\(H^1\)-solutions for the Hele-Shaw equation

DOI10.1007/s10013-020-00448-6zbMath1473.35343OpenAlexW3088927627MaRDI QIDQ2046191

Lorenzo di Ruvo, Giuseppe Maria Coclite

Publication date: 17 August 2021

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-020-00448-6

zbMATH Keywords

Cauchy problemvanishing viscosityexistence resultAubin-Lions lemmaHele-Shaw equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15) Quasilinear parabolic equations (35K59)

Related Items (1)

\(H^1\) solutions for a Kuramoto-Velarde type equation

Cites Work

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• Oleinik type estimates for the Ostrovsky-Hunter equation
• Higher order nonlinear degenerate parabolic equations
• Compact sets in the space \(L^ p(0,T;B)\)
• A kinetic approximation of Hele-Shaw flow.
• Optimal strategies for a time-dependent harvesting problem
• Nonnegative solutions of a fourth-order nonlinear degenerate parabolic equation
• Convergence of the Ostrovsky equation to the Ostrovsky-Hunter one
• High-Order Nonlinear Diffusion
• The Isolation Oxidation of Silicon
• The Isolation Oxidation of Silicon: The Reaction-Controlled Case
• SLIDING AND SPREADING OF THIN TWO-DIMENSIONAL DROPS
• Source type solutions of a fourth order nonlinear degenerate parabolic equation
• On the motion of a small viscous droplet that wets a surface
• Thin Films with High Surface Tension
• The Motion with Slip of a Thin Viscous Droplet over a Solid Surface
• Existence results for the Kudryashov–Sinelshchikov–Olver equation
• A Time-Dependent Optimal Harvesting Problem with Measure-Valued Solutions

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