On periodic Stokesian Hele-Shaw flows with surface tension

DOI10.1017/S0956792508007699zbMath1148.76020OpenAlexW2116963045MaRDI QIDQ3535686

Joachim Escher, Bogdan-Vasile Matioc

Publication date: 13 November 2008

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0956792508007699

zbMATH Keywords

stabilityexistenceDarcy's lawfree surface

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Capillarity (surface tension) for incompressible viscous fluids (76D45) Wakes and jets (76D25)

Related Items (6)

Stability and bifurcation analysis of a free boundary problem modelling multi-layer tumours with Gibbs–Thomson relation ⋮ Global solutions for a two-phase Hele-Shaw bubble for a near-circular initial shape ⋮ Two-dimensional steady edge waves. I: Periodic waves ⋮ Elliptic operators and maximal regularity on periodic little-Hölder spaces ⋮ Classical solutions for a modified Hele-Shaw model with elasticity ⋮ Stabilization of periodic Stokesian Hele–Shaw flows of ferrofluids

Cites Work

• Unnamed Item
• Maximal regularity for a free boundary problem
• Analyticity of the interface in a free boundary problem
• Classical Solutions of Multidimensional Hele--Shaw Models
• OPERATOR-VALUED FOURIER MULTIPLIERS ON PERIODIC BESOV SPACES AND APPLICATIONS
• Analytic semigroups and optimal regularity in parabolic problems
• Stability of the equilibria for spatially periodic flows in porous media

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