数学科学研究所
Insitute of Mathematical Science

Engin Basakoglu


Career

  

2024-Present Postdoc, ShanghaiTech University 

2023-2024 Postdoc, University of Birmingham 

2016-2022 Teaching Assistant, Bogazic¸i University

 

Education

  

2016-2022 Ph.D. in Mathematics, Bogazic¸i University 

2013-2016 M.S. in Mathematics, Bogazic¸i University 

2007-2013 B.S. in Mathematics, Middle East Technical University


 

Research Interest

Nonlinear Partial Differential Equations and Harmonic Analysis. In particular, the study of nonlinear dispersive PDEs such as nonlinear Schrodinger equations and the KdV equation. Mainly, well-posedness ¨ in both deterministic and probabilistic settings, Strichartz estimates in different settings, smoothing for nonlinear dispersive PDEs.


Selected Publication

• 1. (with F. Temur, B. Yes¸iloglu and O. Yılmaz) ˘ Scattering for the SNLS with additive noise, preprint. 

2. (with T. Oh and Y. Wang) Unconditional Well-posedness for the cubic hyperbolic NLS in Fourier– Lebesgue spaces FL s,p(T 2 ), preprint. 

3. (with C. Sun, N. Tzvetkov and Y. Wang) Local well-posedness for the periodic Boltzmann equation with constant collision kernel, arXiV preprint. 

4. (with B. Yes¸iloglu and O. Yılmaz) Global well-posedness for the fourth-order nonlinear Schr ˘ odinger ¨ equations on R 2 , arXiV preprint. 

5. (with T. B. Gurel) Smoothing and global attractors for the Hirota-Satsuma system on the torus, J. ¨ Math. Anal. Appl., 525, 2023. 

6. (with T. B. Gurel, O. Yılmaz) Global well-posedness for the biharmonic quintic nonlinear Schr ¨ odinger ¨ equation on R 2 , arXiV preprint. 

7. Global smoothing for the Davey-Stewartson system on R 2 , J. Evol. Equ. 22, 34 2022. 

8. Regularity properties of the cubic biharmonic Schrodinger equation on the half line, PDEA, vol. 2, ¨ 2021.













Email:

ebasakoglu@shanghaitech.edu.cn

Office: S321, School of Creativity & Arts













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