Hele-Shaw flow on weakly hyperbolic surfaces

DOI10.1512/iumj.2005.54.2651zbMath1083.35111OpenAlexW1989315481WikidataQ59288483 ScholiaQ59288483MaRDI QIDQ5704308

Haakan Hedenmalm, Anders Olofsson

Publication date: 14 November 2005

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2005.54.2651

zbMATH Keywords

mean value propertyHele-Shaw flowbiharmonic Green functionsimply connected Riemann surface

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Free boundary problems for PDEs (35R35) Local Riemannian geometry (53B20) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Potential theory on Riemannian manifolds and other spaces (31C12) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items (13)

Poisson integrals for standard weighted Laplacians in the unit disc ⋮ The polyanalytic Ginibre ensembles ⋮ Several properties of \(\alpha \)-harmonic functions in the unit disk ⋮ Weighted integrability of polyharmonic functions ⋮ Applications of the duality between the homogeneous complex Monge-Ampère equation and the Hele-Shaw flow ⋮ A computation of Poisson kernels for some standard weighted biharmonic operators in the unit disc ⋮ The subdivision-based IGA-EIEQ numerical scheme for the Cahn-Hilliard-Darcy system of two-phase Hele-Shaw flow on complex curved surfaces ⋮ Soft Riemann‐Hilbert problems and planar orthogonal polynomials ⋮ The Dirichlet problem for the complex homogeneous Monge-Ampère equation ⋮ The Hele-Shaw flow and moduli of holomorphic discs ⋮ Regularity in a singular biharmonic Dirichlet problem ⋮ Off-spectral analysis of Bergman kernels ⋮ An expansive multiplier property for operator-valued Bergman inner functions

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