Ronghua Pan

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All published works

Action	Title	Year	Authors
+	Stability and instability of the 3D incompressible viscous flow in a bounded domain	2022	Fucai Li Ronghua Pan Zhipeng Zhang
+ PDF Chat	Decay estimates of solutions to the compressible micropolar fluids system in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math>	2021	Leilei Tong Ronghua Pan Zhong Tan
+ PDF Chat	The sharp time decay rate of the isentropic Navier-Stokes system in <inline-formula><tex-math id="M1">$ {\mathop{\mathbb R\kern 0pt}\nolimits}^3 $</tex-math></inline-formula>	2020	Yuhui Chen Ronghua Pan Leilei Tong
+ PDF Chat	On Classical Solutions for Viscous Polytropic Fluids with Degenerate Viscosities and Vacuum	2019	Yachun Li Ronghua Pan Shengguo Zhu
+ PDF Chat	A polygonal scheme and the lower bound on density for the isentropic gas dynamics	2019	Geng Chen Ronghua Pan Shengguo Zhu
+ PDF Chat	Modeling Aurora Type Phenomena by Short Wave-Long Wave Interactions in Multidimensional Large Magnetohydrodynamic Flows	2018	Hermano Frid Daniel Marroquin Ronghua Pan
+ PDF Chat	Global Classical Solutions of Three Dimensional Viscous MHD System Without Magnetic Diffusion on Periodic Boxes	2017	Ronghua Pan Yi Zhou Yi Zhu
+ PDF Chat	Singularity Formation for the Compressible Euler Equations	2017	Geng Chen Ronghua Pan Shengguo Zhu
+ PDF Chat	Global smooth solutions in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math> to short wave-long wave interactions in magnetohydrodynamics	2016	Hermano Frid Junxiong Jia Ronghua Pan
+	Singularity formation for one dimensional full Euler equations	2016	Ronghua Pan Yi Zhu
+ PDF Chat	On Classical Solutions to 2D Shallow Water Equations with Degenerate Viscosities	2016	Yachun Li Ronghua Pan Shengguo Zhu
+	Recent progress on classical solutions for compressible isentropic Navier-Stokes equations with degenerate viscosities and vacuum	2016	Yachun Li Ronghua Pan Shengguo Zhu
+	Initial boundary value problem for 2D Boussinesq equations with temperature-dependent diffusion	2015	Huapeng Li Ronghua Pan Weizhe Zhang
+	Quantitative decay of a one-dimensional hybrid chemotaxis model with large data	2015	Dong Li Ronghua Pan Kun Zhao
+	On classical solutions for viscous polytropic fluids with degenerate viscosities and vacuum	2015	Yachun Li Ronghua Pan Shengguo Zhu
+ PDF Chat	Compressible Navier-Stokes equations with temperature dependent heat conductivity	2014	Ronghua Pan Weizhe Zhang
+	2D compressible Navier-Stokes equations with degenerate viscosities and far field vacuum	2014	Yachun Li Ronghua Pan Shengguo Zhu
+	On Isentropic Approximations for Compressible Euler Equations	2014	Junxiong Jia Ronghua Pan
+	Singularity formation for compressible Euler equations	2014	Geng Chen Ronghua Pan Shengguo Zhu
+	Lower bound of density for Lipschitz continuous solutions in the isentropic gas dynamics	2014	Geng Chen Ronghua Pan Shengguo Zhu
+	Global Smooth Solutions in $\mathbb{R}^3$ to Short Wave-Long Wave Interactions Systems for Viscous Compressible Fluids	2014	Hermano Frid Ronghua Pan Weizhe Zhang
+	On classical solutions to 2D Shallow water equations with degenerate viscosities	2014	Yachun Li Ronghua Pan Shengguo Zhu
+	Zero dissipation limit to a Riemann solution consisting of two shock waves for the 1D compressible isentropic Navier-Stokes equations	2013	Yinghui Zhang Ronghua Pan Zhong Tan
+	Zero dissipation limit with two interacting shocks of the 1D non-isentropic Navier-Stokes equation	2013	Yinghui Zhang Ronghua Pan Yi Wang Zhong Tan
+	Darcy's Law in One-dimensional Isentropic Porous Medium Flow	2012	Ronghua Pan
+	Global Dynamics of a Hyperbolic-Parabolic Model Arising from Chemotaxis	2012	Tong Li Ronghua Pan Kun Zhao
+	Initial Boundary Value Problem for Two-Dimensional Viscous Boussinesq Equations	2010	Ming‐Jun Lai Ronghua Pan Kun Zhao
+	L 1 Convergence to the Barenblatt Solution for Compressible Euler Equations with Damping	2010	Feimin Huang Ronghua Pan Zhen Wang
