Long Fan

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All published works

Action	Title	Year	Authors
+	Convergence rates of vanishing diffusion limit on conservative form of Hsieh's equation	2021	Long Fan Nafissa T. Trouba
+ PDF Chat	Local well-posedness of solutions to the boundary layer equations for compressible two-fluid flow	2021	Long Fan Cheng‐Jie Liu Lizhi Ruan
+	Local well-posedness of solutions to the boundary layer equations for 2D compressible flow	2020	Long Fan Lizhi Ruan Anita Yang
+	BV estimates on Lax-Friedrichs' scheme for a radiating gas model with nonlinear radiative inhomogeneity	2020	Long Fan Yujia Ma Lizhi Ruan Weiqiang Wang
+ PDF Chat	Convergence rates to stationary solutions of a gas–liquid model with external forces	2012	Long Fan Qingqing Liu Changjiang Zhu

Common Coauthors

Coauthor	Papers Together
Lizhi Ruan	3
Anita Yang	1
Yujia Ma	1
Changjiang Zhu	1
Nafissa Toureche Trouba	1
Qingqing Liu	1
Cheng‐Jie Liu	1
Weiqiang Wang	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Asymptotic stability of a composite wave of two viscous shock waves for the one-dimensional radiative Euler equations	2018	Lili Fan Lizhi Ruan Wei Xiang	2
+	Boundary layer problems for the two-dimensional compressible Navier–Stokes equations	2015	Shengbo Gong Yan Guo Yaguang Wang	2
+	Well-posedness in Gevrey function spaces for the Prandtl equations with non-degenerate critical points	2019	Wei‐Xi Li Tong Yang	2
+	Well-posedness of the Prandtl equation in Sobolev spaces	2014	Radjesvarane Alexandre Yuxin Wang Chao-Jiang Xu Tong Yang	2
+	On the nonlinear instability of Euler and Prandtl equations	2000	Emmanuel Grenier	2
+	Well-posedness of Prandtl equations with non-compatible data	2013	Michele Cannone Maria Carmela Lombardo M. Sammartino	2
+	MHD Boundary Layers Theory in Sobolev Spaces Without Monotonicity I: Well‐Posedness Theory	2018	Cheng‐Jie Liu Feng Xie Tong Yang	2
+ PDF Chat	A well-posedness theory for the Prandtl equations in three space variables	2017	Cheng‐Jie Liu Yaguang Wang Tong Yang	2
+ PDF Chat	On the ill-posedness of the Prandtl equation	2009	David Gérard‐Varet Emmanuel Dormy	2
+	Long time well-posedness of Prandtl system with small and analytic initial data	2016	Ping Zhang Zhifei Zhang	2
+ PDF Chat	Local Well-Posedness of Prandtl Equations for Compressible Flow in Two Space Variables	2015	Yaguang Wang Feng Xie Tong Yang	2
+ PDF Chat	A note on Prandtl boundary layers	2011	Yan Guo Toan T. Nguyen	2
+	Zero Viscosity Limit for Analytic Solutions of the Navier-Stokes Equation on a Half-Space.¶ II. Construction of the Navier-Stokes Solution	1998	M. Sammartino Russel E. Caflisch	2
+	On the mathematical theory of boundary layer for an unsteady flow of incompressible fluid	1966	O A Oleĭnik	2
+	Blowup of solutions of the unsteady Prandtl's equation	1997	E Weinan Björn Engquist	2
+ PDF Chat	The inviscid limit and stability of characteristic boundary layers for the compressible Navier-Stokes equations with Navier-friction boundary conditions	2012	Ya-Guang Wang Mark Williams	2
+ PDF Chat	Global existence of weak solutions to the three-dimensional Prandtl equations with a special structure	2016	Cheng‐Jie Liu Yaguang Wang Tong Yang	2
+ PDF Chat	Remarks on the ill-posedness of the Prandtl equation	2012	David Gérard‐Varet Trung Hieu Nguyen	2
+ PDF Chat	On the Ill-Posedness of the Prandtl Equations in Three-Dimensional Space	2015	Cheng‐Jie Liu Yaguang Wang Tong Yang	2
+	Existence and Singularities for the Prandtl Boundary Layer Equations	2000	Russel E. Caflisch M. Sammartino	2
+ PDF Chat	Local‐in‐Time Existence and Uniqueness of Solutions to the Prandtl Equations by Energy Methods	2015	Nader Masmoudi Tak Kwong Wong	2
