Zachary Bradshaw

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All published works

Action	Title	Year	Authors
+ PDF Chat	Regularity, uniqueness and the relative size of small and large scales in SQG flows	2024	Zachary Akridge Zachary Bradshaw
+ PDF Chat	Asymptotic properties of discretely self-similar Navier-Stokes solutions with rough data	2024	Zachary Bradshaw P. Phelps
+ PDF Chat	Asymptotic stability for the 3D Navier-Stokes equations in $L^3$ and nearby spaces	2024	Zachary Bradshaw Weinan Wang
+ PDF Chat	Remarks on the separation of Navier–Stokes flows	2024	Zachary Bradshaw
+ PDF Chat	Spatial decay of discretely self-similar solutions to the Navier–Stokes equations	2023	Zachary Bradshaw P. Phelps
+	Estimation of non-uniqueness and short-time asymptotic expansions for Navier–Stokes flows	2023	Zachary Bradshaw P. Phelps
+	Mild solutions and spacetime integral bounds for Stokes and Navier–Stokes flows in Wiener amalgam spaces	2023	Zachary Bradshaw Chen‐Chih Lai Tai‐Peng Tsai
+ PDF Chat	Convergence of a mobile data assimilation scheme for the 2D Navier-Stokes equations	2023	Animikh Biswas Zachary Bradshaw Michael S. Jolly
+	Global Navier-Stokes flows in intermediate spaces	2023	Zachary Bradshaw Misha Chernobai Tai‐Peng Tsai
+	Remarks on the separation of Navier-Stokes flows	2023	Zachary Bradshaw
+ PDF Chat	Remarks on sparseness and regularity of Navier–Stokes solutions	2022	Dallas Albritton Zachary Bradshaw
+ PDF Chat	Global Weak Solutions of the Navier–Stokes Equations for Intermittent Initial Data in Half-Space	2022	Zachary Bradshaw Igor Kukavica Wojciech S. Ożański
+ PDF Chat	Existence of global weak solutions to the Navier-Stokes equations in weighted spaces	2022	Zachary Bradshaw Igor Kukavica Tai‐Peng Tsai
+	Spatial decay of discretely self-similar solutions to the Navier-Stokes equations	2022	Zachary Bradshaw P. Phelps
+	Estimation of non-uniqueness and short-time asymptotic expansions for Navier-Stokes flows	2022	Zachary Bradshaw P. Phelps
+	Mild solutions and spacetime integral bounds for Stokes and Navier-Stokes flows in Wiener amalgam spaces	2022	Zachary Bradshaw Chen‐Chih Lai Tai‐Peng Tsai
+	Convergence of a mobile data assimilation scheme for the 2D Navier-Stokes equations	2022	Animikh Biswas Zachary Bradshaw Michael S. Jolly
+ PDF Chat	On the Local Pressure Expansion for the Navier–Stokes Equations	2021	Zachary Bradshaw Tai‐Peng Tsai
+ PDF Chat	Non-decaying solutions to the critical surface quasi-geostrophic equations with symmetries	2021	Dallas Albritton Zachary Bradshaw
+ PDF Chat	Local Energy Solutions to the Navier--Stokes Equations in Wiener Amalgam Spaces	2021	Zachary Bradshaw Tai‐Peng Tsai
+ PDF Chat	Data Assimilation for the Navier--Stokes Equations Using Local Observables	2021	Animikh Biswas Zachary Bradshaw Michael S. Jolly
+	Non-decaying solutions to the critical surface quasi-geostrophic equations with symmetries	2020	Dallas Albritton Zachary Bradshaw
+	Local energy solutions to the Navier-Stokes equations in Wiener amalgam spaces	2020	Zachary Bradshaw Tai‐Peng Tsai
+	Data assimilation for the Navier-Stokes equations using local observables.	2020	Animikh Biswas Zachary Bradshaw Michael S. Jolly
+ PDF Chat	Global existence, regularity, and uniqueness of infinite energy solutions to the Navier-Stokes equations	2020	Zachary Bradshaw Tai‐Peng Tsai
+	On the local pressure expansion for the Navier-Stokes equations	2020	Zachary Bradshaw Tai‐Peng Tsai
+	Global weak solutions of the Navier-Stokes equations for intermittent initial data in half-space	2020	Zachary Bradshaw Igor Kukavica Wojciech S. Ożański
+	Non-decaying solutions to the critical surface quasi-geostrophic equations with symmetries	2020	Dallas Albritton Zachary Bradshaw
