My papers and preprints can be found on arXiv and Google Scholar.

List of publications

Student or postdoctoral co-authors are indicated by an asterisk.

  1. PDE-Controller: LLMs for Autoformalization and Reasoning of PDEs , M. Soroco*, J. Song*, M. Xia*, K. Emond*, W. Sun and W. Chen, submitted, 2025.

  2. Crossover from ballistic transport to normal diffusion: a kinetic view, Z. Xue*, W. Sun, Z. Zhou and M. Tang, submitted, 2025.

  3. Uniform error estimate of an asymptotic preserving scheme for the Levy-Fokker-Planck equation, W. Sun and L. Wang, Math. Comp. 94, 681-725, 2025.

  4. Pickleball Flight Dynamics, K. Emond*, W. Sun and T. Swartz, International Journal of Racket Sports Science, 6(2), 1-8, 2025.

  5. Reconstruction of the Doping Profile in Vlasov-Poisson, R.-Y. Lai, Q. Li and W. Sun, Inverse Problems 40, 2024.

  6. De Giorgi argument for weighted $L2 \cap L^\infty$ solutions to the non-cutoff Boltzmann equation, R. Alonso, Y. Morimoto, W. Sun, T. Yang, J. Stat. Phys. 190, 38, 2023.

  7. Second-order diffusion limit for the phonon transport equation – asymptotics and numerics, A. Nair*, Q. Li, W. Sun, Partial Differ. Equ. Appl. 3, 38, 2022.

  8. Unique reconstruction of the heat-reflection indices at solid interfaces, Q. Li and W. Sun, SIAM J. Math. Anal. 54, 5742-5759, 2022.

  9. Zero-Diffusion Limit for Aggregation Equations Over Bounded Domains, R. Fetecau, H. Huang*, D. Messenger*, W. Sun, Discrete Continuous Dyn. Syst. 42, 4905-4936, 2022.

  10. Multiple Asymptotics of Kinetic Equations with Internal States, B. Perthame, W. Sun, M. Tang, and S. Yasuda, Math. Models Methods Appl. Sci. 30, 1041-1073, 2020.

  11. Applications of Kinetic Tools to Inverse Transport Problems, Q. Li and W. Sun, Inverse Problems 36, 2020.

  12. Uniqueness Of Solutions To A Gas-Disk Interaction System, A. Iatcenko* and W. Sun, Arch. Ration. Mech. Anal. 235, 2027–2053, 2020.

  13. Non-Cutoff Boltzmann Equation with Polynomial Decay Perturbation, R. Alonso, Y. Morimoto, W. Sun, and T. Yang, Revista Matematica Iberoamericana 37, 189–292, 2020.

  14. Propagation of Chaos for the Keller-Segel Equation Over Bounded Domains, R. Fetecau, H. Huang*, W. Sun, J. Differ. Equations 266, 2142-2174, 2019.

  15. The Fractional Diffusion Limit of a Kinetic Model with Biochemical Pathway, B. Perthame, W. Sun and M. Tang, Z. Angew. Math. Phys. 69:67, 2018.

  16. Fractional Diffusion Limits of Non-classical Transport Equations , M. Frank and W. Sun, Kinetic and Related Models 11, 1503-1526, 2018.

  17. Small inertia regularization of an anisotropic aggregation model , J. Evers*, R. Fetecau, W. Sun, Math. Models Methods Appl. Sci. 27, 1795-1842, 2017.

  18. Macroscopic Limits of pathway-based kinetic models for E.coli chemotaxis in large gradient environments , W. Sun and M. Tang, Multi. Model. Simul. 15, 797–826, 2017.

  19. A Convergent Method for Linear Half-Space Kinetic Equations , Q. Li, J. Lu, and W. Sun, ESAIM: M2AN 51, 1583–1615, 2017.

  20. Validity and Regularization of Classical Half-Space Equations , Q. Li, J. Lu, and W. Sun, J. Stat. Phys. 166, 398–433, 2017.

  21. Half-space kinetic equations with general boundary conditions , Q. Li, J. Lu, and W. Sun, Math. Comp. 86, 1269-1301, 2017.

  22. First-order aggregation models with alignment , R. Fetecau, W. Sun, and C. Tan, Physica D: Nonlinear Phenomena 325, 146-163, 2016.

  23. First-order aggregation models and zero inertia limits , R. Fetecau and W. Sun, J. Differ. Equations 259, 6774-6802, 2015.

  24. The Radiative Transfer Equation in the Forward-Peaked Regime , R. Alonso and W. Sun, Comm. Math. Phys. 338, 1233–1286, 2015.

  25. Diffusion Approximations of Linear Transport Equations: Asymptotics and Numerics , Q. Li, J. Lu, and W. Sun, J. Comput. Phys. 292, 141-167, 2015.

  26. Singular limit of a dispersive Navier-Stokes system with an entropy structure , C. D. Levermore, W. Sun, and K. Trivisa, Analysis and Applications 13, 77-99, 2015.

  27. A relaxation method for one dimensional traveling waves of singular and nonlocal equations . W. Sun and M Tang, Discrete and Continuous Dynamical System-B, no. 5, 1459-1491, 2013.

  28. On a singular incompressible porous media equation , S. Friedlander, F. Gancedo, W. Sun, and V. Vicol, Journal of Mathematical Physics 53, no. 11, 115602, 1-20, 2012.

  29. A Low Mach number limit of a dispersive Navier-Stokes system , C. David Levermore, W. Sun, and K. Trivisa, SIAM J. Math. Anal., 44(3), 1760–1807, 2012.

  30. Remarks on Oldroyd-B and Related Complex Fluid Models , P. Constantin and W. Sun, Communications in Mathematical Sciences, Vol 10, 33-73, 2012.

  31. Local well-posedness of a dispersive system beyond Navier-Stokes, C. D. Levermore and W. Sun, Indiana Univ. Math. J. 60, no. 2, 517–576, 2011.

  32. Compactness of the gain part of the linearized Boltzmann operator with weakly cutoff kernels , C. D. Levermore and W. Sun, Kinetic and Related Models, Vol 3, Issue 2, 335-351, 2010.

Feature image: My office with peonies from a colleague’s backyard