BEN'S HOMEPAGE

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Hedong HOU

I am currently a Postdocral Researcher in the Mathematical Fluid Dynamics Group of Westlake University, working with Alexey CHESKIDOV.

Before, I obtained my Ph.D. from Laboratoire de Mathématiques d’Orsay of Université Paris-Saclay. My advisor was Prof. Pascal AUSCHER.

My research interest is on harmonic analysis and the Navier-Stokes equations. I am also interested in microlocal analysis and its applications in dynamical systems.

I have “OCD” (obsessive coffee disorder). I work on mathematics in the spare time of drinking coffee.

My Chinese name is 侯贺冬(HOU He Dong). I am also happy to be called “Ben” as my nickname.

‼️ I am ONLY topologically homotopic to a pallas’s cat! (conjectured by Yang TIAN and proved by myself)

Contacts

Professional email address: houhedong (at) westlake (dot) edu (dot) cn.

Professional address:
Bureau E14-409B, Institute for Theoretical Sciences
600 Dunyu Road, Westlake University
Xihu District
310030 Hangzhou, Zhejiang
China

Employment

Education

Teaching experience

  1. September 2024 – January 2025: École polytechnique. Teaching Assistant for FMA_2F002_EP “Topology and Multivariable Calculus”. 56h.
  2. February – June 2024: École polytechnique. Teaching assistant for MAA105 “Integral and Differential Calculus”. 56h.
  3. February – June 2021: Tsinghua University. Teaching assistant for Calculus(A)-2. 60h.
  4. September 2017 – June 2021: Tsinghua University. Volunteer in Q&A Room and Teaching-Assistant Program. 815.25h.

Selected awards and honours

  1. Outstanding Bachelor Thesis. Tsinghua Unviersity. 2021.
  2. National Scholarship. Ministry of Education of the P.R.C.. 2017.

Membership

Publications

  1. On regularity of solutions to the Navier–Stokes equation with initial data in $\mathrm{BMO}^{-1}$. SIAM Journal on Mathematical Analysis 57, 6, pp.6089-6102 (2025). DOI: 10.1137/24M1719487. arXiv: 2410.16468.
  2. On well-posedness for parabolic Cauchy problems of Lions type with rough initial data. Joint with Pascal Auscher. Mathematische Annalen 392, pp.4221–4282 (2025). DOI:10.1007/s00208-025-03149-y. arXiv: 2406.15775.
  3. On well-posedness and maximal regularity for parabolic Cauchy problems on weighted tent spaces. Joint with Pascal Auscher. Journal of Evolution Equations 25, 16 (2025). DOI: 10.1007/s00028-024-01041-x. arXiv: 2311.04844.
  4. On representation of solutions to the heat equation. Joint with Pascal Auscher. Comptes Rendus Mathématiques Vol.362 (2024), pp.761-768. DOI: 10.5802/crmath.593. arXiv: 2310.19330.
  5. Some results on incorrigible sets of binary linear codes. Joint with Haiyang Liu and Lianrong Ma. IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences E104.A (2). Feburary 2021. DOI: 10.1587/transfun.2020EAL2021.

Preprints

  1. On non-uniqueness of mild solutions and stationary singular solutions to the Navier-Stokes equations. Joint with Alexey Cheskidov. arXiv: 2603.03666.
  2. On well-posedness for non-autonomous parabolic Cauchy problems with rough initial data. arXiv: 2505.09387.

Conference Talks

  1. Conference on Mathematical Fluid Dynamics. 22 July 2026. Westlake University and Feishu Institute, China.
  2. Singularities, non-uniqueness and complex dynamics of incompressible fluids. 2 June 2026. University of Bath, UK.
  3. 8th Workshop on Mathematical Fluid Dynamics. 9 May 2026. Westlake University, China.
  4. Tsinghua Reunion Workshop II. 29 June 2025. Tsinghua University, China.
  5. Harmonic Analysis and Fluid Flow. 19 June 2025. Karlsruhe, Germany.
  6. 12th International Conference on Harmonic Analysis and Partial Differential Equations. 10 June 2025. El Escorial, Spain.
  7. Mathematics of fluids in motion: Recent results and trends. 12 Nov 2024. CIRM, Marseille, France.
  8. 1ère Rencontres d’Anaïs (Réseau Thématique ANAlyse et InteractionS). 04 Nov 2024. Créteil, France.
  9. Tsinghua Reunion Workshop. 22 July 2024. Tsinghua University, China.
  10. Recent advances in Harmonic Analysis, Satellite conference of 9th European Congress of Mathematics. 11 July 2024. Malaga, Spain.
  11. Summer School on Harmonic Analysis in Harbin. 04 July 2024. Harbin Institute of Technology, China.
  12. Oberwolfach Seminar 2343a: Recent Topics on the Navier-Stokes Equations. 24 Oct 2023. Oberwolfach, Germany.

