Institute of Natural Sciences, and School of Mathematical Sciences Shanghai Jiao Tong University #315, Build. No.5, Science Buildings No. 800 Dongchuan Road, Minhang District, Shanghai 200240, China
Phone: (+86) 21 5474 2921 Email: haitallica@sjtu.edu.cn and haitaowang.math@gmail.com
Kinetic Theory
Viscous Conservation Laws
Mathematical Physics
Professor, Institute of Natural Sciences & School of Mathematical Sciences, Shanghai Jiao Tong University, Jan 2024-Present
Associate Professor (with tenure), INS & SMS, SJTU, Jul 2023-Present
Associate Professor (tenure-track), INS & SMS, SJTU, Jul 2017-June 2023
Postdoctoral Fellow, Institute of Mathematics, Academia Sinica, May 2015–Jun 2017 Mentor: Prof. Tai-Ping Liu
Ph.D. in Mathematics, National University of Singapore, Singapore, Aug 2010-Feb 2015 Advisor: Prof. Shih-Hsien Yu
B.S. in Mathematics, Shanghai Jiao Tong University, Shanghai, Sep 2006–Jul 2010
B.S. in Physics (2nd major), Shanghai Jiao Tong University, Shanghai, Sep 2006–Jul 2010
H. Wang and K.-C. Wu: Solving linearized Landau equation pointwisely, to appear in Bull. Inst. Math. Acad. Sin. (N.S.).
Y.-C. Lin, H. Wang, and K.-C. Wu: Space-time structure and particle-fluid duality of solutions for Boltzmann equation with hard potentials, Arch. Ration. Mech. Anal., 249:75 (2025).
Q. Shao, H. Wang: A refined estimate of Green's function for Boltzmann equation, Kinet. Relat. Models, 19 (2026), 64-94.
Y.-C. Lin, H. Wang, and K.-C. Wu: Stability of background perturbation for Boltzmann equation, J. Math. Pures Appl., 204 (2025), Paper No. 103762.
H. Wang, S.-H. Yu, and X. Zhang: Compressible Navier-Stokes equation with BV initial data. Part II. Global stability, Bull. Inst. Math. Acad. Sin. (N.S.), 19 (2024), no.4, 251-364.
H. Wang, S.-H. Yu, and X. Zhang: Lamb's Problem, Bull. Inst. Math. Acad. Sin. (N.S.), 19 (2024), no.3, 213-240.
Y.-C. Lin, H. Wang, and K.-C. Wu: Mixture estimate in fractional sense and its application to the well-posedness of the Boltzmann equation with very soft potential, Math. Ann., 387 (2023), no. 3-4, 2061–2103.
H. Wang and X. Zhang: Regularity and uniqueness of the weak solution to isentropic compressible Navier-Stokes equation with BV initial data, Acta Math. Sci. Ser. B, 43 (2023), no. 4, 1675–1716.
H. Wang and X. Zhang: Propagation of rough initial data for Navier-Stoke equation, SIAM J. Math. Anal., 55 (2023), no. 2, 966–1006.
H.-L. Li, H. Tang, and H. Wang: Pointwise wave behavior of the non-isentropic compressible Navier-Stokes equations in half space, Commun. Math. Sci., 21 (2023), no. 3,795–827.
H. Wang, S.-H. Yu, and X. Zhang: Global well-posedness of compressible Navier-Stokes equation with
H.-L. Li, H. Tang, and H. Wang: Pointwise estimates of the solution to one dimensional compressible Navier-Stokes equations in half space, Discrete Contin. Dyn. Syst., 42 (2022), no. 6, 2603–2636.
Y.-C. Lin, M.-J. Lyu, H. Wang, and K.-C. Wu: Space-time behavior of the Boltzmann equation with soft potentials, J. Differential Equations, 322 (2022), 180–236.
Y.-C. Lin, H. Wang, and K.-C. Wu: Spatial behavior of the solution to the linearized Boltzmann equation with hard potentials, J. Math. Phys., 61 (2020), no. 2, 021504, 19 pp.
