Current Teaching (Fall 2023, eClass)

Professional Experience

• 07/2023 -- Now. Professor, Mathematical and Statistical Sciences, University of Alberta, Edmonton, Canada.
• 01/2017 -- Now. Director of the AMI.
  
• 07/2014 -- 06/2023. Associate Professor, Mathematical and Statistical Sciences, University of Alberta, Edmonton, Canada.
• 07/2008 – 06/2014. 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; Wireless Communication; Mathematical epidemiology.

Publications

Journal

1. Yindi Jing, Xinwei Yu, Shahram ShahbazPanahi, "Interleaved Training Scheme for Multi-User Massive MIMO Downlink with User SINR Constraint", IEEE Transactions on Communications ( Early Access ), DOI: 10.1109/TCOMM.2023.3292485.
   
2. Yindi Jing, Tsang-Yi Wang, Xinwei Yu, "A blind distributed spectrum sensing scheme with homogeneity test", IEEE Transactions on Wireless Communications, Volume 21, Issue 9, 7506-7520. DOI: 10.1109/TWC.2022.3159101.
   
3. Chuong V. Tran, Xinwei Yu, David G. Dritschel, "Velocity–pressure correlation in Navier–Stokes flows and the problem of global regularity", Journal of Fluid Mechanics , Volume 911 , 25 March 2021 , A18, DOI: https://doi.org/10.1017/jfm.2020.1033.
   
4. Pedro Reyero, Xinwei Yu, Carlos Ocampo-Martinez, Richard D Braatz, "A Reduced-order Model for Real-time NMPC of Ethanol Steam Reformers", IFAC-PapersOnLine, Volume 54, Issue 3, 2021, Pages 103-108. https://doi.org/10.1016/j.ifacol.2021.08.226.
   
5. Zeyu Sun, Yindi Jing, Xinwei Yu, "NOMA Design With Power-Outage Tradeoff for Two-User Systems", IEEE Wireless Communications Letters, Volume: 9, Issue: 8, August 2020,Page(s): 1278 - 1282. DOI: 10.1109/LWC.2020.2987992 .
   
6. Benjamin Pineau, Xinwei Yu, "On Prodi–Serrin type conditions for the 3D Navier–Stokes equations", Nonlinear Analysis, Volume 190, January 2020, 111612. https://doi.org/10.1016/j.na.2019.111612.
   
7. Chuong V. Tran, Xinwei Yu, "A Geometrical Regularity Criterion in Terms of Velocity Profiles for the Three-Dimensional Navier–Stokes Equations", The Quarterly Journal of Mechanics and Applied Mathematics, Volume 72, Issue 4, November 2019, Pages 545–562, https://doi.org/10.1093/qjmam/hbz018
   
8. Benjamin Pineau, Xinwei Yu, "A new Prodi-Serrin type regularity criterion in velocity directions", J. Math. Fluid Mech., 2018, 10.1007/s00021-018-0388-z.
   
9. Chuong V. Tran, Xinwei Yu, "Note on Prodi-Serrin-Ladyzhenskaya type regularity criteria for the Navier-Stokes equations", JMP, 58(1): 011501. DOI: 10.1063/1.4974020
   
10. Chuong V. Tran, Xinwei Yu. "Regularity of Navier-Stokes flows with bounds for the pressure", Applied Math. Lett. 67, 21--27, May 2017. http://dx.doi.org/10.1016/j.aml.2016.10.006.
    
11. Chuong V. Tran, Xinwei Yu, "Pressure moderation and effective pressure in Navier-Stokes flows", Nonlinearity 29 (10), 2990--3005, 2016. doi:10.1088/0951-7715/29/10/2990.
    
12. Chuong V. Tran, Xinwei Yu, "Logarithmic improvement of regularity criteria for the Navier-Stokes equations in terms of pressure", Applied Math. Lett. 58, 62--68, 2016. Link. 
13. Mohammad A. Niksirat, Xinwei Yu, "Note on stationary solutions of the 2D Doi-Onsager model", JMAA 430, 152--165, 2015, doi:10.1016/j.jmaa.2015.04.083, http://arxiv.org/abs/1503.01477.
    
