On a Hele-Shaw flow problem with free and solid boundary components
DOI10.1007/s11785-017-0719-8zbMath1379.35244OpenAlexW2751148369MaRDI QIDQ1683715
Publication date: 1 December 2017
Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11785-017-0719-8
Sobolev spacesLipschitz domainDirichlet-Neumann boundary value problemHele-Shaw flow problemNewtonian and boundary layer potentials
Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with fluid mechanics (35Q35) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Other free boundary flows; Hele-Shaw flows (76D27) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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Cites Work
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- \(L^q\)-solution of the Robin problem for the Oseen system
- Integral equation method for the first and second problems of the Stokes system
- Classical and stochastic Laplacian growth
- A special class of univalent functions in Hele-Shaw flow problems
- Traces, extensions and co-normal derivatives for elliptic systems on Lipschitz domains
- Interface evolution: the Hele-Shaw and Muskat problems
- Boundary integral equations
- Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
- Nonlinear stability of the Muskat problem with capillary pressure at the free boundary
- Nonlinear Neumann-transmission problems for Stokes and Brinkman equations on Euclidean Lipschitz domains
- Hele-Shaw problems in multidimensional spaces
- Boundary value problems of Robin type for the Brinkman and Darcy-Forchheimer-Brinkman systems in Lipschitz domains
- Poisson problems for semilinear Brinkman systems on Lipschitz domains in \(\mathbb{R}^n\)
- Exact real trinomial solutions to the inner and outer Hele-Shaw problems
- Mixed boundary value problem of Laplace equation in a bounded Lipschitz domain
- Nonbranching weak and starshaped strong solutions for Hele-Shaw dynamics
- Potential techniques and regularity of boundary value problems in exterior non-smooth domains
- Conformal and potential analysis in Hele-Shaw cells.
- Exact solutions to the unsteady two-phase Hele-Shaw problem
- Hele-Shaw type flows in Rn
- Global solutions for a two-phase Hele-Shaw bubble for a near-circular initial shape
- Hele Shaw flows with a free boundary produced by the injection of fluid into a narrow channel
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