+	Local energy solutions to the Navier-Stokes equations in Wiener amalgam spaces	2020	Zachary Bradshaw Tai‐Peng Tsai
+	Data assimilation for the Navier-Stokes equations using local observables	2020	Animikh Biswas Zachary Bradshaw Michael S. Jolly
+	On the local pressure expansion for the Navier-Stokes equations	2020	Zachary Bradshaw Tai‐Peng Tsai
+ PDF Chat	Existence of Suitable Weak Solutions to the Navier–Stokes Equations for Intermittent Data	2019	Zachary Bradshaw Igor Kukavica
+ PDF Chat	Discretely self-similar solutions to the Navier–Stokes equations with data in Lloc2 satisfying the local energy inequality	2019	Zachary Bradshaw Tai‐Peng Tsai
+	Global existence, regularity, and uniqueness of infinite energy solutions to the Navier-Stokes equations	2019	Zachary Bradshaw Tai‐Peng Tsai
+	Global existence, regularity, and uniqueness of infinite energy solutions to the Navier-Stokes equations	2019	Zachary Bradshaw Tai‐Peng Tsai
+ PDF Chat	An Algebraic Reduction of the ‘Scaling Gap’ in the Navier–Stokes Regularity Problem	2018	Zachary Bradshaw Aseel Farhat Zoran Grujić
+	Self-similar solutions to the Navier-Stokes equations: a survey of recent results.	2018	Zachary Bradshaw Tai‐Peng Tsai
+	Self-similar solutions to the Navier-Stokes equations: a survey of recent results	2018	Zachary Bradshaw Tai‐Peng Tsai
+ PDF Chat	Discretely Self-Similar Solutions to the Navier–Stokes Equations with Besov Space Data	2017	Zachary Bradshaw Tai‐Peng Tsai
+ PDF Chat	Rotationally corrected scaling invariant solutions to the Navier–Stokes equations	2017	Zachary Bradshaw Tai‐Peng Tsai
+ PDF Chat	Frequency Localized Regularity Criteria for the 3D Navier–Stokes Equations	2016	Zachary Bradshaw Zoran Grujić
+ PDF Chat	Forward Discretely Self-Similar Solutions of the Navier–Stokes Equations II	2016	Zachary Bradshaw Tai‐Peng Tsai
+	Rotationally corrected scaling invariant solutions to the Navier-Stokes equations	2016	Zachary Bradshaw Tai‐Peng Tsai
+	Recent Progress in the Theory of the Euler and Navier–Stokes Equations	2016	James C. Robinson James C. Robinson James C. Robinson H. Beirão da Veiga Zachary Bradshaw Giovanni P. Galdi John Gibbon W. Hu Adam Larios Pierre Gilles Lemarié–Rieusset
+	Analyticity radii and the Navier–Stokes equations: recent results and applications	2016	Zachary Bradshaw Zoran Grujić Igor Kukavica
+	Rotationally corrected scaling invariant solutions to the Navier-Stokes equations	2016	Zachary Bradshaw Tai‐Peng Tsai
+	Forward discretely self-similar solutions of the Navier-Stokes equations II	2015	Zachary Bradshaw Tai‐Peng Tsai
+	Local analyticity radii of solutions to the 3D Navier–Stokes equations with locally analytic forcing	2015	Zachary Bradshaw Zoran Grujić Igor Kukavica
+	Scaling vs. dynamics in the 3D NSE. A vignette	2015	Zoran Grujić Zachary Bradshaw
+ PDF Chat	A spatially localized $L \\log L$ estimate on the vorticity in the 3D NSE	2015	Zoran Grujić Zachary Bradshaw
+	Forward discretely self-similar solutions of the Navier-Stokes equations II	2015	Zachary Bradshaw Tai‐Peng Tsai
+ PDF Chat	A note on the surface quasi-geostrophic temperature variance cascade	2014	Zachary Bradshaw Zoran Grujić
+	On Turbulent Dynamics and Related Theoretical Topics Associated with Diffusive Incompressible Fluid Models	2014	Zachary Bradshaw
+ PDF Chat	Blow-Up Scenarios for the 3D Navier–Stokes Equations Exhibiting Sub-Criticality with Respect to the Scaling of One-Dimensional Local Sparseness	2013	Zachary Bradshaw Zoran Grujić
+	A note on the surface quasi-geostrophic temperature variance cascade	2013	Zachary Bradshaw Zoran Grujić
+ PDF Chat	A note on the surface quasi-geostrophic temperature variance cascade	2013	Zachary Bradshaw Zoran Grujić
+ PDF Chat	Energy cascades in physical scales of 3D incompressible magnetohydrodynamic turbulence	2013	Zachary Bradshaw Zoran Grujić
