54 citations · 127 across the 16 of their papers we have counts for
20 papers
Global well-posedness for supercritical SQG with perturbations of radially symmetric data
Aynur Bulut, Hongjie Dong
We study the global well-posedness of the supercritical dissipative surface quasi-geostrophic (SQG) equation, a key model in geophysical fluid dynamics. While local well-posedness…
Non-uniqueness up to the Onsager threshold for the forced SQG equation
Aynur Bulut, Manh Khang Huynh, Stan Palasek
We establish new non-uniqueness results for the forced inviscid surface quasi-geostrophic equation, via an alternating formulation of convex integration techniques. Our results imp…
Convex integration above the Onsager exponent for the forced Euler equations
Aynur Bulut, Manh Khang Huynh, Stan Palasek
We establish new non-uniqueness results for the Euler equations with external force on . By introducing a novel alternating convex integration scheme, we…
Epochs of regularity for wild Hölder-continuous solutions of the Hypodissipative Navier-Stokes System
Aynur Bulut, Manh Khang Huynh, Stan Palasek
We consider the hypodissipative Navier-Stokes equations on and seek to construct non-unique, Hölder-continuous solutions with epochs of regularity (smoo…
Non-existence of splash singularities for the two-fluid Euler--Navier-Stokes system
Aynur Bulut
We consider a system of two incompressible fluids separated by a free interface. The first fluid is inviscid, governed by the Euler system, while the second fluid has positive visc…
A geometric trapping approach to global regularity for 2D Navier-Stokes on manifolds
Aynur Bulut, Khang Manh Huynh
In this paper, we use frequency decomposition techniques to give a direct proof of global existence and regularity for the Navier-Stokes equations on two-dimensional Riemannian man…
Blow-up criteria below scaling for defocusing energy-supercritical NLS and quantitative global scattering bounds
Aynur Bulut
We establish quantitative blow-up criteria below the scaling threshold for radially symmetric solutions to the defocusing nonlinear Schrödinger equation with nonlinearity .…
Nonlinear instability for the surface quasi-geostrophic equation in the supercritical regime
Aynur Bulut, Hongjie Dong
We consider the forced surface quasi-geostrophic equation with supercritical dissipation. We show that linear instability for steady state solutions leads to their nonlinear instab…
Global well-posedness for the logarithmically energy-supercritical Nonlinear Wave Equation with partial symmetry
Aynur Bulut, Benjamin Dodson
We establish global well-posedness and scattering results for the logarithmically energy-supercritical nonlinear wave equation, under the assumption that the initial data satisfies…
Negative energy blowup results for the focusing Hartree hierarchy via identities of virial and localized virial type
Aynur Bulut
We establish virial and localized virial identities for solutions to the Hartree hierarchy, an infinite system of partial differential equations which arises in mathematical modeli…
An optimal decay estimate for the linearized water wave equation in 2D
Aynur Bulut
We obtain a decay estimate for solutions to the linear dispersive equation for . This corresponds to a factorization of the…
Probabilistic well-posedness for the nonlinear wave equation on
Aynur Bulut
We establish probabilistic well-posedness results for the subcubic nonlinear wave equation, posed on the domain , with randomly chosen initial data having radi…
Almost sure global well posedness for the radial nonlinear Schrodinger equation on the unit ball I: the 2D case
Jean Bourgain, Aynur Bulut
Our first purpose is to extend the results from \cite{T} on the radial defocusing NLS on the disc in to arbitrary smooth (defocusing) nonlinearities and show the exi…
Almost sure global well posedness for the radial nonlinear Schrödinger equation on the unit ball II: the 3D case
Jean Bourgain, Aynur Bulut
We extend the convergence method introduced in our works [8]-[10] for almost sure global well-posedness of Gibbs measure evolutions of the nonlinear Schrödinger (NLS) and nonlinear…
Gibbs measure evolution in radial nonlinear wave and Schrödinger equations on the ball
Jean Bourgain, Aynur Bulut
We establish new results for the radial nonlinear wave and Schrödinger equations on the ball in and , for random initial data. More precisely, a well-defined a…
The defocusing energy-supercritical cubic nonlinear wave equation in dimension five
Aynur Bulut
We consider the energy-supercritical nonlinear wave equation with defocusing cubic nonlinearity in dimension with no radial assumption on the initial dat…
The radial defocusing energy-supercritical cubic nonlinear wave equation in R^{1+5}
Aynur Bulut
In this work, we consider the energy-supercritical defocusing cubic nonlinear wave equation in dimension d=5 for radially symmetric initial data. We prove that an a priori bound in…
Global Well-Posedness and Scattering for the Defocusing Energy-Supercritical Cubic Nonlinear Wave Equation
Aynur Bulut
In this paper, we consider the defocusing cubic nonlinear wave equation in the energy-supercritical regime, in dimensions , with no radial assumption…
Stability and Unconditional Uniqueness of Solutions for Energy Critical Wave Equations in High Dimensions
Aynur Bulut, Magdalena Czubak, Dong Li +2
In this paper we establish a complete local theory for the energy-critical nonlinear wave equation (NLW) in high dimensions with . We p…
Maximizers for the Strichartz Inequalities for the Wave Equation
Aynur Bulut
We prove the existence of maximizers for Strichartz inequalities for the wave equation in dimensions . Our approach follows the scheme given by Shao, which obtains the exi…