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Publication:2711850
DOI<1092::AID-CPA2>3.0.CO;2-Z 10.1002/1097-0312(200009)53:9<1092::AID-CPA2>3.0.CO;2-ZzbMath1069.35003arXivmath/0203045MaRDI QIDQ2711850
Publication date: 26 April 2001
Full work available at URL: https://arxiv.org/abs/math/0203045
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Cites Work
- A nonlinear approximation for vortex sheet evolution and singularity formation
- Zero viscosity limit for analytic solutions, of the Navier-Stokes equation on a half-space. I: Existence for Euler and Prandtl equations
- Zero viscosity limit for analytic solutions of the Navier-Stokes equation on a half-space. II: Construction of the Navier-Stokes solution
- On Borel summation and Stokes phenomena for rank-\(1\) nonlinear systems of ordinary differential equations
- A Localized Approximation Method for Vortical Flows
- Singular Solutions and Ill-Posedness for the Evolution of Vortex Sheets
- Cusp Development in Hele–Shaw Flow with a Free Surface
- A study of singularity formation in a vortex sheet by the point-vortex approximation
- Long time existence for a slightly perturbed vortex sheet
- Complex variable methods in Hele–Shaw moving boundary problems
- The spontaneous appearance of a singularity in the shape of an evolving vortex sheet
- A Hele-Shaw problem and the second Painlevé transcendent
- Singular effects of surface tension in evolving Hele-Shaw flows
- Evolution of Hele-Shaw interface for small surface tension