Green’s function and pointwise convergence for compressible Navier-Stokes equations

Shijin Deng, Shih‐Hsien Yu

Type: Article

Publication Date: 2017-02-02

Citations: 21

DOI: https://doi.org/10.1090/qam/1461

View Publication

Locations

Quarterly of Applied Mathematics - View

Similar Works

Action	Title	Year	Authors
+	Wave propagation for the compressible Navier–Stokes equations	2015	Tai-Ping Liu Se Eun Noh
+	The Green's function of the Navier-Stokes equations for gas dynamics in R3	2004	David Linnan Li
+ PDF Chat	On Continuation Criteria for the Full Compressible Navier-Stokes Equations in Lorentz Spaces	2022	Yanqing Wang Wei Wei Gang Wu Yulin Ye
+ PDF Chat	Time-Asymptotic Expansion with Pointwise Remainder Estimates for 1D Viscous Compressible Flow	2023	Kai Koike
+ PDF Chat	The Green Tensor of the Nonstationary Stokes System in the Half Space	2023	Kyungkeun Kang Baishun Lai Chen‐Chih Lai Tai‐Peng Tsai
+	The Green tensor of the nonstationary Stokes system in the half space	2020	Kyungkeun Kang Baishun Lai Chen‐Chih Lai Tai‐Peng Tsai
+	CONVERGENCE OF CHORIN-MARSDEN FORMULA FOR THE NAVIER-STOKES EQUATIONS ON CONVEX DOMAINS	1999	Ying Ying Lā
+	Long-time behavior of a point mass in a one-dimensional viscous compressible fluid and pointwise estimates of solutions	2020	Kai Koike
+	Pointwise convergence to shock waves for viscous conservation laws	1997	Tai-Ping Liu
+	Quelques résultats en analyse théorique et numérique pour les équations de Navier-Stokes	2016	David Maltese
+	Fourier analysis methods for the compressible Navier-Stokes equations	2015	Raphaël Danchin
+	Long time decay for 3D Navier-Stokes equations in Sobolev-Gevrey spaces	2016	Jamel Benameur Lotfi Jlali
+ PDF Chat	Asymptotic approximation of a modified compressible Navier-Stokes system	2023	Ryan Goh C. Eugene Wayne Roland Welter
+	Pointwise Green's function approach to stability for scalar conservation laws	1999	Peter Howard
+	Analysis on Morrey Spaces and Applications to Navier-Stokes and Other Evolution Equations	1992	Michael E. Taylor
+	Decay estimates of solutions to the compressible Navier–Stokes–Maxwell system in $\mathbb{R}^3$	2016	Zhong Tan Leilei Tong
+	A spatial decay estimate for the Navier-Stokes equations	1979	Alan R. Elcrat V. G. Sigillito
+	Quelques résultats en analyse théorique et numérique pour les équations de Navier-Stokes compressibles	2016	David Maltese
+ PDF Chat	Global existence for 1D, compressible, isentropic Navier-Stokes equations with large initial data	1987	David Hoff
+	Decay estimates for the compressible Navier-Stokes equations in the half-space	1988	Klaus Deckelnick

Works That Cite This (21)

Action	Title	Year	Authors
+	Pointwise structure of a radiation hydrodynamic model in one‐dimension	2020	Shijin Deng Xiongfeng Yang
+	Pointwise space–time estimates for compressible Navier–Stokes equations for a reacting mixture	2022	Wenjun Wang Zhigang Wu
+	Space-time estimates of the 3D bipolar compressible Navier-Stokes-Poisson system with unequal viscosities	2024	Zhigang Wu Weike Wang
+ PDF Chat	Space-time behavior for radiative hydrodynamics model with or without heat conduction	2023	Mengqian Liu Zhigang Wu
+	Propagation of Rough Initial Data for Navier–Stokes Equation	2023	Haitao Wang Xiongtao Zhang
+	Initial–boundary value problem of Euler equations with damping in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml1" display="inline" overflow="scroll" altimg="si1.gif"><mml:msubsup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msubsup></mml:math>	2018	Linglong Du
+	Generalized Huygens' principle for bipolar non-isentropic compressible Navier-Stokes-Poisson system in dimension three	2020	Zhigang Wu Weike Wang
+	Pointwise space-time estimates of compressible Oldroyd-B model	2023	Yujie Li Zhigang Wu
+ PDF Chat	The pointwise estimates of solutions for the 3D incompressible viscoelastic fluids	2020	Yige Bai Ting Zhang
+	Half space problem of the system of compressible adiabatic flow through porous media in multi-D	2020	Shijin Deng

Works Cited by This (35)

Action	Title	Year	Authors
+ PDF Chat	The initial value problem for the equations of motion of viscous and heat-conductive gases	1980	Akitaka Matsumura Takaaki Nishida
+	None	1999	Jonathan Goodman Judith R. Miller
+	Multidimensional viscous shocks I: Degenerate symmetrizers and long time stability	2004	Olivier Guès Guy Métivier Mark Williams Kevin Zumbrun
+	Initial and Shock Layers for Boltzmann Equation	2013	Shih‐Hsien Yu
+	Large-time behaviour of solutions to hyperbolic–parabolic systems of conservation laws and applications	1987	Shuichi Kawashima
+ PDF Chat	Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation	1985	Yasushi Shizuta Shuichi Kawashima
+	Initial‐boundary value problem for one‐dimensional wave solutions of the Boltzmann equation	2006	Tai‐Ping Liu Shih‐Hsien Yu
+	The Green's function of the Navier-Stokes equations for gas dynamics in R3	2004	David Linnan Li
+	Nonlinear wave propagations over a Boltzmann shock profile	2010	Shih‐Hsien Yu
+	Global Existence of Smooth Solutions for Partially Dissipative Hyperbolic Systems with a Convex Entropy	2003	Bernard Hanouzet Roberto Natalini