Mailing Address The Watson Building
 University of Birmingham
 Edgbaston
 Birmingham
 B15 2TT
 UK
Research Interest: Analysis Group at UoB Nonlinear Partial Differential Equations and Harmonic Analysis. In particular, the study of nonlinear dispersive PDEs such as nonlinear Schrödinger equations, nonlinear wave equations, and the KdV equation by using techniques from PDEs, Harmonic Analysis, and Probability theory. Mainly, wellposedness (existence, uniqueness, and stability of solutions) in both deterministic and probabilistic settings, existence of invariant measures, Strichartz estimates in different settings, etc. Also, interested in Fourier restriction theory and decoupling theory. Seminars: Analysis seminar at UoB
Papers:
 (with R. Mosincat, O. Pocovnicu, L. Tolomeo) Global wellposedness of threedimensional periodic stochastic nonlinear beam equations.
 (with T. Oh, N. Tzvetkov) Invariance of the white noise for the cubic fourth order nonlinear Schrödinger equation on the circle.
 (with T. Oh) Global wellposedness of the periodic cubic fourth order NLS in negative Sobolev spaces. arXiv:1707.02013.
 (with T. Oh) On the illposedness of the cubic nonlinear Schrödinger equation on the circle to appear in An. Ştiinţ. Univ. Al. I. Cuza Iaşi. Mat. (N.S.)
 (with J. Xiao) A Liouville problem for the stationary fractional NavierStokesPoisson system. J. J. Math. Fluid Mech. (2017). https://doi.org/10.1007/s0002101703309
 (with Z. Guo, Y. Sire, L. Zhao) On the energycritical fractional Schrödinger equation in the radial case. arXiv:1310.6816.
 (with J. Xiao) Well/illposedness for the dissipative NavierStokes system in generalized Carleson measure spaces, Adv. Nonlinear Anal. https://doi.org/10.1515/anona20160042
 (with J. Xiao) A constructive approach to positive solutions of $\Delta_p f + f(u) \le 0$ on Riemannian manifolds, Ann. Inst. H. Poincaré Anal. Non Linéaire 33 (2016), no. 6, 14971507.
 (with J. Xiao) A uniqueness principle for $u^p \le (\Delta)^{\alpha} u$ in the Euclidean space, Commun. Contemp. Math. 18 (2016), no. 6, 1650019, 17 pp.
 (with Y. Liu, J. Xiao) Nonnegative solutions of a fractional subLaplacian differential inequality on Heisenberg group, Dyn. Partial Differ. Equ. 12 (2015), no. 4, 379403.
 (with J. Xiao) Homogeneous CampanatoSobolev classes, Appl. Comput. Harmon. Anal. 39 (2015), no. 2, 214247.
 (with Z. Guo, T. Oh) Strichartz estimates for Schrödinger equations on irrational tori, Proc. Lond. Math. Soc. 109 (2014), no. 4, 9751013.
 (with Z. Guo) Improved Strichartz estimates for a class of dispersive equations in the radial case and their applications to nonlinear Schrödinger and wave equations. J. Anal. Math. 124 (2014), 138.
 (with L. Molinet) Dispersive limit from the Kawahara to the KdV equation, J. Differential Equations 255, (2013), 21962219.

Periodic nonlinear Schrödinger equation in critical $H^s(\T^d)$ space, SIAM J. Math. Anal. 45, (2013), 16911703.

Periodic Cubic Hyperbolic Schrödinger equation on $H^s(\T^2)$, J. Funct. Anal. 265 (2013), 424434.

Local wellposedness for hyperbolicelliptic Ishimori equation, Nonlinear Anal. 75 (2012), 25342541.

Quadratic dispersive generalized BenjaminOno equation, J. Math. Anal. Appl. 387 (2012), 844856.

Global wellposedness and scattering for derivative Schrödinger equation, Comm. Partial Differential Equations 36 (2011), 16941722.
 (with Z. Guo, L. Peng, B. Wang) Uniform wellposedness and inviscid limit for the BenjaminOnoBurgers equation, Adv. in Math. 228 (2011), 647677.
 (with Z. Guo) On the wellposedness of the SchrödingerKdV system, J. Differential Equations 249 (2010), 25002520.

The Cauchy problem for the elliptichyperbolic DaveyStewartson system in Sobolev space, J. Math. Anal. Appl. 367 (2010), 174192.

