Nonlinear dynamics of a dispersive anisotropic Kuramoto–Sivashinsky equation in two space dimensions
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Publication:4558921
DOI10.1098/rspa.2017.0687zbMath1402.35252OpenAlexW2795314400WikidataQ52381465 ScholiaQ52381465MaRDI QIDQ4558921
Demetrios T. Papageorgiou, Ruben J. Tomlin, A. Kalogirou
Publication date: 30 November 2018
Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1098/rspa.2017.0687
KdV equations (Korteweg-de Vries equations) (35Q53) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Thin fluid films (76A20)
Related Items (7)
On the well-posedness of an anisotropically-reduced two-dimensional Kuramoto-Sivashinsky equation ⋮ Regularity criteria for the Kuramoto-Sivashinsky equation in dimensions two and three ⋮ Explicit estimates on the torus for the sup-norm and the crest factor of solutions of the modified Kuramoto-Sivashinky equation in one and two space dimensions ⋮ Conservation laws, classical symmetries and exact solutions of a (1 + 1)-dimensional fifth-order integrable equation ⋮ Optimal Control of Thin Liquid Films and Transverse Mode Effects ⋮ Global solutions of the two-dimensional Kuramoto-Sivashinsky equation with a linearly growing mode in each direction ⋮ Data-driven closures for stochastic dynamical systems
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