| Nonlinear Waves in 3D Euler Equations and Surface Geostrophic Flows |
| Organizer: |
| Xinwei Yu ( University of Alberta, Canada ) |
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| The 3D Euler and 2D Surface Quasi-Geostrophic (SQG) Equations receive much interest in the past 20 years due to their importance in mathematical fluid mechanics and the development of the mathematical theory for nonlinear evolutionary partial differential equations. Recently, new progresses have been made in the study of both equations. On one hand, recent numerical, analytical, and geometrical results have revealed hidden structures in the nonlinear interactions of the 3D Euler and 2D SQG equations; On the other hand, understanding of existing 1D model equations of these equations is becoming more complete, and several new model equations highlighting possible singularity formation mechanisms have been proposed and studied. A thorough understanding of these new results will serve as a foundation for the future development of a complete theory of mathematical fluid mechanics.
The objective of this minisymposium is to bring together experts worldwide and present state-of-the-art research results. It will also serve as a platform for the discusssion of future directions of the study of the 3D Euler, 2D SQG, and related equations. |
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| List of Speakers: |
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| 1) Ruo Li ( Peking University, China ) |
| "Numerical Study of 3D Incompressible Euler Equations with highly Symmetric Initial Data" |
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| 2) Shu Wang ( College of Applied Sciences, Beijing University of Technology, China ) |
| "On singularity formation of the 3D model for the incompressible Euler and Navier-Stokes equation" |
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| 3) Zuoqiang Shi ( Caltech, U.S.A. ) |
| "On Singularity Formation of a 3D Model for Incompressible
Navier-Stokes Equations" |
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| 4) Jian Deng ( Central University of Finance and Economics, China ) |
| "A nonlinear depletion mechanism of vorticity in 2D
Boussinesq equation" |
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| 5) Stephen Preston ( University of Colorado, Boulder, U.S.A. ) |
| "Geometric aspects of hydrodynamic blowup" |
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| 6) Zhen Lei ( Fudan University, China ) |
| "Well-posedness of Complex Fluids" |
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| 7) Baoquan Yuan ( Henan Polytechnic University, China ) |
| "Some results of the magneto-hydrodynamic system in Besov
spaces" |
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| 8) Francisco Gancedo ( University of Chicago, U.S.A. ) |
| "Contour dynamics for 2D active scalars" |
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| 9) Yong Zhou ( East China Normal University, China ) |
| "On the Camassa-Holm equation" |
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| 10) Ning Ju ( Oklahoma State University, U.S.A. ) |
| "Longtime Dynamics for 2D Boussinesque System with
Fractional Dissipation" |
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