+	Zero Viscosity Limit for Analytic Solutions, of the Navier-Stokes Equation on a Half-Space.¶I. Existence for Euler and Prandtl Equations	1998	M. Sammartino Russel E. Caflisch	2
+	Properties of global decaying solution to the Cauchy problem of nonlinear evolution equations	2008	W. Allegretto Yanping Lin Zhi‐Yong Zhang	1
+	COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY-DEPENDENT VISCOSITY AND VACUUM	2001	Tong Yang Zheng‐an Yao Changjiang Zhu	1
+	Global Smooth Solutions to the Spatially Periodic Cauchy Problem for Dissipative Nonlinear Evolution Equations	1997	Ling Hsiao Huaiyu Jian	1
+	Existence and uniqueness of global weak solution to a two-phase flow model with vacuum	2010	Lei Yao Changjiang Zhu	1
+	On the dynamics of Navier–Stokes equations for a shallow water model	2011	Qin Duan	1
+	Spherically Symmetric Isentropic Compressible Flows with Density-Dependent Viscosity Coefficients	2008	Zhenhua Guo Quansen Jiu Zhouping Xin	1
+ PDF Chat	$L^1$-Stability of Constants in a Model for Radiating Gases	2003	Denis Serre	1
+	Free boundary value problems for the equation of one-dimensional motion of viscous gas	1989	Mari Okada	1
+	Asymptotic profile of solutions to nonlinear dissipative evolution system with ellipticity	2006	Kenji Nishihara	1
+	A note on boundary layer of a nonlinear evolution system with damping and diffusions	2015	Hongyun Peng Lizhi Ruan Jianlin Xiang	1
+	A Vacuum Problem for the One-Dimensional Compressible Navier–Stokes Equations with Density-Dependent Viscosity	2002	Tong Yang Huijiang Zhao	1
+	BV Estimates on Lax–Friedrichs' Scheme or a Model of Radiating Gas	2004	Tong Yang Huijiang Zhao	1
+	None	2002	Tong Yang Changjiang Zhu	1
+	Asymptotic stability of rarefaction wave for hyperbolic-elliptic coupled system in radiating gas	2007	Lizhi Ruan Jing Zhang	1
+	Global weak solutions for a viscous liquid–gas model with transition to single-phase gas flow and vacuum	2008	Steinar Evje Tore Flåtten Helmer André Friis	1
+	Initial value problem and relaxation limits of the hamer model for radiating gases in several space variables	2007	Marco Di Francesco	1
+	Global Behavior of Compressible Navier-Stokes Equations with a Degenerate Viscosity Coefficient	2006	Ting Zhang Daoyuan Fang	1
+	Optimal <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>1</mml:mn></mml:mrow></mml:msup></mml:math> rate of decay to diffusion waves for the Hamer model of radiating gases	2006	Marco Di Francesco Corrado Lattanzio	1
+	ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO A MODEL SYSTEM OF RADIATING GAS WITH DISCONTINUOUS INITIAL DATA	2000	Shinya Nishibata	1
+	Boundary Layers for the Navier–Stokes Equations of Compressible Heat-Conducting Flows with Cylindrical Symmetry	2009	Song Jiang Jianwen Zhang	1
+	THE ZERO DIFFUSION LIMIT FOR NONLINEAR HYPERBOLIC SYSTEM WITH DAMPING AND DIFFUSION	2008	KAIMAO CHEN Changjiang Zhu	1
+	Convergence Rates to Nonlinear Diffusion Waves for Solutions of System of Hyperbolic Conservation Laws with Damping	1996	Kenji Nishihara	1
+	Global Behavior of 1d-Viscous Compressible Barotropic Fluid with a Free Boundary and Large Data	2003	Ivan Straškraba Alexander Zlotnik	1
+	Small, medium and large shock waves for radiative Euler equations	2012	Corrado Mascia	1
+	Global decaying solution to dissipative nonlinear evolution equations with ellipticity	2010	Lizhi Ruan Zhi‐Yong Zhang	1
+	Global well-posedness and relaxation limits of a model for radiating gas	2003	Corrado Lattanzio Pierangelo Marcati	1
+ PDF Chat	Global Weak Solutions for a Gas-Liquid Model with External Forces and General Pressure Law	2011	Helmer André Friis Steinar Evje	1
+	On the cauchy problem for certain system of semilinear parabolic equations	1998	Huaiyu Jian Chen Donggui	1