Sufficient and Necessary Conditions for the fractional Gagliardo-Nirenberg Inequalities and applications to Navier-Stokes and generalized boson equations

Hichem Hajaiej, Luc Molinet, Tohru Ozawa, Baoxiang Wang

Type: Preprint

Publication Date: 2010-01-01

Citations: 25

DOI: https://doi.org/10.48550/arxiv.1004.4287

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Necessary and Sufficient Conditions for the Fractional Gagliardo-Nirenberg Inequalities and Applications to Navier-Stokes and Generalized Boson Equations (Harmonic Analysis and Nonlinear Partial Differential Equations)	2011	Hichem Hajaiej Luc Molinet Tohru Ozawa Baoxiang Wang
+	On the uniqueness of mild solutions to the time-fractional Navier-Stokes equations in $L^{N} \left( \mathbb{R} ^{N}\right) ^{N} $	2019	J. Vanterler da C. Sousa E. Capelas de Oliveira
+	Strichartz type estimates for fractional heat equations	2009	Zhichun Zhai
+	Weak solutions to the time-fractional g-Navier-Stokes equations and optimal control	2020	Sultana Ben Aadi Khalid Akhlil Khadija Aayadi
+	Weak solutions to the time-fractional g-Navier-Stokes equations and optimal control	2020	Sultana Ben Aadi Khalid Akhlil Khadija Aayadi
+	Strichartz type estimates for fractional heat equations	2009	Zhichun Zhai
+ PDF Chat	Cauchy problems for Keller–Segel type time–space fractional diffusion equation	2018	Lei Li Jian‐Guo Liu Lizhen Wang
+	Density of weak solutions of the fractional Navier-Stokes equations in the smooth divergence-free vector fields	2023	Michele Gorini
+ PDF Chat	Time-Fractional Allen–Cahn Equations: Analysis and Numerical Methods	2020	Qiang Du Jiang Yang Zhi Zhou
+ PDF Chat	Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space	2025	Changxing Miao B. Zhao
+	Mathematical Analysis of a Navier–Stokes Model with a Mittag–Leffler Kernel	2024	Victor Tebogo Monyayi Emile Franc Doungmo Goufo Ignace Tchangou Toudjeu
+	Efficient results on fractional Langevin-Sturm-Liouville problem via generalized Caputo-Atangana-Baleanu derivatives	2024	Sabri T. M. Thabet Abdelatif Boutiara Mohammad Esmael Samei Imed Kédim Miguel Vivas–Cortez
+	Stochastic 2D Keller-Segel-Navier-Stokes system with fractional dissipation and logistic source	2023	Lei Zhang Bin Liu
+ PDF Chat	Solutions for the Navier-Stokes equations with critical and subcritical fractional dissipation in Lei-Lin and Lei-Lin-Gevrey spaces	2023	Wilberclay G. Melo Natã Firmino Rocha Natielle dos Santos Costa
+	Weak solutions of the time-fractional Navier–Stokes equations and optimal control	2016	Yong Zhou Li Peng
+	Some compactness criteria for weak solutions of time fractional PDEs	2017	Li Lei Jian‐Guo Liu
+	ON THE NONLINEAR GENERALIZED LANGEVIN EQUATION INVOLVING ψ-CAPUTO FRACTIONAL DERIVATIVES	2021	Nguyen Minh Dien Dang Duc Trong
+ PDF Chat	Ψ-Bielecki-type norm inequalities for a generalized Sturm–Liouville–Langevin differential equation involving Ψ-Caputo fractional derivative	2024	Hacen Serrai Brahim Tellab Sina Etemad İbrahim Avcı Shahram Rezapour
+ PDF Chat	Some Compactness Criteria for Weak Solutions of Time Fractional PDEs	2018	Li Lei Jian‐Guo Liu
+	Optimal Mild Solutions of Time-Fractional Stochastic Navier-Stokes Equation with Rosenblatt Process in Hilbert Space	2021	K. Anukiruthika P. Muthukumar

Works That Cite This (26)

Action	Title	Year	Authors
+ PDF Chat	Global regularity for a class of 2D generalized tropical climate models	2018	Bo‐Qing Dong Wenjuan Wang Jiahong Wu Zhuan Ye Hui Zhang
+	On regularity criteria of the 2D generalized MHD equations	2018	Zhuan Ye
+	Nonhomogeneous Boundary Value Problems of Nonlinear Schrödinger Equations in a Half Plane	2016	Yu Ran Shu-Ming Sun Bing‐Yu Zhang
+	Existence of minimizers of functionals involving the fractional gradient in the absence of compactness, symmetry and monotonicity	2012	Hichem Hajaiej
+	On the constants for some fractional Gagliardo–Nirenberg and Sobolev inequalities	2017	Carlo Morosi Livio Pizzocchero
+	Fractional Gagliardo–Nirenberg and Hardy inequalities under Lorentz norms	2012	Hichem Hajaiej Xinwei Yu Zhichun Zhai
+ PDF Chat	Existence and stability of standing waves for nonlinear fractional Schrödinger equation with logarithmic nonlinearity	2017	Alex H. Ardila
+	Conformal metrics with prescribed fractional Q-curvatures on the standard n-dimensional sphere	2019	Khadijah Sharaf Hichem Chtioui
+	Global well-posedness of the 2D Boussinesq equations with fractional Laplacian dissipation	2016	Zhuan Ye Xiaojing Xu
+ PDF Chat	Polynomial bound and nonlinear smoothing for the Benjamin-Ono equation on the circle	2021	Bradley Isom Dionyssios Mantzavinos Seungly Oh Atanas Stefanov

Works Cited by This (20)

Action	Title	Year	Authors
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein
+ PDF Chat	Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case	1999	Jean Bourgain
+	Theory and Applications of Fractional Differential Equations	2006	Anatoly A. Kilbas H. M. Srivastava Juan J. Trujillo
+	Interpolation inequalities in Besov spaces	2002	Shuji Machihara Tohru Ozawa
+ PDF Chat	Dynamical Collapse of White Dwarfs in Hartree- and Hartree-Fock Theory	2007	Jürg Fröhlich Enno Lenzmann
+	A weak-strong convergence property and symmetry of minimizers of constrained variational problems in $\mathbb{R}^N$	2010	Hichem Hajaiej Stefan Krömer
+	StrongL p -solutions of the Navier-Stokes equation inR m , with applications to weak solutions	1984	Tosio Kato
+ PDF Chat	Nonlinear approximation and the space BV[inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /]	1999	Albert Cohen Ronald DeVore Pencho Petrushev Hong Xu
+	Nonlocal models for nonlinear, dispersive waves	1989	L. Abdelouhab Jerry L. Bona M. Felland Jean‐Claude Saut
+	GAGLIARDO–NIRENBERG INEQUALITIES WITH A BMO TERM	2006	Paweł Strzelecki