Approximation of the Integral Boundary Layer Equation by the Kuramoto--Sivashinsky Equation

DOI10.1137/S0036139902405900zbMath1024.35043MaRDI QIDQ4429786

Hannes Uecker

Publication date: 28 September 2003

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

energy estimatesinclined film flow

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) A priori estimates in context of PDEs (35B45) Interfacial stability and instability in hydrodynamic stability (76E17)

Related Items (5)

Instability in gravity-driven flow over uneven surfaces ⋮ Pulse dynamics in low-Reynolds-number interfacial hydrodynamics: experiments and theory ⋮ Self-similar decay of spatially localized perturbations of the Nusselt solution for the inclined film problem ⋮ Self-similar decay of localized perturbations in the integral boundary layer equation ⋮ Electrohydrodynamic instability of viscous liquid films: electrostatically modified second-order Benney and Kuramoto-Sivashinsky models

This page was built for publication: Approximation of the Integral Boundary Layer Equation by the Kuramoto--Sivashinsky Equation