+ PDF Chat	On the transport and concentration of enstrophy in 3D magnetohydrodynamic turbulence	2013	Zachary Bradshaw Zoran Grujić
+	A spatially localized $L \log L$ estimate on the vorticity in the 3D NSE	2013	Zachary Bradshaw Zoran Grujić
+	A note on the surface quasi-geostrophic temperature variance cascade	2013	Zachary Bradshaw Zoran Grujić
+	j-\omega Enstrophy Cascades in Physical Scales of 3D Incompressible Plasma	2012	Zachary Bradshaw Zoran Grujić
+	Geometric measure-type regularity criteria for the 3D magnetohydrodynamical system	2012	Zachary Bradshaw
+	A geometric measure-type regularity criterion for solutions to the magnetohydrodynamical system	2012	Zachary Bradshaw
+	On the transport and concentration of enstrophy in 3D magnetohydrodynamic turbulence	2012	Zachary Bradshaw Zoran Grujić
+ PDF Chat	Minimum cycle bases of direct products of graphs with cycles	2009	Zachary Bradshaw Richard H. Hammack
+	Minimum cycle bases for direct products of K 2 with complete graphs.	2009	Zachary Bradshaw Mohammed M. M. Jaradat

Common Coauthors

Coauthor	Papers Together
Tai‐Peng Tsai	23
Zoran Grujić	16
Igor Kukavica	6
P. Phelps	5
Animikh Biswas	5
Michael S. Jolly	5
Dallas Albritton	4
Wojciech S. Ożański	2
Chen‐Chih Lai	2
H. Beirão da Veiga	1
Adam Larios	1
John Gibbon	1
Misha Chernobai	1
Weinan Wang	1
Zachary Akridge	1
Pierre Gilles Lemarié–Rieusset	1
W. Hu	1
James C. Robinson	1
Aseel Farhat	1
Giovanni P. Galdi	1
Benjamin C. Pooley	1
Marco Romito	1
Mohammed M. M. Jaradat	1
James C. Robinson	1
Richard H. Hammack	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Partial regularity of suitable weak solutions of the navier‐stokes equations	1982	Luis Caffarelli Robert V. Kohn Louis Nirenberg	19
+ PDF Chat	Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions	2013	Hao Jia Vladimír Šverák	19
+	Well-posedness for the Navier–Stokes Equations	2001	Herbert Koch Daniel Tataru	16
+ PDF Chat	A geometric measure-type regularity criterion for solutions to the 3D Navier–Stokes equations	2012	Zoran Grujić	13
+ PDF Chat	Forward Discretely Self-Similar Solutions of the Navier–Stokes Equations	2014	Tai‐Peng Tsai	13
+ PDF Chat	Forward self-similar solutions of the Navier–Stokes equations in the half space	2016	Mikhail V. Korobkov Tai‐Peng Tsai	12
+	Strong solutions of the Navier-Stokes equation in Morrey spaces	1992	Tosio Kato	12
+	Recent developments in the Navier-Stokes problem	2002	Pierre Gilles Lemarié–Rieusset	12
+ PDF Chat	On Leray's Self-Similar Solutions of the Navier-Stokes Equations Satisfying Local Energy Estimates	1998	Tai‐Peng Tsai	11
+ PDF Chat	Forward Discretely Self-Similar Solutions of the Navier–Stokes Equations II	2016	Zachary Bradshaw Tai‐Peng Tsai	11
+ PDF Chat	Local Energy Weak Solutions for the Navier–Stokes Equations in the Half-Space	2019	Yasunori Maekawa Hideyuki Miura Christophe Prange	10
+	Weak solutions to the Cauchy problem for the Navier-Stokes equations satisfying the local energy inequality	2007	Norio Kikuchi G. Serëgin	10
+	Self-similar solutions for navier-stokes equations in	1996	Marco Cannone Fabrice Planchon	10
+ PDF Chat	Weak Solutions for Navier–Stokes Equations with Initial Data in Weighted $$L^2$$ Spaces	2020	Pedro Gabriel Fernández-Dalgo Pierre Gilles Lemarié–Rieusset	9
+ PDF Chat	Self-similar solutions in weak $L^p$-spaces of the Navier-Stokes equations	1996	Oscar A. Barraza	9
+	Existence of discretely self-similar solutions to the Navier–Stokes equations for initial value in $ L_{l o c}^{2}\left(\right.R^{3}\left.\right) $	2017	Dongho Chae Jörg Wolf	9
+	Navier-stokes flow in r<sup>3</sup>with measures as initial vorticity and morrey spaces	1989	Yoshikazu Giga Tetsuro Miyakawa	8
+ PDF Chat	Global Weak Besov Solutions of the Navier–Stokes Equations and Applications	2018	Dallas Albritton Tobias Barker	8
