Local Existence and Uniqueness of Navier–Stokes–Schrödinger System

Jiaxi Huang

Type: Article

Publication Date: 2021-01-12

Citations: 6

DOI: https://doi.org/10.1007/s40304-020-00214-7

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Locations

Communications in Mathematics and Statistics - View

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+	Asymptotic behavior of incompressible Schrödinger flow for small data in three dimensions	2024	Jiaxi Huang Lifeng Zhao
+ PDF Chat	Existence and Uniqueness of Local Regular Solution to the Schrödinger Flow from a Bounded Domain in $${\mathbb {R}}^3$$ into $${\mathbb {S}}^2$$	2023	Bo Chen Youde Wang
+	Existence and uniqueness of local regular solution to the Schrödinger flow from a bounded domain in $\mathbb{R}^3$ into $\mathbb{S}^2$	2021	Bo Chen Youde Wang
+	Global existence of smooth solutions for the incompressible Landau–Lifshitz–Gilbert flow with Dzyaloshinskii–Moriya interaction in two‐dimensional torus and ℝ2	2024	Guangwu Wang Boling Guo
+	Small data global regularity for Navier-Stokes-Schr\"{o}dinger map system in three dimensions	2021	Jiaxi Huang Lifeng Zhao
+	Global Smooth Solution to the Incompressible Navier-Stokes-Landau-Lifshitz Equations	2022	Guangwu Wang Youde Wang

Works Cited by This (24)

Action	Title	Year	Authors
+	Local Schrödinger flow into Kähler manifolds	2001	Weiyue Ding Youde Wang
+	L2 decay for weak solutions of the Navier-Stokes equations	1985	María E. Schonbek
+ PDF Chat	Equivariant Schrödinger maps in two spatial dimensions	2013	Ioan Bejenaru Alexandru D. Ionescu Carlos E. Kenig Daniel Tataru
+ PDF Chat	Global existence and uniqueness of Schrödinger maps in dimensions<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>d</mml:mi><mml:mo>⩾</mml:mo><mml:mn>4</mml:mn></mml:math>	2007	Ioan Bejenaru Alexandru D. Ionescu Carlos E. Kenig
+ PDF Chat	Blow Up Dynamics for Equivariant Critical Schrödinger Maps	2014	Galina Perelman
+	Regularity criteria for the Navier–Stokes–Landau–Lifshitz system	2009	Jishan Fan Hui Gao Boling Guo
+ PDF Chat	Asymptotic Stability, Concentration, and Oscillation in Harmonic Map Heat-Flow, Landau-Lifshitz, and Schrödinger Maps on $${\mathbb R^2}$$	2010	Stephen J. Gustafson Kenji Nakanishi Tai‐Peng Tsai
+	Schrödinger flow of maps into symplectic manifolds	1998	Weiyue Ding Youde Wang
+ PDF Chat	Global Results for Schrödinger Maps in Dimensions<i>n</i> ≥ 3	2008	Ioan Bejenaru
+	Blowup dynamics for smooth data equivariant solutions to the critical Schrödinger map problem	2012	Frank Merle Pierre Raphaël Igor Rodnianski