Shihui Zhu

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All published works

Action	Title	Year	Authors
+	Existence of dark solitons for Kundu–Eckhaus equations	2025	Ling Pan Shihui Zhu
+	Solitary wave solutions and their limits to the fractional schrödinger system	2024	Guoyi Fu Xiaohong Chen Shihui Zhu
+	Existence and regularity for global weak solutions to the 𝜆-family water wave equations	2023	Geng Chen Yannan Shen Shihui Zhu
+	Exact thresholds for global existence to the nonlinear beam equations with and without a damping	2023	Yiyin Yuan Shuai Tian Jun Qing Shihui Zhu
+	Cross-invariant manifolds for the Gross–Pitaevskii–Poisson equation	2022	X. K. Zhou Shihui Zhu
+	Dynamics of the nonlinear Hartree equation with a focusing and defocusing perturbation	2022	Shuai Tian Shihui Zhu
+	Stability and instability of standing waves for the fractional nonlinear Schrödinger equations	2021	Binhua Feng Shihui Zhu
+	Existence and regularity for global solutions including breaking waves from Camassa-Holm and Novikov equations to $λ$-family equations	2021	Geng Chen Yannan Shen Shihui Zhu
+	Peakon, rational function and periodic solutions for Tzitzeica–Dodd–Bullough type equations	2020	Jiangrui Zhou Rui Zhou Shihui Zhu
+	Orbital Stability of Standing Waves for BNLS]{Orbital Stability of Standing Waves for a fourth-order nonlinear Schr\"{o}dinger equation with the mixed dispersions	2019	Tingjian Luo Shijun Zheng Shihui Zhu
+	Sharp energy criteria and singularity of blow-up solutions for the Davey–Stewartson system	2019	Jian Zhang Shihui Zhu
+	On stability and instability of standing waves for the nonlinear Schrödinger equation with an inverse-square potential	2018	Abdelwahab Bensouilah Van Duong Dinh Shihui Zhu
+ PDF Chat	Sharp threshold of blow-up and scattering for the fractional Hartree equation	2017	Qing Guo Shihui Zhu
+	Sharp Criteria of Scattering for the Fractional NLS	2017	Qing Guo Shihui Zhu
+	Existence of stable standing waves for the fractional Schrödinger equations with combined nonlinearities	2016	Shihui Zhu
+	Existence and uniqueness of global weak solutions of the Camassa-Holm equation with a forcing	2016	Shihui Zhu
+	On the blow-up solutions for the nonlinear fractional Schrödinger equation	2016	Shihui Zhu
+	On the Davey-Stewartson system with competing nonlinearities	2016	Shihui Zhu
+	Existence and Uniqueness of Global Weak solutions of the Camassa-Holm Equation with a Forcing	2016	Shihui Zhu
+	Stability of Standing Waves for the Nonlinear Fractional Schrödinger Equation	2015	Jian Zhang Shihui Zhu
+	Blow-up dynamics of L 2 solutions for the Davey-Stewartson system	2015	Shihui Zhu
+	Blow-up rate, mass concentration and asymptotic profile of blow-up solutions for the nonlinear inhomogeneous Schrödinger equation	2014	Shihui Zhu Han Yang Jian Zhang
+	Blow-up solutions for the inhomogeneous Schrödinger equation with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math>supercritical nonlinearity	2013	Shihui Zhu
+	Biharmonic nonlinear Schrödinger equation and the profile decomposition	2011	Shihui Zhu Jian Zhang Han Yang
+	Blow-up of rough solutions to the fourth-order nonlinear Schrödinger equation	2011	Shihui Zhu Han Yang Jian Zhang
+	Limiting profile of blow-up solutions for the Gross-Pitaevskii equation	2009	Shihui Zhu Jian Zhang Xiaoguang Li

