Xinyu He

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All published works

Action	Title	Year	Authors
+	An Example of Finite-time Singularities in the 3d Euler Equations	2006	Xinyu He
+ PDF Chat	A sufficient condition for a finite-time $L_2 $ singularity of the 3d Euler Equations	2005	Xinyu He
+	Existence of Singular Self-Similar Solutions of the Three-Dimensional Euler Equations in a Bounded Domain	2004	Xinyu He
+	Existence of singular self-similar solutions of the three-dimensional euler equations in a bounded domain	2004	Xinyu He
+ PDF Chat	Existence of Leray's Self-Similar Solutions of the Navier-Stokes Equations In 𝒟 ⊂ ℝ<sup>3</sup>	2004	Xinyu He
+	A sufficient condition for a finite-time $ L_2 $ singularity of the 3d Euler Equation	2002	Xinyu He
+	Self-similar singularities of the 3D Euler equations	2000	Xinyu He
+	An invariant for the 3D Euler equations	1999	Xinyu He

Common Coauthors

Coauthor	Papers Together

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Remarks on the breakdown of smooth solutions for the 3-D Euler equations	1984	J. Thomas Beale T. Kato Andrew J. Majda	6
+	Geometric constraints on potentially	1996	Charles Fefferman Andrew J. Majda	5
+ PDF Chat	On Leray's self-similar solutions of the Navier-Stokes equations	1996	J. Nečas Michael Růžička Vladimír Šverák	4
+	Self-similar singularities of the 3D Euler equations	2000	Xinyu He	2
+	Existence of threedimensional, steady, inviscid, incompressible flows with nonvanishing vorticity	1992	Hans‐Dieter Alber	2
+	Locally self-similar, finite-time collapse in a high-symmetry vortex filament model	1997	Richard B. Pelz	2
+	The outer regions in singular Euler	1999	Robert M. Kerr	2
+	An invariant for the 3D Euler equations	1999	Xinyu He	2
+	Vorticity and the mathematical theory of incompressible fluid flow	1986	Andrew J. Majda	2
+	Weak Solutions with Decreasing Energy¶of Incompressible Euler Equations	2000	Alexander Shnirelman	1
+	Evidence for a singularity of the three-dimensional, incompressible Euler equations	1993	Robert M. Kerr	1
+ PDF Chat	On the Euler equations of incompressible fluids	2007	Peter Constantin	1
+ PDF Chat	Numerical study of singularity formation in a class of Euler and Navier–Stokes flows	2000	Koji Ohkitani John Gibbon	1
+	Exact solutions of the Navier-Stokes equations via Leray’s scheme	1997	Hisashi Okamoto	1
+	Velocity and scaling of collapsing Euler vortices	2005	Robert M. Kerr	1
+	Self-similar solutions for navier-stokes equations in	1996	Marco Cannone Fabrice Planchon	1
+	Adaptive Mesh Refinement for Singular Solutions of the Incompressible Euler Equations	1998	Rainer Grauer Christiane Marliani K. Germaschewski	1
+	Remarks on the Blow-up of the Euler Equations and the Related Equations	2004	Dongho Chae	1
+ PDF Chat	Vorticity alignment results for the three-dimensional Euler and Navier - Stokes equations	1997	Barak Galanti John Gibbon M. Heritage	1
+	Vorticity alignment results for the 3D Euler and Navier-Stokes equations	1999	John Gibbon	1
+ PDF Chat	On the existence of inviscid compressible steady flows through a three-dimensional bounded domain	1999	Luc Molinet	1
+	Analysis of a Candidate Flow For Hydrodynamic Blowup	2001	Richard B. Pelz	1
+	On the energy spectrum for weak solutions of the Navier–Stokes equations	2004	Anna L. Mazzucato	1
+ PDF Chat	Singularity formation for complex solutions of the 3D incompressible Euler equations	1993	Russel E. Caflisch	1
+	Evidence for the development of singularities in Euler flow	1997	J. M. Greene O. N. Boratav	1
+ PDF Chat	On Leray's Self-Similar Solutions of the Navier-Stokes Equations Satisfying Local Energy Estimates	1998	Tai‐Peng Tsai	1
+	Partial regularity of suitable weak solutions of the navier‐stokes equations	1982	Luis Caffarelli Robert V. Kohn Louis Nirenberg	1
+ PDF Chat	On the steady-state solutions of the navier-stokes equations, III	1961	Robert Finn	1