+	Vanishing Viscosity Limit for Isentropic Navier-Stokes Equations with Density-dependent Viscosity	2010	Feimin Huang Ronghua Pan Tian-Yi Wang Yong Wang Xiaoyun Zhai
+	Initial Boundary Value Problem for Compressible Euler Equations with Relaxation	2010	Qiangchang Ju Yong Li Ronghua Pan
+ PDF Chat	Global $BV$ Solutions for the<i>P</i>-System with Frictional Damping	2009	Constantine M. Dafermos Ronghua Pan
+	Initial boundary value problems for compressible Euler equations with damping	2009	Ronghua Pan Kun Zhao
+	The 3D compressible Euler equations with damping in a bounded domain	2008	Ronghua Pan Kun Zhao
+ PDF Chat	Large time behavior of Euler-Poisson system for semiconductor	2008	Feimin Huang Ronghua Pan Huimin Yu
+ PDF Chat	Stability of contact discontinuity for Jin–Xin relaxation system	2008	Feimin Huang Ronghua Pan Yi Wang
+ PDF Chat	Initial boundary value problem for compressible Euler equations with damping	2008	Ronghua Pan Kun Zhao
+ PDF Chat	Blowup of Smooth Solutions for Relativistic Euler Equations	2005	Ronghua Pan Joel Smoller
+	Asymptotic behavior of the solutions to the damped compressible Euler equations with vacuum	2005	Feimin Huang Ronghua Pan
+	Convergence to the Barenblatt Solution for the Compressible Euler Equations with Damping and Vacuum	2005	Feimin Huang Pierangelo Marcati Ronghua Pan
+ PDF Chat	Darcy's law as long-time limit of adiabatic porous media flow	2004	Ronghua Pan
+ PDF Chat	Convergence Rate for Compressible Euler Equations with Damping and Vacuum	2003	Feimin Huang Ronghua Pan
+ PDF Chat	Boundary effects and large time behavior for the system of compressible adiabatic flow through porous media	2001	Ronghua Pan
+ PDF Chat	On the Diffusive Profiles for the System of Compressible Adiabatic Flow through Porous Media	2001	Pierangelo Marcati Ronghua Pan
+	Zero Relaxation Limit for Piecewise Smooth Solutions to a Rate-Type Viscoelastic System in the Presence of Shocks	2000	Hailiang Li Ronghua Pan
+	The zero relaxation behavior of piecewise smooth solutions to the reacting flow model in the presence of shocks	2000	Ling Hsiao Hailiang Li Ronghua Pan
+	Cauchy problem for compressible Euler equations with damping	2000	Pierangelo Marcati Ronghua Pan
+ PDF Chat	The linear stability of traveling wave solutions for a reacting flow model with source term	2000	Ling Hsiao Ronghua Pan
+	Initial Boundary Value Problem for the System of Compressible Adiabatic Flow Through Porous Media	1999	Ling Hsiao Ronghua Pan
+	NONLINEAR STABILITY OF TWO-MODE SHOCK PROFILES FOR A RATE-TYPE VISCOELASTIC SYSTEM WITH RELAXATION	1999	Ling Hsiao Ronghua Pan
+	Zero Relaxation Limit to Centered Rarefaction Waves for a Rate-Type Viscoelastic System	1999	Ling Hsiao Ronghua Pan
+	NONLINEAR STABILITY OF RAREFACTION WAVES FOR A RATE-TYPE VISCOELASTIC SYSTEM	1999	Ling Hsiao Ronghua Pan
+	The Relaxation Approximation to Hyperbolic System of Conservation Laws	1999	Hsiao Ling Ronghua Pan
+	THE NONLINEAR STABILITY OF TRAVELLING WAVE SOLUTIONS FOR A REACTING FLOW MODEL WITH SOURCE TERM	1999	Ronghua Pan

Common Coauthors

Coauthor	Papers Together
Shengguo Zhu	10
Feimin Huang	7
Kun Zhao	6
Yachun Li	6
Ling Hsiao	6
Geng Chen	4
Hermano Frid	3
Weizhe Zhang	3
Zhong Tan	3
Pierangelo Marcati	3
Yi Zhu	2
Leilei Tong	2
Junxiong Jia	2
Yinghui Zhang	2
Yi Wang	2
Hailiang Li	1
Tian-Yi Wang	1
Huapeng Li	1
Fucai Li	1
Qiangchang Ju	1
Hsiao Ling	1
Zhen Wang	1
Joel Smoller	1
Constantine M. Dafermos	1
Daniel Marroquin	1
Yi Zhou	1
Ming‐Jun Lai	1
Xiaoyun Zhai	1
Yuhui Chen	1
Huimin Yu	1
Zhipeng Zhang	1
Yong Li	1
Tong Li	1
Dong Li	1
Yong Wang	1
Hailiang Li	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Convergence Rates to Nonlinear Diffusion Waves for Solutions of System of Hyperbolic Conservation Laws with Damping	1996	Kenji Nishihara	12
+ PDF Chat	Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping	1992	Ling Hsiao Tai-Ping Liu	12
+	A system of hyperbolic conservation laws with frictional damping	1995	Constantine M. Dafermos	12
+	L-Convergence Rate to Nonlinear Diffusion Waves for p-System with Damping	2000	Kenji Nishihara Weike Wang Tong Yang	11
