Similarity solutions in the theory of curvature driven diffusion along planar curves. I: Symmetric curves expanding in time

DOI10.1016/S0167-2789(98)00160-2zbMath0934.65111OpenAlexW2002596586MaRDI QIDQ1808328

Bernard D. Coleman, Richard S. Falk, Maher Moakher, Sergey Asvadurov

Publication date: 6 December 1999

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(98)00160-2

zbMATH Keywords

numerical resultsRunge-Kutta methodssimilarity solutionscurvature driven surface diffusiondiffusion along curves

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial value problems for higher-order parabolic equations (35K30)

Related Items

On the Rayleigh-Plateau instability, The scientific work of Bernard D. Coleman, Similarity solutions in the theory of curvature driven diffusion along planar curves. II: Curves that travel at constant speed., On the Rayleigh-Plateau instability. The regularity in H^3_per

Cites Work

• Flow by mean curvature of convex surfaces into spheres
• Exact solvability of the Mullins nonlinear diffusion model of groove development