14. Chuong V. Tran, Xinwei Yu, "On regularity of the three-dimensional Navier-Stokes equations", Nonlinearity 28 (5), 1295--1306, 2015. doi:10.1088/0951-7715/28/5/1295.
    
15. Dong Li, Xinwei Yu, "On some Liouville type Theorems for the compressible Navier-Stokes equations". DCDS-A . arXiv:1209.3718.
16. Dong Li, Xinwei Yu, Zhichun Zhai, "On the Euler-Poincare equation with non-zero dispersion". Arch. Ration. Mech. Anal. December 2013, Volume 210, Issue 3, pp 955-974, 10.1007/s00205-013-0662-4.  arXiv:1212.4203.
    
17. 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.
18. 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
    
19. 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
    
20. 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.
    
21. 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.
    
22. 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.
23. 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
24. 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.
25. 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.
26. 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
27. 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. 
28. 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. 
29. 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. 
30. 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. 
31. 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. 
32. 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. 
33. 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, Tsang-Yi Wang, Xinwei Yu, "Blind distributed spectrum sensing with binary local decisions through the maximum energy indicator", ICC 2022-IEEE International Conference on Communications, 2120-2125.
   
2. Yindi Jing, Shahram ShahbazPanahi, Xinwei Yu, "SINR-Based Interleaved Training Design for Multi-User Massive MIMO Downlink with MRT", ICC 2022-IEEE International Conference on Communications
   Pages 237-242.
   
3. Tao Cui, Qian Wang, Yindi Jing, and Xinwei Yu. "SVD-Based Estimation for Reduced-Rank MIMO Channel". IEEE International Symposium on Information Theory (ISIT) 2014.
   
4. Yindi Jing, Xinwei Yu, "SVD-based channel estimation for MIMO relay networks", IEEE  VTC 2012. 
5. 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. Chuong V. Tran, Xinwei Yu, "Regularity of Navier-Stokes flows with bounds for the velocity gradient along the streamlines and an effective pressure", in Partial Differential Equations in Fluid Mechanics, Charles L. Fefferman, James C. Robinson, and Jose L. Rodrigo, eds., Cambridge University Press, 2018.
   
2. 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.

Teaching Experience

Graduate

• Intermediate PDE: Math 527 @ UofA (Fall 2008, Fall 2009, Fall 2010, Fall 2011, Fall 2018, Fall 2019, Fall 2020, Fall 2021)
• Techniques of Applied Mathematics: Math 538 @ UofA (Winter 2024)
• Fourier Analysis: Math 542 @ UofA (Winter 2021)
  

Undergraduate

• Calculus
• Calculus II: Math 115 @ UofA (Winter 2018, )
• Calculus for Engineering III: Math 209 @ UofA (Fall 2023)
  
• Analysis: Math 314 @ UofA (Fall 2012, Fall 2013,  )
• Honors Calculus: Math 117 - 118 @ UofA (Fall 2014 - Winter 2015, )
  
• Honors Advanced Calculus I: Math 217 @ UofA (Fall 2013,)
• Honors Advanced Calculus II: Math 317 @ UofA (Winter 2014, Winter 2017, )
  
• Differential Equations
• Intermediate PDE: Math 436 @ UofA (Fall 2012,  Fall 2020, )
• Introduction to PDE: Math 337 @ UofA (Winter 2009,  )
• Math 336 @ UofA (Winter 2019, Winter 2020, Winter 2021)
  
• Math 201 @ UofA (Winter 2010, Winter 2011 , Winter 2012 ,  )
• Math 334 @ UofA (Fall 2010, Fall 2011 , )
• Differential Geometry
• Math 348 @ UofA (Fall 2016 ,  Fall 2017, Fall 2018)
• Finite Mathematics
  
• Math 2 @ UCLA (Spring 2008)
• Math 421 @ UofA (Winter 2017, )
  
• Linear Algebra
• Math 225 @ UofA (Winter 2024)
  
• Math 115A @ UCLA (Spring 2006)
• Math 33A @ UCLA (Fall 2006)
• Optimization
• Math 164 @ UCLA (Fall 2005, Summer 2006, Winter 2007, Fall 2007 )
• Other undergraduate teachings
• Math 497 @ UofA (Fall 2016, Winter 2018)
  

Teaching experience @ Caltech

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Last updated: Aug. 29, 2023.