Strong Instability of Standing Waves for the Nonlinear Schrödinger Equation in Trapped Dipolar Quantum Gases

Binhua Feng, Qingxuan Wang

Type: Article

Publication Date: 2020-08-18

Citations: 16

DOI: https://doi.org/10.1007/s10884-020-09881-0

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Locations

Journal of Dynamics and Differential Equations - View

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+	On the instability of standing waves for 3D dipolar Bose–Einstein condensates	2021	Van Duong Dinh
+	Existence and concentration of solutions to the Gross–Pitaevskii equation with steep potential well	2021	Huifang Jia Xiao Luo
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Works Cited by This (43)

Action	Title	Year	Authors
+	Blow-up solutions and strong instability of standing waves for the generalized Davey-Stewartson system in $\mathbb {R}^2$	1995	Masahito Ohta
+ PDF Chat	Stability and instability of standing waves for the generalized Davey-Stewartson system	1995	Masahito Ohta
+	On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations	1977	Robert T. Glassey
+	The threshold for the focusing Gross–Pitaevskii equation with trapped dipolar quantum gases	2011	Li Ma Pei Cao
+	Strong instability of standing waves for Hartree equation with harmonic potential	2007	Yanjin Wang
+	Sharp Threshold for Blowup and Global Existence in Nonlinear Schrödinger Equations Under a Harmonic Potential	2005	Jian Zhang
+	Instability of standing waves for the generalized Davey-Stewartson system	1995	Masahito Ohta
+ PDF Chat	A relation between pointwise convergence of functions and convergence of functionals	1983	Haı̈m Brezis Élliott H. Lieb
+ PDF Chat	Sharp Threshold of the Gross-Pitaevskii Equation with Trapped Dipolar Quantum Gases	2011	Li Ma Jing Wang
+ PDF Chat	Complementary study of the standing wave solutions of the Gross-Pitaevskii equation in dipolar quantum gases	2015	Rémi Carles Hichem Hajaiej