Global existence for the two-dimensional Kuramoto-Sivashinsky equation with advection
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Publication:5037295
DOI10.1080/03605302.2021.1975131zbMath1484.35255arXiv2009.04029OpenAlexW3201625229MaRDI QIDQ5037295
Yuanyuan Feng, Anna L. Mazzucato
Publication date: 28 February 2022
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.04029
global existenceperiodic boundary conditionsmild solutionsmixingKuramoto-Sivashinskyenhanced diffusiondiffusion timetwo dimensionassociated hyperdiffusion-advection equation
Initial-boundary value problems for higher-order parabolic equations (35K35) Turbulent transport, mixing (76F25) Convection in hydrodynamic stability (76E06) Semilinear parabolic equations (35K58)
Related Items (7)
Homogenization theory: periodic and beyond. Abstracts from the workshop held March 14--20, 2021 (online meeting) ⋮ Regularity criteria for the Kuramoto-Sivashinsky equation in dimensions two and three ⋮ Quantifying the Dissipation Enhancement of Cellular Flows ⋮ Enhanced dissipation by circularly symmetric and parallel pipe flows ⋮ Analysis of large time asymptotics of the fourth‐order parabolic system involving variable coefficients and mixed nonlinearities ⋮ Well- and ill-posedness for a class of the \(3D\)-generalized Kuramoto-Sivashinsky equations ⋮ Using Bernoulli maps to accelerate mixing of a random walk on the torus
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