Mini-courses

  1. Introduction to convex integration. 17-19 Mar 2026. Westlake University, China.
  2. Regularity of solutions to the Navier-Stokes equation with initial data in $\mathrm{BMO}^{-1}$. 11,15,24 Sep 2025. Westlake University, China.

Seminar Talks

  1. Harmonic Analysis Seminar. 28 Jan 2026. Zhejiang University of Technology, China.
  2. ITS Postdoctoral Seminar. 18 Nov 2025. Westlake University, China.
  3. Junior Analysis Seminar. 25 June 2025. Imperial College London, UK.
  4. Séminaire d’analyse. 12 Dec 2024. Laboratoire de Mathématiques et Modélisation d’Évry, France.
  5. Groupe de Travail des Thésard.e.s du LJLL. 06 Nov 2024. Sorbonne Université, France.
  6. Séminaire ANEDP. 20 June 2024. Institut de Mathématique d’Orsay, France.
  7. Analysis and Probability Seminar. 21 May 2024. University of Gothenburg and Chalmers University of Technology, Sweden.
  8. Research Seminar of Workgroup Functional Analysis. 07 May 2024. Karlsruher Institut für Technologie, Germany.
  9. Séminaire d’analyse du Laboratoire de Mathématiques Jean Leray. 19 Feb 2024. Université de Nantes, France.
  10. Groupe de Travail des Thésard.e.s du LJLL. 10 Oct 2023. Sorbonne Université, France.

Visit

  1. Imperial College London. May 2026.
  2. Institut de Mathématiques d’Orsay, École polytechnique, Université Paris-Cité, France. Jan 2026.
  3. TU Delft, Netherlands. Jan 2026.

Thesis

  1. Boundedness of operators on tent spaces and applications to PDE’s. July 2025.
    Doctoral Thesis. Supervised by Pascal AUSCHER.
    HAL. PDF.
    Defense jury: Patrick GÉRARD (chair), Pascal AUSCHER (supervisor), Raphaël DANCHIN (reviewer), Dorothee FREY (reviewer), Isabelle GALLAGHER, Sylvie MONNIAUX.
  2. Fundamental properties of tent spaces on Euclidean spaces and spaces of homogeneous type. July 2022.
    Master Thesis. Supervised by Pascal AUSCHER.
    Defense jury: Pascal AUSCHER (chair, supervisor), Isabelle GALLAGHER.
  3. Applications of elliptic curves over finite fields in coding. June 2021.
    Bachelor Thesis with mention “Outstanding”. Supervised by Prof. Lianrong MA.
    PDF. In Chinese.
    Defense jury: Hongyan TANG (chair), Yuxiang LI, and Lianrong MA (supervisor).

Support

I will update scanned copies of some important papers with only paper version available before. All of the following papers are scanned by myself without special mention. By downloading these papers, it is regarded as default that you permit that it must be restriced to be utilised for academic research, without any commerical or other purpose.

  1. Compensated compactness and Hardy spaces. R. Coifman, P.-L. Lions, Y. Meyer, and S. Semmes. Journal de Mathématiques pures et appliquées, 72 (1993). p. 247 à 286. PDF. Supported by Bibliothèque d’Institut Henri Poincaré.

  2. Some results on complex interpolation of $T^p_q$ spaces. A. Bernal. Isarel Mathematical Conference Proceedings. Interpolation spaces and Related Topics. Vol.5. Bar-Ilan University, Ramat-Gan, Israel: IMCP, 1992, pp. 1-10. PDF. Supported by Bibliothèque d’Institut Henri Poincaré.

Here are some homepages of my dearest friends.

Jinyuan LIU: He said that Jinyuan is not working hard enough, please click the LINK to push him.

China-Paris Mafia: Zhe CHEN, Zuodong WANG, Jiasheng LIN, Tianqi WANG, Yilin YE, Xi CHEN, Haocheng YANG, Yuanyang JIANG.

Teaching and Research Bureau - Paris Rive Gauche: Zhe CHEN, Haoliang XIANG, Qimeng ZHU.

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Last updated: 31 July 2026.