RM

Razvan Mosincat

Department of Mathematics
University of Bergen
PO Box 7803
5020 Bergen
Norway

e-mail: razvan [dot] mosincat [at] uib.no

I am a postdoctoral research fellow in the Department of Mathematics at the University of Bergen (UiB), working with Didier Pilod. I am interested in the analysis of nonlinear dispersive PDEs using tools from harmonic analysis, dynamical systems, probability, and operator theory.

I obtained my PhD at the University of Edinburgh in the Maxwell Institute Graduate School in Analysis and its Applications (MIGSAA).

My profile in research databases: arXiv, MathSciNet, Google Scholar, ORCID iD iconORCID

Publications

  1. (with D. Pilod) Unconditional uniqueness for the Benjamin-Ono equation, arXiv:2110.07017
  2. (with D. Pilod, J.-C. Saut) Global well-posedness and scattering for the Dysthe equation in \(L^2(\mathbb{R}^2)\), arXiv:2007.01613, J. Math. Pures Appl., 149 (2021), 73-97
  3. (with A. Stetco, G. Nenadic, J. Keane) Towards a framework for incorporating data acquisition cost in predictive time series models, The 6th Workshop on Mining and Learning from Time Series, KDD2020, San Diego, US
  4. (with H. Yoon) Unconditional uniqueness for the derivative nonlinear Schrödinger equation on the real line, arXiv:1810.09806, Disc. Cont. Dyn. Syst. A, 40 (2020), 47-80
  5. (with K. Cheung) Stochastic nonlinear Schrödinger equations on tori, arXiv:1803.02817, Stoch. Partial Differ. Equ. Anal. Comput., 7 (2019), 169-208
  6. (PhD thesis) Well-posedness of the one-dimensional derivative nonlinear Schrödinger equation, Edinburgh Research Archive (2018)
  7. Global well-posedness of the derivative nonlinear Schrödinger equation with periodic boundary condition in \(H^{\frac12}\), arXiv:1608.06838, J. Differential Equations, 263 (2017) 4658-4722
  8. (with T. Oh) A remark on global well-posedness of the derivative nonlinear Schrödinger equation on the circle, arXiv:1502.02261, C. R. Math. Acad. Sci. Paris, Ser. I 353 (2015) 837-841
  9. (with C. Preda and P. Preda) Dichotomies with no invariant unstable manifolds for autonomous equations, J. Funct. Spaces Appl., vol. 2012, Article ID 527647, 23 pp.
  10. (with C. Preda and P. Preda) A new version of a theorem of Minh-Rabiger-Schnaubelt regarding nonautonomous evolution equations, Appl. Anal., 90 (2011) 1405-1418.
  11. (with C. Preda and P. Preda) Averaging theorems for the large-time behavior of the solutions of nonautonomous systems, Systems Control Lett., 60 (2011) 994-999.

Talks

  1. University of Bergen (Norway), Analysis and PDEs Seminar, November 3, 2020:
    Global well-posedness and scattering for the Dysthe equation in \(L^2(\mathbb{R}^2)\)
  2. Norwegian University of Science and Technology, Trondheim (Norway), Norwegian meeting on PDEs, June 5-7, 2019:
    Unconditional uniqueness of solutions to the derivative nonlinear Schrödinger equation
  3. University of Bergen (Norway), Analysis and PDEs Seminar, September 30, 2019:
    Unconditional well-posedness for the Benjamin-Ono equation
  4. Joint Mathematics Meeting, Baltimore (US), Analysis and Geometry of Nonlinear Evolution Equations, January 17, 2019:
    Unconditional well-posedness for the Benjamin-Ono equation
  5. University of Michigan, Ann Arbor (US), Differential Equations Seminar, December 6, 2018:
    Unconditional well-posedness for the Benjamin-Ono equation
  6. University of Illinois, Urbana-Champaign (US), Harmonic Analysis and Differential Equations Seminar, December 4, 2018:
    Unconditional uniqueness of solutions to the derivative nonlinear Schrödinger equation
  7. University of Bergen (Norway), Analysis and PDEs Seminar, September 18, 2018:
    Low-regularity well-posedness for the derivative nonlinear Schrödinger equation
  8. University of York (UK), Mathematical Finance and Stochastic Analysis Seminar, May 21, 2018:
    Stochastic nonlinear Schrödinger equations on tori
  9. University of Oxford (UK), Joint CDT Colloquium: Analysis and PDEs, April 20, 2018:
    Unconditional uniqueness for the derivative nonlinear Schrödinger equation
  10. Kyoto University (Japan), NLPDE seminar, Department of Mathematics, February 9, 2018:
    Low-regularity well-posedness for the derivative nonlinear Schrödinger equation
        and
    Stochastic nonlinear dispersive equations: SNLB and SNLS
  11. Fields Institute, Toronto (Canada), Focus Program on Nonlinear Dispersive Partial Differential Equations and Inverse Scattering, July 31 - August 23, 2017:
    (poster) Low-regularity well-posedness for the derivative nonlinear Schrödinger equation
  12. ICMS, Edinburgh (UK), Probabilistic Perspectives in Nonlinear PDEs, June 5-9, 2017 and Nonlinear PDEs, stochastic control and filtering: new methods and applications: in honour of Nikolai Krylov, May 29 - June 2, 2017
    (poster) Well-posedness theory of the three-dimensional stochastic beam equation with additive space-time white noise forcing
  13. University of Birmingham (UK), Analysis Seminar (School of Mathematics), October 31, 2016:
    Global well-posedness for the derivative nonlinear Schrödinger equation on the torus
  14. West University of Timisoara (Romania), The 23rd International Conference on Operator Theory, June 29 - July 4, 2010:
    Some remarks on the asymptotic behaviour of the solutions of semilinear evolution equations

Teaching

I am not teaching this semester.

At the University of Bergen, I was a lecturer for:

At the University of Edinburgh, I was a tutor for:

Organized events