On the local solvability of evolution equations for the interface of two filtering fluids in the class of analytic functions

DOI10.1134/S001226610809005XzbMath1158.76046OpenAlexW2068724620MaRDI QIDQ1007026

D. N. Nikol'skij, Alexey V. Setukha

Publication date: 26 March 2009

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s001226610809005x

zbMATH Keywords

Fredholm integral equationuniquenessnonlinear singlar integro-differential equationvelocity vector potential

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Three or more component flows (76T30) Systems of nonlinear integral equations (45G15)

Related Items (1)

Mathematical simulation of the evolution of a liquid-liquid interface in piecewise inhomogeneous layers of complex geological structure

Cites Work

• Finite time analyticity for the two and three dimensional Kelvin- Helmholtz instability
• A note on a theorem of Nirenberg
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