Zibu Liu

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All published works

Action	Title	Year	Authors
+	Existence and rigidity of the Peierls-Nabarro model for dislocations in high dimensions	2020	Yuan Gao Jian‐Guo Liu Zibu Liu
+	On Runge-Kutta methods for the water wave equation and its simplified nonlocal hyperbolic model	2017	Li Lei Jian‐Guo Liu Zibu Liu Yang Yi Zhennan Zhou

Common Coauthors

Coauthor	Papers Together
Jian‐Guo Liu	2
Yuan Gao	1
Zhennan Zhou	1
Li Lei	1
Yang Yi	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	1
+	Phasefield theory for fractional diffusion-reaction equations and applications	2009	Cyril Imbert Panagiotis E. Souganidis	1
+	On a conjecture of De Giorgi and some related problems	1998	Nassif Ghoussoub Changfeng Gui	1
+ PDF Chat	Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation	2010	Luis Caffarelli Alexis Vasseur	1
+	On Time-Splitting Spectral Approximations for the Schrödinger Equation in the Semiclassical Regime	2002	Weizhu Bao Shi Jin Peter A. Markowich	1
+ PDF Chat	Global well-posedness for the critical 2D dissipative quasi-geostrophic equation	2006	Alexander Kiselev Fëdor Nazarov Alexander Volberg	1
+ PDF Chat	Convergence of a Boundary Integral Method for Water Waves	1996	J. Thomas Beale Thomas Y. Hou John Lowengrub	1
+ PDF Chat	Local and global minimizers for a variational energy involving a fractional norm	2012	Giampiero Palatucci Ovidiu Savin Enrico Valdinoci	1
+	Fractional Laplacian phase transitions and boundary reactions: A geometric inequality and a symmetry result	2009	Yannick Sire Enrico Valdinoci	1
+	Sur Une Inégalité Intégarale	1930	Frédéric Riesz	1
+ PDF Chat	Generalized-stacking-fault energy surface and dislocation properties of aluminum	2000	Gang Lü Nicholas Kioussis Vasily V. Bulatov Efthimios Kaxiras	1
+	A nonlocal anisotropic model for phase transitions	1998	Giovanni Alberti Giovanni Bellettini	1
+	Growth rates for the linearized motion of fluid interfaces away from equilibrium	1993	J. Thomas Beale Thomas Y. Hou John Lowengrub	1
+ PDF Chat	On De Giorgi's conjecture in dimension N≥9	2011	Manuel del Pino Michał Kowalczyk Juncheng Wei	1
+ PDF Chat	Dynamics for Systems of Screw Dislocations	2015	Timothy Blass Irene Fonseca Giovanni Leoni Marco Morandotti	1
+	Some remarks about a notion of rearrangement	2000	Giovanni Alberti	1
+ PDF Chat	Asymptotics for the Fractional Allen–Cahn Equation and Stationary Nonlocal Minimal Surfaces	2018	Vincent Millot Yannick Sire Kelei Wang	1
+	New solutions of equations on $\mathbb {R}^n$	2001	E. N. Dancer	1
+ PDF Chat	On the Mathematical Description of Time-Dependent Surface Water Waves	2017	Wolf‐Patrick Düll	1
+ PDF Chat	Well-posedness in Sobolev spaces of the full water wave problem in 2-D	1997	Sijue Wu	1
+ PDF Chat	Rigidity of Minimizers in Nonlocal Phase Transitions II	2019	Ovidiu Savin	1
+	Mathematical validation of the Peierls--Nabarro model for edge dislocations	2019	Yuan Gao Jianguo Liu Tao Luo Yang Xiang	1
+ PDF Chat	On stable solutions for boundary reactions: a De Giorgi-type result in dimension 4 + 1	2019	Alessio Figalli Joaquim Serra	1
+ PDF Chat	A De Giorgi–Type Conjecture for Minimal Solutions to a Nonlinear Stokes Equation	2019	Radu Ignat Antonin Monteil	1
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	1
+ PDF Chat	Long time behavior of dynamic solution to Peierls–Nabarro dislocation model	2020	Yuan Gao Jian‐Guo Liu	1
+ PDF Chat	An Extension Problem Related to the Fractional Laplacian	2007	Luis Caffarelli Luís Silvestre	1
+ PDF Chat	Rigidity of minimizers in nonlocal phase transitions	2018	Ovidiu Savin	1
+ PDF Chat	Stochastic Peierls--Nabarro Model for Dislocations in High Entropy Alloys	2020	Tianpeng Jiang Yang Xiang Luchan Zhang	1
+ PDF Chat	Existence and uniqueness of bounded stable solutions to the Peierls–Nabarro model for curved dislocations	2021	Hongjie Dong Yuan Gao	1
+ PDF Chat	On the Motion of Curved Dislocations in Three Dimensions: Simplified Linearized Elasticity	2021	Irene Fonseca Janusz Ginster Stephan Wojtowytsch	1
+	Ten Equivalent Definitions of the Fractional Laplace Operator	2017	Mateusz Kwaśnicki	1