My publications since 2016
Preprints
- (with H. Hajaiej), On the instability of the Ruf-Sani solitons for the NLS with exponential nonlinearity, submitted.
- (with B. Isom, D. Mantzavinos), Growth bound and nonlinear smoothing for the periodic derivative nonlinear Schrodinger equation, submitted.
- (with W. Feng, M. Stanislavova), On the Barashenkov-Smirnov solitons and their stability, submitted.
- (with S. Oh) Smoothing and growth bound of periodic generalized Korteweg-de Vries equation, submitted.
Published/Accepted
- (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.
- (with A. Ramadan), On the standing waves of the Schroedinger equation with concentrated nonlinearity, to appear, Anal. Math. Phys.
- (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.
- (with S. Hakkaev) Stability of periodic waves for the fractional KdV and NLS equations, to appear Proc. Roy. Soc. Edinb. Sect. A
- (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.
- (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.
- (with A. Ramadan) Existence and stability of solitary waves for the inhomogeneous NLS, Physica D. 414, (2020), 132691.
- (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.
- (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.
- (with F. Hadadifard) Sharp relaxation rates for plane waves of general reaction-diffusion systems, J. Math. Phys. v. 61 (2020) 041502, 22 pp.
- (with J. D. Wright), Small amplitude traveling waves in the full-dispersion Whitham equation, J. Dyn. Diff. Eq. v. 32 (2020), p. 85--99.
- (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.
- (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.
- (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.
- 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.
- (with M. Stanislavova) Asymptotic stability for spectrally stable Lugiato-Lefever solitons in periodic waveguides, J. Math. Phys. 59, (2018), no. 10, 101502, 12 pp.
- (with V. Georgiev) On the classification of the spectrally stable standingwaves of the Hartree problem, Physica D, 370 (2018), p. 29–39.
- (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.
- (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.
- (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.
- (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.
- (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.(
- (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.
- (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
- (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.