• Sharp well-posedness for the nonlinear heat equation
  with N. C. Phuc. (In preparation)

Publications and preprints

•  Global dynamics for the 1d quartic Klein-Gordon equation with an internal mode
  with G. Chen, A. Kairzhan and F. Pusateri
  Preprint arXiv:2610.06456, 2026, 77 pages.

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• Strongly nonlinear Robin problems for harmonic and polyharmonic functions in the half-space
  with A. Cianchi and L. Slavíková
  Advances in Calculus of Variations, vol. 18, no. 3, 2025, pp. 773-806 DOI. 

• Existence and regularity of steady-state solutions of the Navier-Stokes equations arising from irregular data
  Journal of Functional Analysis, 286(9), (2024), 110364 DOI.

• Well-posedness for chemotaxis-fluid models in arbitrary dimensions
  Nonlinearity, 35, no. 12, (2022) 6241-6283 DOI.

• Dirichlet problem for weakly harmonic maps with rough data
  with H. Koch
  Comm. PDE. 47, (2022) 1504-1535 DOI.

• On the generalized parabolic Hardy-Hénon equation: Existence, blow-up, self-similarity and large-time asymptotic behavior
  Differential and Integral Equations 35(1/2) (2022) 57–88 DOI.

• Nonlinear biharmonic equation in half-space with rough Neumann boundary data and potentials
  Nonlinear Analysis, 215 (2022) 112623. DOI.

• On a nonlinear Laplace equation related to the boundary Yamabe problem in the upper-half-space
  Comm. Pure Appl. Anal. 21(2) (2022) 517–539 DOI

Invited talks and conferences

• April 2026      Internal mode dynamics for the quartic Klein-Gordon equation on the line   (The Fields Institiute, Canada)                                         

• June 2025        Harmonic Analysis and Fluid Flows  (Karlsruhe, Germany)                                                                                      

• Jan 2024         Hamilton University, PDE/Analysis Seminar (Canada)

• Dec 2023       CMS Winter Meeting, Montreal

• Nov 2023       Harmonic Analysis seminar, LSU (USA)

• Jan 2023        Oberseminar Universität Mainz (Germany)

• Mai 2022      Geometric Analysis Seminar, University of Pittsburgh (USA)

• Mai 2022     AG Nichtlineare Partielle Differentialgleichungen (KIT)

• Feb 2022      MPI Leipzig seminar

• Apr 2022     Research School on mathematical advances in geophysical flows, Marseille

• Dec 2022    Recent advances on nonlinear evolution equations, Winter meeting, Toronto 

• Oct 2021     Conference on Nonlinear Elliptic and Parabolic Partial Differential Equations (Levico Terme, Italy)

• Sep 2021    Conference LUBOŠ 60, in Železná Ruda, Czech Republic

• Apr 2021   International Prague seminar on function spaces, Charles University

• Jul 2020    The Analysis & PDE summer seminar, University of Minnesota, USA

• Apr 2020  Mathematical problems in fluid dynamics Program, Graduate seminar MSRI, Berkeley, USA