Analytic solution to an interfacial flow with kinetic undercooling in a time-dependent gap Hele-Shaw cell
DOI10.3934/dcdsb.2020307zbMath1471.35243OpenAlexW3094287453MaRDI QIDQ2033948
Publication date: 18 June 2021
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2020307
Riemann-Hilbert probleminterfacial flowabstract Cauchy-Kovalevskaya problemkinetic undercooling regulation
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cauchy-Kovalevskaya theorems (35A10) Free boundary problems for PDEs (35R35) Riemann-Hilbert problems in context of PDEs (35Q15) Other free boundary flows; Hele-Shaw flows (76D27)
Related Items (1)
Cites Work
- Unnamed Item
- The effect of surface tension and kinetic undercooling on a radially-symmetric melting problem
- A note on a theorem of Nirenberg
- The selection of Saffman-Taylor fingers by kinetic undercooling
- Rigorous results in steady finger selection in viscous fingering
- Hele-Shaw flows with nonlinear kinetic undercooling regularization
- A Cauchy integral approach to Hele-Shaw problems with a free boundary: The case of zero surface tension
- Hele-Shaw problems in multidimensional spaces
- An abstract form of the nonlinear Cauchy-Kowalewski theorem
- On the breakdown of Hele-Shaw solutions with nonzero surface tension
- Modeling an Elastic Fingering Instability in a Reactive Hele-Shaw Flow
- The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
- A NOTE ON THE MOTION OF BUBBLES IN A HELE-SHAW CELL AND POROUS MEDIUM
- The effect of surface tension on the shape of a Hele–Shaw cell bubble
- Viscous fingering in Hele-Shaw cells
- Analytic theory for the selection of a symmetric Saffman–Taylor finger in a Hele–Shaw cell
- Hele - Shaw flow and pattern formation in a time-dependent gap
- The effect of surface tension on the shape of fingers in a Hele Shaw cell
- Analyticity and nonexistence of classical steady Hele‐Shaw fingers
- On the rôle of Stokes lines in the selection of Saffman–Taylor fingers with small surface tension
- Analytical and numerical treatment of a complex model for Hele-Shaw moving boundary value problems with kinetic undercooling regularization
- Asymptotic results for the Stefan problem with kinetic undercooling
- Computation of a Shrinking Interface in a Hele-Shaw Cell
- Rigorous results in existence and selection of Saffman–Taylor fingers by kinetic undercooling
- Regularization by Kinetic Undercooling of Blow-up in the Ill-posed Stefan Problem
- Corner and finger formation in Hele-Shaw flow with kinetic undercooling regularisation
This page was built for publication: Analytic solution to an interfacial flow with kinetic undercooling in a time-dependent gap Hele-Shaw cell
