selection: Determined by symmetry and modifiable by distant effects
- The selection of Saffman-Taylor fingers by kinetic undercooling
- Laplacian growth and Whitham equations of soliton theory
- Selection in the Saffman-Taylor finger problem and the Taylor-Saffman bubble problem without surface tension
- Conformal and potential analysis in Hele-Shaw cells.
- Multiple bubbles and fingers in a Hele-Shaw channel: complete set of steady solutions
- The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
- Asymptotics beyond All Orders in a Model of Crystal Growth
- On the motion of unsteady translating bubbles in an unbounded Hele-Shaw cell
- Random matrices in 2D, Laplacian growth and operator theory
- Definitions and examples of inverse and ill-posed problems
- Multiple steady bubbles in a Hele-Shaw cell
- The effect of surface tension on the shape of a Hele–Shaw cell bubble
- Analytic theory for the selection of a symmetric Saffman–Taylor finger in a Hele–Shaw cell
- Complex variable methods in Hele–Shaw moving boundary problems
- The Schottky–Klein prime function: a theoretical and computational tool for applications
- Numerical solution to the Saffman--Taylor finger problem with kinetic undercooling regularisation
- The Schwarz–Christoffel mapping to bounded multiply connected polygonal domains
- Viscous fingering as a paradigm of interfacial pattern formation: Recent results and new challenges
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