A rapid proof for a flattening property of a classical solution of the Mullins equation

DOI10.1063/1.529305zbMath0736.35135OpenAlexW1974730682MaRDI QIDQ3980877

Hiroyuki Umehara, Akihiko Kitada

Publication date: 26 June 1992

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529305

zbMATH Keywords

Cauchy problemMullins equationflattening property of a classical solution

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Contact in solid mechanics (74M15) Theories of friction (tribology) (74A55)

Related Items (2)

Asymptotic stability of the stationary solution to an initial boundary value problem for the Mullins equation of fourth order ⋮ Existence and long-time behaviour of weak solutions for the Mullins equation

Cites Work

• Exact solvability of the Mullins nonlinear diffusion model of groove development
• Comment on ‘‘On a property of a classical solution of the nonlinear mass transport equation u t=u x x/1+u x 2. II’’ [J. Math. Phys. 2 8, 536 (1987)]

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