My publications since 2016

Preprints

  1. (with H. Hajaiej), On the instability of the Ruf-Sani solitons for the NLS with exponential nonlinearity, submitted.
  2. (with B. Isom, D. Mantzavinos), Growth bound and nonlinear smoothing for the periodic derivative nonlinear Schrodinger equation, submitted.
  3. (with W. Feng, M. Stanislavova), On the Barashenkov-Smirnov solitons and their stability, submitted.
  4. (with S. Oh) Smoothing and growth bound of periodic generalized Korteweg-de Vries equation, submitted.

Published/Accepted

  1. (with B. Isom, D. Mantzavinos, S. Oh) Polynomial Bound and Nonlinear Smoothing for the Benjamin-Ono Equation on the Circle, to appear J. Diff. Eq.
  2. (with A. Ramadan), On the standing waves of the Schroedinger equation with concentrated nonlinearity, to appear, Anal. Math. Phys.
  3. (with S. Hakkaev, M. Stanislavova), On the stability of periodic waves for the cubic derivative NLS and the quintic NLS, to appear J. Nonlinear Science.
  4. (with S. Hakkaev) Stability of periodic waves for the fractional KdV and NLS equations, to appear Proc. Roy. Soc. Edinb. Sect. A
  5. (with F. Hadadifard), On the forced surface quasi-geostrophic equation: existence of steady states and sharp relaxation rates, J. Math. Fluid. Mech. 23, (2021), no. 1, 24.

  7. (with M. Stanislavova) Ground states for the nonlinear Schr\"odinger equation under a general trapping potential, J. Evol. Eq. 21, (2021), no. 1, p. 671--697.
  8. (with A. Ramadan) Existence and stability of solitary waves for the inhomogeneous NLS, Physica D. 414, (2020), 132691.
  9. (with I. Posukhovskyi) On the ground states for the Ostrovskyi equation and their stability, Stud. Appl. Math. vol. 144 (2020), no. 4, p. 548--575.
  10. (with I. Posukhovskyi) On the normalized ground states for the Kawahara equation and a fourth order NLS, Disc. Cont. Dyn. Syst. - A, v. 40 (2020), no. 7, p. 4131--4162.
  11. (with F. Hadadifard) Sharp relaxation rates for plane waves of general reaction-diffusion systems, J. Math. Phys. v. 61 (2020) 041502, 22 pp.
  12. (with J. D. Wright), Small amplitude traveling waves in the full-dispersion Whitham equation, J. Dyn. Diff. Eq. v. 32 (2020), p. 85--99.
  13. (with F. Hadadifard), On the sharp time decay rates for the 2D generalized quasi-geostrophic equation and the Boussinesq system, J. Nonlinear Science,(2019), v. 29 no.5, p. 2231–2296.
  14. (with S. Hakkaev, M. Stanislavova) On the generation of stable Kerr frequency combs in the Lugiato-Lefever model of periodic optical waveguides, SIAM J. Appl. Math, 79, (2019), no. 2, p. 477–505.
  15. (with J. Wu) A global regularity result for the 2D Boussinesq equation with critical dissipation, J. Anal. Math. 137, (2019), no. 1, p. 269–290.
  16. On the normalized ground states of second order PDE’s with mixed power non-linearities, Comm. Math. Phys., 369, (2019), no. 3, p. 929–971.
  17. (with M. Stanislavova) Asymptotic stability for spectrally stable Lugiato-Lefever solitons in periodic waveguides, J. Math. Phys. 59, (2018), no. 10, 101502, 12 pp.
  18. (with V. Georgiev) On the classification of the spectrally stable standingwaves of the Hartree problem, Physica D, 370 (2018), p. 29–39.
  19. (with W. Feng, M. Stanislavova) On the spectral stability of ground states of semi-linear Schrödinger and Klein-Gordon equations with fractional dispersion, Comm. Pure Appl. Anal., 17, (2018), no. 4, p. 1371–1385.
  20. (with S. Hakkaev, M. Stanislavova) Periodic  traveling waves  of  the  short pulse equation: existence and stability, SIAM J. Math. Anal. (2017) Vol. 49, No. 1, p. 674--698.
  21. (with T. Phan. A. Comech) Asymptotic stability of the generalized Gross-Neveu model, Ann. Henri Poincare / Analyse non lineaire, v. 34, (2017), no. 1, p. 157-196.
  22. (with S. Hakkaev, M. Stanislavova) Spectral stability for  classical periodic waves  of the Ostrovsky and short pulse models, Stud. Appl. Math. Vol. 13, (2017), p. 405--433.
  23. (with M. Stanislavova) On stability of P T symmetric ground states for Schrödinger and Klein-Gordon equations in higher space dimensions, Proc. Amer. Math. Soc. 145, No. 12, (2017), p. 5273–5285.(
  24. (with F. Hadadifard) On the global regularity for the 2D critical Boussinesq system with α >2/3, Comm. Math. Sci v. 15, No. 5 (2017), p. 1325--1351.
  25. (with M. Stanislavova) On the spectral problem ${\mathcal L} u=\lambda u'$ and applications, Comm. Math. Phys. (2016) Vol. 343 no. 2 p. 361--391
  26. (with H. Xu, P. Kevrekidis) Traveling waves for the Mass in Mass model of granular chains, Lett. Math. Phys.(2016), v. 106, No. 8, p. 361--391.