Professional Experience

• 07/2008 – Now. Assistant Professor, Mathematical and Statistical Sciences, University of Alberta, Edmonton, Canada.
• 07/2005 – 06/2008. CAM Assistant Professor, Mathematics Department, University of California, Los Angeles. Supervisor: Prof. Russel E. Caflisch.
  

Education

• 09/2000 – 06/2005. Ph. D. in Applied and Computational Mathematics, Caltech, Pasadena, CA. Advisor: Prof. Thomas Y. Hou.
• 09/1997 – 07/2000. M.S. in Scientific and Engineering Computational Mathematics, Peking University, Beijing, China. Advisor: Prof. Lung-an Ying; Co-advisor: Prof. Zhiping Li.
• 09/1993 – 07/1997. B.S. in Mathematics, Peking University, Beijing, China.

Research

Research Interests

Partial Differential Equations; Fluid Mechanics; Signal Processing.

Publications

Journal Publication

1. Chuong V. Tran, Xinwei Yu, Luke Blackbourn, "Two-dimensional magnetohydrodynamic turbulence in the limits of infinite and vanishing magnetic Prandtl number". (Download) 
   J. Fluid Mech.  725, 2013, 195-215 (21 pages); doi:10.1017/jfm.2013.193.
2. Chuong V. Tran, Xinwei Yu, Zhichun Zhai, "On global regularity of 2D generalized Magnetohydrodynamic equations". (Download) 
   J. Differential Equations. 254(10), May 2013, 4194-4216 (23 pages); DOI: 10.1016/j.jde.2013.02.106. http://arxiv.org/abs/1302.6633
   
3. Chuong V. Tran, Xinwei Yu, Zhichun Zhai, "Note on solution regularity of the generalized Magnetohydrodynamic equations with partial dissipation". (Download)
   Nonlinear Analysis Series A: Theory, Methods & Applications 85 Jul. 2013, 43-51 (9 pages); DOI: 10.1016/j.na.2013.02.019. . http://arxiv.org/abs/1302.7050
   
4. Gencheng Guo, Xinwei Yu, Yindi Jing, Mrinal Mandal, "Optimal design and noice-enhanced effect for binary threshold detector under AUC measure", (Download)
   IEEE Signal Processing Letters. 20(2), Feb. 2013, 161-164 (4 pages); DOI: 10.1109/LSP.2012.2234452.
   
5. Hichem Hajaiej, Xinwei Yu, Zhichun Zhai, "Fractional Gagliardo-Nirenberg and Hardy inequalities under Lorentz norms", (Download)
   JMAA 396(2), 569-577, 2012 (9 pages). DOI: 10.1016/j.jmaa.2012.06.054.
   
