Weiran Sun
Professor
Research Interests:
My research, in a broad sense, are in the areas of applied analysis and partial differential equations. My recent interest is more focused on kinetic theory with models arising from physics and biology.
Publications and Preprints:
Reconstruction of the Doping Profile in Vlasov-Poisson, R.-Y. Lai, Q. Li and W. Sun, accepted, Inverse Problems, 2024.
Uniform error estimate of an asymptotic preserving scheme for the Levy-Fokker-Planck equation, W. Sun and L. Wang, accepted, Math. Comp., 2024.
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.
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.
Unique reconstruction of the heat-reflection indices at solid interfaces, Q. Li and W. Sun, SIAM J. Math. Anal. 54, 5742-5759, 2022.
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.
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.
Applications of Kinetic Tools to Inverse Transport Problems, Q. Li and W. Sun, Inverse Problems 36, 2020.
Uniqueness Of Solutions To A Gas-Disk Interaction System, A. Iatcenko and W. Sun, Arch. Ration. Mech. Anal. 235, 2027–2053, 2020.
Non-Cutoff Boltzmann Equation with Polynomial Decay Perturbation, R. Alonso, Y. Morimoto, W. Sun, and T. Yang, Revista Matematica Iberoamericana 37, 189–292, 2020.
Propagation of Chaos for the Keller-Segel Equation Over Bounded Domains, R. Fetecau, H. Huang, W. Sun, J. Differ. Equations 266, 2142-2174, 2019
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.
Fractional Diffusion Limits of Non-classical Transport Equations , M. Frank and W. Sun, Kinetic and Related Models 11, 1503-1526, 2018.
Small inertia regularization of an anisotropic aggregation model , J. Evers, R. Fetecau, W. Sun, Math. Models Methods Appl. Sci. 27, 1795-1842, 2017.
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.
A Convergent Method for Linear Half-Space Kinetic Equations , Q. Li, J. Lu, and W. Sun, ESAIM: M2AN 51, 1583–1615, 2017.
Validity and Regularization of Classical Half-Space Equations , Q. Li, J. Lu, and W. Sun, J. Stat. Phys. 166, 398–433, 2017.
Half-space kinetic equations with general boundary conditions , Q. Li, J. Lu, and W. Sun, Math. Comp. 86, 1269-1301, 2017.
First-order aggregation models with alignment , R. Fetecau, W. Sun, and C. Tan, Physica D: Nonlinear Phenomena 325, 146-163, 2016.
First-order aggregation models and zero inertia limits , R. Fetecau and W. Sun, J. Differ. Equations 259, 6774-6802, 2015.
The Radiative Transfer Equation in the Forward-Peaked Regime , R. Alonso and W. Sun, Comm. Math. Phys. 338, 1233–1286, 2015.
Diffusion Approximations of Linear Transport Equations: Asymptotics and Numerics , Q. Li, J. Lu, and W. Sun, J. Comput. Phys. 292, 141-167, 2015.
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.
A relaxation method for one dimensional traveling waves of singular and nonlocal equations . W. Sun and M Tang, Discrete and Continuous Dynamical System-B (2013), no. 5, 1459-1491.
On a singular incompressible porous media equation , S. Friedlander, F. Gancedo, W. Sun, and V. Vicol, Journal of Mathematical Physics 53 (2012), no. 11, 115602, 1-20.
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), (2012) 1760–1807.
Remarks on Oldroyd-B and Related Complex Fluid Models , P. Constantin and W. Sun, Communications in Mathematical Sciences, Vol 10, (2012), 33-73.
Local well-posedness of a dispersive system beyond Navier-Stokes, C. D. Levermore and W. Sun, Indiana Univ. Math. J. 60 (2011), no. 2, 517–576.
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, (2010), 335-351.
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