My work focuses on the study of nonlinear partial differential equations, with an emphasis on the analysis of long-time behavior for dispersive PDE in supercritical settings and related fluid models.

- A. Bulut and H. Dong.

Global well-posedness for supercritical SQG with perturbations of radially symmetric data. - A. Bulut, M.K. Huynh, and S. Palasek.

Non-uniqueness up to the Onsager threshold for the forced SQG equation. - A. Bulut, M.K. Huynh, and S. Palasek.

Convex integration for the forced Euler equations above the Onsager exponent. - A. Bulut, M.K. Huynh, and S. Palasek.

Epochs of regularity for wild Hölder-continuous solutions of the Hypodissipative Navier-Stokes System. - A. Bulut.

Non-existence of splash singularities for the two-fluid Euler--Navier-Stokes system. - A. Bulut.

Probabilistic well-posedness for the nonlinear wave equation on B_{2}× T.

To appear in Discrete and Continuous Dynamical Systems, doi:10.3934/dcds.2024069. - A. Bulut and K.M. Huynh.

A geometric trapping approach to global regularity for 2D Navier-Stokes on manifolds.

Mathematical Research Letters 30 (2023), no. 4, 969--1010. - A. Bulut.

Blow-up criteria below scaling for defocusing energy-supercritical NLS and quantitative global scattering bounds.

American Journal of Mathematics 145 (2023), no. 2, 543--567. - A. Bulut and H. Dong.

Nonlinear instability for the surface quasi-geostrophic equation in the supercritical regime.

Communications in Mathematical Physics 384 (2021), 1679--1707. - A. Bulut and B. Dodson.

Global well-posedness for the logarithmically energy-supercritical Nonlinear Wave Equation with partial symmetry.

International Mathematics Research Notices (2021), no. 8, 5943--5967. - A. Bulut.

Negative energy blowup results for the focusing Hartree hierarchy via identities of virial and localized virial type.

Comm. Par. Diff. Eq. 43 (2018), no. 9, 1281--1305. - A. Bulut.

An optimal decay estimate for the linearized water wave equation in 2D.

Proceedings of the American Mathematical Society 144 (2016), no. 11, 4733-4742. - J. Bourgain and A. Bulut.

Almost sure global well posedness for the radial nonlinear Schrödinger equation on the unit ball I: the 2D case.

Annales Institut Henri Poincare (C) (2013), http://dx.doi.org/10.1016/j.anihpc.2013.09.002. - J. Bourgain and A. Bulut.

Invariant Gibbs measure evolution for the radial nonlinear wave equation on the 3D ball.

Journal of Functional Analysis 266 (2014), no. 4, 2319-2340. - J. Bourgain and A. Bulut.

Almost sure global well posedness for the radial nonlinear Schrödinger equation on the unit ball II: the 3D case.

Journal of the European Mathematical Society 16 (2014), 1289-1325. - J. Bourgain and A. Bulut.

Gibbs measure evolution in radial nonlinear wave and Schrödinger equations on the ball.

Comptes Rendus Mathematique 350 (2012) 11-12, 571-575. - A. Bulut.

The defocusing cubic nonlinear wave equation in the energy-supercritical regime.

Recent Advances in Harmonic Analysis and Partial Differential Equations, 12-22, Contemp. Math 581, Amer. Math. Soc., Providence, RI 2012. - A. Bulut.

The defocusing energy-supercritical cubic nonlinear wave equation in dimension five.

Transactions of the American Mathematical Society 367 (2015), 6017--6061. - A. Bulut.

The radial defocusing energy-supercritical cubic nonlinear wave equation in R^{1+5}.

Nonlinearity 27 (2014), 1859-1877. - A. Bulut.

Global well-posedness and scattering for the defocusing energy-supercritical cubic nonlinear wave equation.

Journal of Functional Analysis 263 (2012), no. 6, 1609-1660. - A. Bulut, M. Czubak, D. Li, N. Pavlovic and X. Zhang.

Stability and unconditional uniqueness of solutions for energy-critical wave equations in high dimensions.

Communications in Partial Differential Equations 38 (2013) no. 4, 575-607. - A. Bulut.

Maximizers for the Strichartz inequalities for the wave equation.

Differential and Integral Equations 23 (2010), 1035-1072.

- A. Bulut.

Global well-posedness and scattering for the defocusing energy-supercritical cubic nonlinear wave equation.

2011, Ph.D. Thesis, The University of Texas at Austin. - A. Bulut.

Aspects of the structure of the second dual algebras.

2005, M.S. Thesis, Bogazici University.