Haitao Wang (王海涛) - 上海交通大学

个人简介

Employment Tenure-Track Associate Professor, Institute of Natural Sciences & School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai, Jul 2017-Present Postdoctoral Fellow, Institute of Mathematics, Academia Sinica, Taipei,May 2015–Jun 2017 Advisor: Prof. Tai-Ping Liu Education 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 Preprints H. Wang and K.-C. Wu: Solving linearized Landau equation pointwisely, arXiv:1709.00839. H. Wang, S.-H. Yu, and X. Zhang: Compressible Navier-Stokes equation with BV initial data: Part II. Global stability, arXiv:2111.10051, Not intended for publication. Teaching Shanghai Jiao Tong University Lecturer, Mathematical Analysis II (Honors) (4 credits), Spring 2023 Lecturer, Mathematical Analysis I (Honors) (6 credits), Fall 2022 Lecturer, Mathematical Analysis II (Honors) (4 credits), Spring 2022 Lecturer, Mathematical Analysis III (Honors) (4 credits), Fall 2021 Lecturer, Introduction to Fluid Mechanics (3 credits), Fall 2021 Lecturer, Mathematical Analysis II (4 credits), Spring 2021 Lecturer, Mathematical Analysis III (4 credits), Fall 2020 Lecturer, Introduction to Fluid Mechanics (3 credits), Fall 2020 Lecturer, Mathematical Analysis II (4 credits), Spring 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 National University of Singapore 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 Referee 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. . . .

研究领域

Kinetic Theory Viscous Conservation Laws Mathematical Physics

近期论文

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Kinetic Theory 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. (2022). 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. 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. Fluid Dynamics H. Wang and X. Zhang: Propagation of rough initial data for Navier-Stoke equation, to appear in SIAM J. Math. Anal. H. Wang and X. Zhang: Regularity and uniqueness of the weak solution to isentropic compressible Navier-Stokes equation with BV initial data, to appear in Acta Math. Sci. 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 $BV\cap L^1$ initial data, Arch. Ration. Mech. Anal., 245 (2022), no. 1, 375–477. 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. 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. 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.