Global solutions to bubble growth in porous media

DOI10.1016/j.jmaa.2011.04.038zbMath1223.35068arXiv1010.2223OpenAlexW2962961116MaRDI QIDQ549745

Lavi Karp

Publication date: 18 July 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.2223

zbMATH Keywords

moving boundary problemviscous fluidHele-Shaw flowsgeneralized Newton potential

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Moving boundary problems for PDEs (35R37)

Cites Work

• Quadrature domains
• Null quadrature domains
• On quadrature domains and the Schwarz potential
• Newtonian potential theory for unbounded sources and applications to free boundary problems
• Generalized Newton potential and its applications
• Harmonic Function Theory
• Existence of weak backward solutions to a generalized Hele Shaw flow moving boundary problem
• Bubble growth in porous media and Hele–Shaw cells
• BUBBLE CONTRACTION IN HELE-SHAW CELLS
• On the newtonian potential of ellipsoids
• Hele Shaw flows with a free boundary produced by the injection of fluid into a narrow channel
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