Uniqueness of the regular waiting-time type solution of the thin film equation

DOI10.1017/S0956792512000101zbMath1242.76041OpenAlexW2167265714MaRDI QIDQ2895873

Marina Chugunova, John R. King, Roman M. Taranets

Publication date: 13 July 2012

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

Full work available at URL: https://doi.org/10.1017/s0956792512000101

zbMATH Keywords

uniquenessentropy solutionsthin film equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Lubrication theory (76D08) Thin films (74K35) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (5)

Qualitative behaviour of solutions in two models of thin liquid films ⋮ Interface Propagation Properties for a Nonlocal Thin-Film Equation ⋮ New dissipated energy and partial regularity for thin film equations ⋮ On qualitative behaviour of solutions to a thin film equation with a source term ⋮ Pressure-dipole solutions of the thin-film equation

Cites Work

• New dissipated energy for the unstable thin film equation
• Higher order nonlinear degenerate parabolic equations
• Smooth zero-contact-angle solutions to a thin-film equation around the steady state
• Nonnegative solutions of a fourth-order nonlinear degenerate parabolic equation
• Degenerate parabolic differential equations of fourth order and a plasticity model with nonlocal hardening
• New dissipated energies for the thin fluid film equation
• On the Cahn–Hilliard Equation with Degenerate Mobility
• Small- and Waiting-Time Behavior of the Thin-Film Equation
• Effect of Time Delay of Support Propagation in Equations of Thin Films

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