+ PDF Chat	Discretely self-similar solutions to the Navier–Stokes equations with data in Lloc2 satisfying the local energy inequality	2019	Zachary Bradshaw Tai‐Peng Tsai	8
+	Space Analyticity for the Navier–Stokes and Related Equations with Initial Data inLp	1998	Zoran Grujić Igor Kukavica	8
+	Global Navier–Stokes Flows for Non-decaying Initial Data with Slowly Decaying Oscillation	2020	Hyunju Kwon Tai‐Peng Tsai	7
+ PDF Chat	On Leray's self-similar solutions of the Navier-Stokes equations	1996	J. Nečas Michael Růžička Vladimír Šverák	7
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy	7
+	Fourier Analysis and Nonlinear Partial Differential Equations	2011	Hajer Bahouri Jean-Yves Chemin Raphaël Danchin	7
+ PDF Chat	Rotationally corrected scaling invariant solutions to the Navier–Stokes equations	2017	Zachary Bradshaw Tai‐Peng Tsai	7
+ PDF Chat	Minimal $L^3$-Initial Data for Potential Navier--Stokes Singularities	2013	Hao Jia Vladimír Šverák	7
+ PDF Chat	Vortex stretching and criticality for the three-dimensional Navier-Stokes equations	2012	Radu Dascaliuc Zoran Grujić	7
+ PDF Chat	Short Time Regularity of Navier–Stokes Flows with Locally L3 Initial Data and Applications	2019	Kyungkeun Kang Hideyuki Miura Tai‐Peng Tsai	6
+	On local uniqueness of weak solutions of the Navier–Stokes system with bounded initial data	2003	Igor Kukavica	6
+ PDF Chat	Are the incompressible 3d Navier–Stokes equations locally ill-posed in the natural energy space?	2015	Hao Jia Vladimír Šverák	6
+	Conformal Invariants: Topics in Geometric Function Theory	1973	Lars V. Ahlfors	6
+	A new proof of the Caffarelli-Kohn-Nirenberg theorem	1998	Fanghua Lin	6
+ PDF Chat	Global existence, regularity, and uniqueness of infinite energy solutions to the Navier-Stokes equations	2020	Zachary Bradshaw Tai‐Peng Tsai	6
+	On Partial Regularity of Suitable Weak Solutions to the Three-Dimensional NavierStokes equations	1999	O. A. Ladyzhenskaya G. Serëgin	6
+ PDF Chat	Characterizations of bounded mean oscillation	1971	Charles Fefferman	6
+	<i>L</i><sub>3,∞</sub>-solutions of the Navier-Stokes equations and backward uniqueness	2003	Luis Escauriaza G. Serëgin Vladimír Šverák	6
+ PDF Chat	Numerical Investigations of Non-uniqueness for the Navier–Stokes Initial Value Problem in Borderline Spaces	2023	Julien Guillod Vladimír Šverák	6
+ PDF Chat	Discretely Self-Similar Solutions to the Navier–Stokes Equations with Besov Space Data	2017	Zachary Bradshaw Tai‐Peng Tsai	6
+ PDF Chat	Smoothness of Koch-Tataru solutions to the Navier-Stokes equations revisited	2010	Rafaela Guberović	6
+ PDF Chat	Energy Cascades and Flux Locality in Physical Scales of the 3D Navier-Stokes Equations	2011	Radu Dascaliuc Zoran Grujić	5
+	Analytic results related to magneto-hydrodynamic turbulence	2000	Jiahong Wu	5
+	Bounds and New Approaches for the 3D MHD Equations	2002	Jiahong Wu	5
+ PDF Chat	Coherent Vortex Structures and 3D Enstrophy Cascade	2012	Radu Dascaliuc Zoran Grujić	5
+ PDF Chat	Navier-Stokes equations and area of interfaces	1990	Peter Constantin	5
+ PDF Chat	Fine Properties of Self-Similar Solutions of the Navier–Stokes Equations	2008	Lorenzo Brandolese	5
+	Gevrey class regularity for the solutions of the Navier-Stokes equations	1989	Ciprian Foiaş Roger Témam	5
+ PDF Chat	Determination of the solutions of the Navier-Stokes equations by a set of nodal values	1984	Ciprian Foiaş Roger Témam	4
+	The initial value problem for the Navier-Stokes equations with data in Lp	1972	Eugene B. Fabes B. Frank Jones N. M. Rivière	4
+ PDF Chat	On the regularizing effect of the vorticity direction in incompressible viscous flows	2002	H. Beirão da Veiga Luigi C. Berselli	4
+	Ordering of sets, hyperbolic metrics, and harmonic measures	1999	Alexander Yu. Solynin	4