A class of nonlinear front evolution equations derived from geometry and conservation

DOI10.1016/S0167-2789(98)00320-0zbMath0947.76028WikidataQ126654008 ScholiaQ126654008MaRDI QIDQ1809202

Zoltán Csahók, Alexandre Valance, Chaouqi Misbah

Publication date: 13 November 2000

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

zbMATH Keywords

crystal growthsolidification frontsand ripplesnonlinear front evolution equationssand surfacespatial self-organization

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Multiphase and multicomponent flows (76T99) Hyperbolic conservation laws (35L65) Stability and instability of geophysical and astrophysical flows (76E20)

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Lie symmetry analysis for the general classes of generalized modified Kuramoto-Sivashinsky equation ⋮ Energetics and coarsening analysis of a simplified non-linear surface growth model ⋮ On the dynamics of aeolian sand ripples ⋮ Stationary Coexistence of Hexagons and Rolls via Rigorous Computations

Cites Work

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• Local stability theory of solitary pulses in an active medium
• Dynamic Scaling of Growing Interfaces
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations

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