6. Yindi Jing, Xinwei Yu, "ML-Based channel estimations for non-regenerative relay networks with multiple transmit and receive antennas", (Download)
   IEEE JSAC 30(8) 1428-1439, 2012 (12 pages). DOI: 10.1109/JSAC.2012.120912.
7. Chuong V. Tran, Xinwei Yu, "Bounds for the number of degrees of freedom of incompressible magnetohydrodynamic turbulence in two and three dimensions", (Download)
   Phys. Rev. E.  85 066323 2012 (9 pages). DOI: 10.1103/PhysRevE.85.066323
8. Xinwei Yu, Zhichun Zhai, "Well-posedness for fractional Navier-Stokes equations in the largest critical spaces", (Download)
   Math. Meth. Appl. Sci. 35(6), 676-683, 2012.  DOI: http://dx.doi.org/10.1002/mma.1582.
9. Xinwei Yu, Zhichun Zhai, "On the Lagrangian averaged Euler equations: local well-posedness and blow-up criterion", (Download)
   Comm. Pure Appl. Anal. 11(5), 1809-1823. 2012. DOI: 10.3934/cpaa.2012.11.1809.
10. Thomas Y. Hou, Congming Li, Zuoqiang Shi, Shu Wang, Xinwei Yu, “On singularity formation of a nonlinear nonlocal system”, (Download)
    Arch. Ration. Mech. Anal. 199(1), 117-144, 2011. DOI: 10.1007/s00205-010-0319-5
11. Xinwei Yu, “A Note on the energy conservation of ideal MHD equations”, (Download)
    Nonlinearity 22(4) 913-922, 2009. doi: 10.1088/0951-7715/22/4/012. 
12. Xinwei Yu, “Remarks on the global regularity for the super-critical 2D dissipative quasi-geostrophic equation”, (Download)
    Journal of Mathematical Analysis and Applications, 339: 359-371, 2008. 
13. Jian Deng, Thomas Y. Hou, Ruo Li, Xinwei Yu, “Level set dynamics and the non-blowup of the 2D quasi-geostrophic equation”, (Download).
    Methods and Applications of Analysis, 13(2): 157-180, 2006. 
14. Jian Deng, Thomas Y. Hou, Xinwei Yu, “Improved geometric conditions for non-blowup of 3D Euler equations”, (Download).
    Communications in Partial Differential Equations, 31(2): 293-306, 2006. 
15. Jian Deng, Thomas Y. Hou, Xinwei Yu, “A level set formulation for the 3D incompressible Euler equations”, (Download).
    Methods and Applications of Analysis, 12(4): 427-440, 2005. 
16. Jian Deng, Thomas Y. Hou, Xinwei Yu, “Geometric properties and non-blowup of 3-D incompressible Euler flow”, (Download).
    Communications in Partial Differential Equations, 30(2): 225-243, 2005. 
17. Zhiping Li, Lungan Ying, Xinwei Yu, “Singular perturbation of a class of non-convex functionals”, (Download).
    Nonlinear Analysis: Theory, Methods, and Applications, 52(4): 1129-1152, 2003. 

Refereed Conference Proceedings

1. Yindi Jing, Xinwei Yu, "SVD-based channel estimation for MIMO relay networks", IEEE  VTC 2012. 
2. Jian Deng, Thomas Y. Hou, Xinwei Yu, “Localized non-blowup conditions for the 3D incompressible Euler equations”, Third International Congress of Chinese Mathematicians. Part 1, 2, 603–611, AMS/IP Stud. Adv. Math., 42, pt. 1, 2, Amer. Math. Soc., Providence, RI, 2008. (Download)

Book Chapters

1. Thomas Y. Hou and Xinwei Yu, “Introduction to the theory of incompressible inviscid flows”, Nonlinear conservation laws, fluid systems and related topics, 1–71, Ser. Contemp. Appl. Math. CAM, 13, World Sci. Publishing, Singapore, 2009.

Theses

• “Localized Non-blowup Conditions for 3D Incompressible Euler Flows and Related Equations”, Ph. D. thesis, California Institute of Technology, 2005. (Download)
• “Singular Perturbation of Non-convex Functionals and Microstructures with Surface Energy”, Master thesis, Peking University, 2000. (Download)

PIMS-AMI Seminars

I am the coordinator of the PIMS-AMI seminars of the Applied Mathematics Institute. A list of all departmental events can be found here.

Current Teaching (Fall 2012)

Teaching Experience

Graduate

• Intermediate PDE: Math 527 @ UofA (Fall 2008, Fall 2009, Fall 2010, Fall 2011,   )

Upper division

• Intermediate PDE: Math 436 @ UofA (Fall 2012,  )
• Introduction to PDE: Math 337 @ UofA (Winter 2009,  )
• Analysis: Math 314 @ UofA (Fall 2012,  )
  
• Optimization: Math 164 @ UCLA (Fall 2005, Summer 2006, Winter 2007, Fall 2007 )
• Linear Algebra: Math 115A @ UCLA (Spring 2006)

Lower division

• Differential Equations:
  
• Math 201 @ UofA (Winter 2010, Winter 2011 , Winter 2012 ,  )
• Math 334 @ UofA (Fall 2010, Fall 2011 ,   )
• Linear Algebra: Math 33A @ UCLA (Fall 2006)
• Finite Mathematics: Math 2 @ UCLA (Spring 2008)

Teaching experience @ Caltech

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Last updated: May 23, 2013