Common Coauthors

Coauthor	Papers Together
Jian Zhang	4
Han Yang	3
Shuai Tian	2
Qing Guo	2
Yannan Shen	2
Abdelwahab Bensouilah	1
X. K. Zhou	1
Jiangrui Zhou	1
Rui Zhou	1
Van Duong Dinh	1
Xiaohong Chen	1
Xiaoguang Li	1
Jian Zhang	1
Geng Chen	1
Geng Chen	1
Shijun Zheng	1
Ling Pan	1
Jian Zhang	1
Guoyi Fu	1
Binhua Feng	1
Yiyin Yuan	1
Tingjian Luo	1
Jun Qing	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Nonlinear Schr�dinger equations and sharp interpolation estimates	1983	Michael I. Weinstein	10
+	Semilinear Schrödinger Equations	2003	Thierry Cazenave	9
+	On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations	1986	Michael I. Weinstein	8
+	Sharp conditions of global existence for nonlinear Schrödinger and Klein–Gordon equations	2002	Jian Zhang	7
+ PDF Chat	Description of the lack of compactness for the Sobolev imbedding	1998	Patrick Gérard	7
+ PDF Chat	The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation	2005	Frank Merle Pierre Raphaël	6
+	None	2005	Taoufik Hmidi Sahbi Keraani	6
+	L2 concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity	1990	Frank Merle Yoshio Tsutsumi	6
+	On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations	1977	Robert T. Glassey	6
+	On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case	1979	J. Ginibre G. Velo	5
+ PDF Chat	Blowup for nonlinear wave equations describing boson stars	2007	Jürg Fröhlich Enno Lenzmann	5
+ PDF Chat	Fractional Schrödinger equation	2002	Nick Laskin	5
+ PDF Chat	Fractional quantum mechanics and Lévy path integrals	2000	Nikolai Laskin	5
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	4
+	A Relation Between Pointwise Convergence of Functions and Convergence of Functionals	1983	Haı̈m Brezis Élliott H. Lieb	4
+	Existence of stable standing waves for the fractional Schrödinger equations with combined nonlinearities	2016	Shihui Zhu	4
+ PDF Chat	Sharp blow-up criteria for the Davey-Stewartson system in R³	2011	Jian Zhang Shihui Zhu	4
+	On the blow-up solutions for the nonlinear fractional Schrödinger equation	2016	Shihui Zhu	4
+	Blow-up of H1 solution for the nonlinear Schrödinger equation	1991	Takayoshi Ogawa Yoshio Tsutsumi	4
+	Symplectic structures, their Bäcklund transformations and hereditary symmetries	1981	Benno Fuchssteiner A. S. Fokas	4
+ PDF Chat	Mean field dynamics of boson stars	2006	Alexander Elgart Benjamin Schlein	4
+	Global well-posedness and scattering for the focusing energy-critical nonlinear Schrödinger equations of fourth order in the radial case	2008	Changxing Miao Guixiang Xu Lifeng Zhao	4
+ PDF Chat	Wave breaking for nonlinear nonlocal shallow water equations	1998	Adrian Constantin Joachim Escher	4
+	Existence and stability of standing waves for nonlinear fractional Schrödinger equations	2012	Boling Guo Daiwen Huang	4
+ PDF Chat	An integrable shallow water equation with peaked solitons	1993	Roberto Camassa Darryl D. Holm	4
+ PDF Chat	A relation between pointwise convergence of functions and convergence of functionals	1983	Haı̈m Brezis Élliott H. Lieb	4
+	Uniqueness of conservative solutions to the Camassa-Holm equation via characteristics	2014	Alberto Bressan Geng Chen Qingtian Zhang	4
+	On a sharp lower bound on the blow-up rate for the 𝐿² critical nonlinear Schrödinger equation	2005	Frank Merle Pierre Raphaël	4
+ PDF Chat	On the orbital stability of fractional Schrödinger equations	2013	Yonggeun Cho Hichem Hajaiej Gyeongha Hwang Tohru Ozawa	4
+	Existence and regularity of solutions in nonlinear wave equations	2015	Geng Chen Yannan Shen	4
+	Stability of Standing Waves for the Nonlinear Fractional Schrödinger Equation	2015	Jian Zhang Shihui Zhu	4
+	Existence of minimizers of functionals involving the fractional gradient in the absence of compactness, symmetry and monotonicity	2012	Hichem Hajaiej	3
+	Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power	1993	Franck Merle	3
+	Blowup for fractional NLS	2016	Thomas Boulenger Dominik Himmelsbach Enno Lenzmann	3
+ PDF Chat	On the blow-up phenomenon for the mass-critical focusing Hartree equation in R<sup>4</sup>	2010	Changxing Miao Guixiang Xu Lifeng Zhao	3
+	Sharp Threshold for Blowup and Global Existence in Nonlinear Schrödinger Equations Under a Harmonic Potential	2005	Jian Zhang	3
+ PDF Chat	Sharp threshold of blow-up and scattering for the fractional Hartree equation	2017	Qing Guo Shihui Zhu	3
+ PDF Chat	Global well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrödinger equation in the radial case	2006	Carlos E. Kenig Frank Merle	3
+ PDF Chat	On Blow-up Solutions to the 3D Cubic Nonlinear Schrodinger Equation	2008	Justin Holmer Svetlana Roudenko	3
+ PDF Chat	GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION	2006	Alberto Bressan Adrian Constantin	3
+	Profiles and Quantization of the Blow Up Mass for Critical Nonlinear Schr�dinger Equation	2004	Frank Merle Pierre Raphaël	3
+	On universality of blow-up profile for L 2 critical nonlinear Schr�dinger equation	2004	Frank Merle Pierre Raphaël	3
+	None	2000	Jian Zhang	3
+ PDF Chat	Singular Solutions of the Biharmonic Nonlinear Schrödinger Equation	2010	Guy Baruch Gadi Fibich Elad Mandelbaum	3
+ PDF Chat	On the Cauchy Problem of Fractional Schrödinger Equation with Hartree Type Nonlinearity	2013	Yonggeun Cho Hichem Hajaiej Gyeongha Hwang Tohru Ozawa	3
+ PDF Chat	Efficient numerical methods for computing ground states and dynamics of dipolar Bose–Einstein condensates	2010	Weizhu Bao Yongyong Cai Hanquan Wang	3
+	Rate of L2 concentration of blow-up solutions for the nonlinear schrödinger equation with critical power	1990	Yoshio Tsutsumi	3
+ PDF Chat	Existence of solitary waves in higher dimensions	1977	Walter A. Strauss	3
+ PDF Chat	Limiting profile of the blow-up solutions for the fourth-order nonlinear Schrödinger equation	2010	Han Yang Jian Zhang Shihui Zhu	3
+	On the weak solutions to a shallow water equation	2000	Zhouping Xin Ping Zhang	3