Numerical and asymptotic solution of a sixth-order nonlinear diffusion equation and related coupled systems

DOI10.1093/IMAMAT/57.1.79zbMath0872.76027OpenAlexW1975676525MaRDI QIDQ4335938

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Publication date: 5 May 1997

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

Full work available at URL: https://doi.org/10.1093/imamat/57.1.79

zbMATH Keywords

Newton's methodlinearizationconservation of massmoving boundaryJacobian matrixminimization of strain energybeam of negligible mass

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Lubrication theory (76D08) Finite difference methods applied to problems in fluid mechanics (76M20)

Related Items (3)

Group classification and conservation laws of a sixth-order thin film type equation ⋮ Group properties and invariant solutions of a sixth-order thin film equation in viscous fluid ⋮ Existence and blow-up of weak solutions for a sixth-order equation related to thin solid films

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