Stability Theory for Difference Approximations of Euler--Korteweg Equations and Application to Thin Film Flows

DOI10.1137/130918009zbMath1309.76142arXiv1304.3805OpenAlexW1970801855MaRDI QIDQ5245388

Pascal Noble, Jean-Paul Vila

Publication date: 8 April 2015

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.3805

zbMATH Keywords

conservation lawsentropy inequalitydifference schemethin filmscapillarityHamiltonian PDEsEuler-Korteweg equationsentropy conservative

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Thin fluid films (76A20) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

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