My recent publications (since 2005)

• ``Asymptotic stability of small solitons in the discrete nonlinear Schrödinger equation in one dimension'' (with P. Kevrekidis, D. Pelinovsky),  to appear in SIAM J. Math. Anal.
  

• ``On the Lipschitzness of the solution map for the 2 D Navier-Stokes system'', to appear in Disc. Cont. Dyn. Syst. - A.
  

• ``Global regularity for the minimal surface equation in Minkowskian geometry'', to appear in Forum Mathematicum.
  

• ``Pseudodifferential operators with rough symbols'', to appear Journal of  Fourier  Analysis and  Applications.
  

• ``On precise center stable manifold theorems for certain reaction-diffusion and Klein-Gordon equations'' (with M. Stanislavova),  Physica D: Nonlinear Phenomena 238 (2009),  2298-2307. 

• ``On the spectral theory and dispersive estimates for a discrete Schrödinger equation in one dimension'' (with D. Pelinovsky),   J. Math. Phys. 49, 113501 (2008)
  

• ``Decay and Strichartz Estimates for DNLS'',   p. 414-424 in the book  ``The Discrete Nonlinear Schr{\"o}dinger Equation: Mathematical Analysis, Numerical Computations and Physical Perspectives,   Springer-Verlag , (2009).
  

• ``Dynamical Barrier for the Nucleation of Solitary Waves in Discrete Lattices'', (joint with   Kevrekidis, Espinola-Rocha, Drossinos),  Phys. Lett. A, Volume 372, Issue 13, 2008, p.  2247-2253

• ``Global well-posedness  for the 2 D quasi-geostrophic  equation  in a critical Besov space'',  Electron. J.  Differential  Equations 2007 (2007), No. 150, pp. 1-9.

• ``On  quadratic derivative  Schr\"odinger equations in one space dimension'', Trans. Amer. Math. Soc. (359) (2007),  3589-3607.
  

• ``Strichartz estimates for the magnetic Schroedinger equation'',   Adv. Math.  (210)   (2007), 246--303.

• ``Attractors for the viscous Camassa-Holm equation'' , (joint with M. Stanislavova),  Disc. Cont. Dyn.  Syst.  - A (18) (2007),  159--186.
  

• ``Smoothing-Strichartz estimates for the Schroedinger equation with small magnetic potential'' (joint with V. Georgiev, M. Tarulli),   Disc. Cont. Dyn.  Syst.  - A.  (17) (2007), 771--786.

• ``Nonlinearity management in higher dimensions'' (joint with P. Kevrekidis, D. Pelinovsky),  J. Phys. A  39 (2006), p. 479-488.

• ``On some Schroedinger and wave equations with time dependent potentials'' (joint with V. Naibo),  Math. Ann. 334 (2006), p. 325--338
  

• ``Asymptotic Smoothing  and Attractors for the Generalized BBM  Equation in three space dimensions'' (joint with M. Stanislavova, B. Wang),  J. Diff. Eq. 219 (2005), p. 451--483.
  

• ``On global finite energy solutions of the Camassa-Holm equation'' (joint with M. Stanislavova),   J. Four. Anal. Appl. 11 (2005) , p. 511--531. 

• ``On first order perturbations of the Schr\"odinger equation with conjugation'' Diff. Int.  Eq.  18  (2005),  997-1012.
  

• ``Asymptotic behavior of small solutions for the discrete nonlinear Schr\"odinger and Klein-Gordon equations'' (joint with P. Kevrekidis), Nonlinearity  18  (2005), 1841--1857.