Y.-C. Lin, H. Wang, and K.-C. Wu: Explicit structure of the Fokker-Planck equation with potential, Quart. Appl. Math., 77 (2019), no. 4, 727–766.
Y.-C. Lin, H. Wang, and K.-C. Wu: Smoothing effects and decay estimate of the solution of the linearized two species Landau equation, Commun. Math. Sci., 16 (2018), no. 8, 2261–2300.
L. Du and H. Wang: Pointwise wave behavior of the Navier-Stokes equations in half space, Discrete Contin. Dyn. Syst., 38 (2018), no. 3, 1349–1363.
Y.-C. Lin, H. Wang, and K.-C. Wu: Quantitative pointwise estimate of the solution of the linearized Boltzmann equation, J. Stat. Phys., 171 (2018), no. 5, 927–964.
T.-P. Liu and H. Wang: Viscous scalar rarefaction wave, SIAM J. Math. Anal., 49 (2017), no. 3, 2061–2100.
H. Wang and S.-H. Yu: Algebraic-complex scheme for Dirichlet-Neumann data for parabolic system, Arch. Ration. Mech. Anal., 211 (2014), no. 3, 1013–1026.
S. Li, H. Wang, and J. Yang: Global well-posedness for one-dimensional compressible Navier--Stokes system in dynamic combustion with small
S. Jin, Q. Shao, and H. Wang: Time-asymptotic behavior of the Boltzmann equation with random inputs in whole space and its stochastic Galerkin approximation, arXiv:2512.07735.
H.-T. Chang, H. Wang, and K.-C. Wu: Time-asymptotic expansion and fluid approximation of the 1D Boltzmann equation with hard potentials, submitted.
Y.-C. Lin, H. Wang, and K.-C. Wu: 3D hard sphere Boltzmann equation: explicit structure and the transition process from polynomial tail to Gaussian tail, arXiv:2408.02183.
Lecturer, Mathematical Analysis I (Honors) (6 credits), Fall 2025, Fall 2024, Fall 2023, Fall 2022
Lecturer, Mathematical Analysis II (Honors) (4 credits), Spring 2026, Spring 2025, Spring 2024, Spring 2023, Spring 2022
Lecturer, Mathematical Analysis III (Honors) (4 credits), Fall 2021
Lecturer, Introduction to Fluid Mechanics (3 credits), Fall 2021, Fall 2020
Lecturer, Mathematical Analysis II (4 credits), Spring 2021, Spring 2020
Lecturer, Mathematical Analysis III (4 credits), Fall 2020
Lecturer, Mathematical Analysis I (6 credits), Fall 2019
Lecturer, Multivariable Calculus (4 credits), Spring 2019
Lecturer, Single Variable Calculus (5 credits), Fall 2018
Co-Lecturer, Nonlinear Evolutionary Equations (3 credits), Fall 2018
Lecturer, Calculus II (4 credits), Spring 2018
Tutor, Calculus I (6 credits, Tutorial Class), Fall 2017
Tutorial Class, MA 1505 (Mathematics for Engineering I), Fall 2014
Tutorial Class, MA 1506 (Mathematics for Engineering II), Spring 2014
Tutorial Class, MA 4221 (Partial Differential Equations), Fall 2013
Tutorial Class, MA 1101R (Linear Algebra I), Spring 2013
Tutorial Class, CS 1231 (Discrete Structures), Spring 2012
Reviewer for Arch. Ration. Mech. Anal., J. Math. Pures Appl., SIAM J. Math. Anal., Acta Appl. Math., Acta Math. Sci., Bull. Inst. Math. Acad. Sin. (N.S.), Commun. Pure Appl. Anal., Kinet. Relat. Models, Internat. J. Math., Math. Methods Appl. Sci., Multiscale Model. Simul., Netw. Heterog. Media, Nonlinear Anal., Res. Math. Sci., Z. Angew. Math. Phys. . . .