U Penn Tak Kwong WONG

Research Interest :

  Nonlinear Partial Differential Equations

  Fluid Dynamics

  Analysis

Following are some published papers, as well as preprints.


Title Journal Link 1 Link 2
Axisymmetric flow of ideal fluid moving in a narrow domain: a study of the axisymmetric hydrostatic Euler equations. J. Differential Equations 260 (2016), no. 5, 4619-4656.
with Robert M. Strain
J. Differential Equations arXiv
Local-in-Time Existence and Uniqueness of Solutions to the Prandtl Equations by Energy Methods. Comm. Pure Appl. Math. 68 (2015), 1683-1741.
with Nader Masmoudi
Comm. Pure Appl. Math. arXiv
Blowup of solutions of the hydrostatic Euler equations. Proc. Amer. Math. Soc. 143 (2015), 1119-1125.
Proc. Amer. Math. Soc. arXiv
Long time solutions for a Burgers-Hilbert equation via a modified energy method. Proc. Amer. Math. Soc. 143 (2015), 3407-3412.
with John K. Hunter, Mihaela Ifrim, and Daniel Tataru
Proc. Amer. Math. Soc. arXiv
On the Local Well-posedness of the Prandtl and Hydrostatic Euler Equations with Multiple Monotonicity Regions. SIAM J. Math. Anal. 46 (2014), no. 6, 3865-3890.
with Igor Kukavica, Nader Masmoudi, and Vlad Vicol
SIAM J. Math. Anal. arXiv
On the Hs theory of hydrostatic Euler equations. Arch. Ration. Mech. Anal. 204 (2012), no. 1, 231-271.
with Nader Masmoudi
Arch. Ration. Mech. Anal.