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Sharp upper and lower bounds of the attractor dimension for 3D damped Euler–Bardina equations

Alexei Ilyin, Anna Kostianko, Sergey Zelik

2022Physica D Nonlinear Phenomena17 citationsDOIOpen Access PDF

Topics & Concepts

Mathematical analysisAttractorMathematicsTorusBounded functionDimension (graph theory)Fractal dimensionEuler equationsEuler's formulaDomain (mathematical analysis)Regularization (linguistics)Backward Euler methodDirichlet boundary conditionBoundary (topology)FractalGeometryPure mathematicsComputer scienceArtificial intelligenceNavier-Stokes equation solutionsStability and Controllability of Differential EquationsFluid Dynamics and Turbulent Flows
Sharp upper and lower bounds of the attractor dimension for 3D damped Euler–Bardina equations | Litcius