+	Quasilinear Hyperbolic Systems and Dissipative Mechanisms	1998	Ling Hsiao	11
+	Compressible Euler Equations with Vacuum	1997	Tai-Ping Liu Tong Yang	10
+ PDF Chat	Convergence Rate for Compressible Euler Equations with Damping and Vacuum	2003	Feimin Huang Ronghua Pan	8
+	Linear and Quasilinear Equations of Parabolic Type	1969	O. A. Ladyzhenskai︠a︡	8
+	Convergence rates to nonlinear diffusion waves for weak entropy solutions to p-system with damping	2003	Changjiang Zhu	8
+ PDF Chat	Construction and qualitative behavior of solutions for a system of nonlinear hyperbolic conservation laws with damping	1995	Ling Hsiao Shaoqiang Tang	8
+	Convergence to Strong Nonlinear Diffusion Waves for Solutions of p-System with Damping	2001	Huijiang Zhao	8
+	Sur la solution à support compact de l’equation d’Euler compressible	1986	Tetu Makino Seiji Ukai Shuichi Kawashima	8
+ PDF Chat	Nonlinear diffusive phenomena of entropy weak solutions for a system of quasilinear hyperbolic conservation laws with damping	1998	Ling Hsiao Tao Luo	8
+	Existence and stability of entropy solutions for the hyperbolic systems of isentropic gas dynamics in Eulerian and Lagrangian coordinates	1998	Pierre‐Louis Lions Benoı̂t Perthame Panagiotis E. Souganidis	7
+	Compressible flow with damping and vacuum	1996	Tai-Ping Liu	7
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	7
+	Convergence to the Barenblatt Solution for the Compressible Euler Equations with Damping and Vacuum	2005	Feimin Huang Pierangelo Marcati Ronghua Pan	7
+	Construction and Qualitative Behavior of the Solution of the Perturbated Riemann Problem for the System of One-Dimensional Isentropic Flow with Damping	1995	Ling Hsiao Shaoqiang Tang	7
+	Interaction of Elementary Waves for Compressible Euler Equations with Frictional Damping	2000	Tao Luo Tong Yang	7
+ PDF Chat	Hyperbolic conservation laws with relaxation	1987	Tai-Ping Liu	7
+	The existence of a global weak solution to the non‐linear waterhammer problem	1982	Mitchell Luskin Blake Temple	7
+	Asymptotic behavior of the solutions to the damped compressible Euler equations with vacuum	2005	Feimin Huang Ronghua Pan	7
+ PDF Chat	Convergence of the fractional step Lax-Friedrichs scheme and Godunov scheme for the isentropic system of gas dynamics	1989	Xia-Xi Ding Gui‐Qiang Chen Peizhu Luo	6
+	Nonlinear Diffusive Phenomena of Solutions for the System of Compressible Adiabatic Flow through Porous Media	1996	Ling Hsiao Tao Luo	6
+	The mathematical theory of non-uniform gases : an account of the kinetic theory of viscosity, thermal conduction, and diffusion in gases	1970	Sydney Chapman T. G. Cowling	6
+	A class of similarity solutions of the nonlinear diffusion equation	1977	C. J. van Duyn L. A. Peletier	6
+ PDF Chat	Compressible flow with vacuum and physical singularity	2000	Tai-Ping Liu Tong Yang	6
+ PDF Chat	On classical solutions of the compressible Navier-Stokes equations with nonnegative initial densities	2006	Yonggeun Cho Hyunseok Kim	6
+ PDF Chat	Convergence of the viscosity method for isentropic gas dynamics	1983	Ronald J. DiPerna	6
+	Hyperbolic to Parabolic Relaxation Theory for Quasilinear First Order Systems	2000	Pierangelo Marcati Bruno Rubino	6
+ PDF Chat	Convergence to nonlinear diffusion waves for solutions of the initial boundary problem to the hyperbolic conservation laws with damping	2000	Pierangelo Marcati Ming Mei	6
+ PDF Chat	SHOCK FORMATION IN THE COMPRESSIBLE EULER EQUATIONS AND RELATED SYSTEMS	2013	Geng Chen Robin Young Qingtian Zhang	5
+ PDF Chat	Vanishing of Vacuum States and Blow-up Phenomena of the Compressible Navier-Stokes Equations	2008	Hai-Liang Li Jing Li Zhouping Xin	5
+	Global Existence of Solutions for the System of Compressible Adiabatic Flow through Porous Media	1996	Ling Hsiao Denis Serre	5
+	Linear and Quasi-linear Equations of Parabolic Type	1968	O. Ladyženskaja V. A. Solonnikov N. Ural’ceva	5
+	The relaxation schemes for systems of conservation laws in arbitrary space dimensions	1995	Shi Jin Zhouping Xin	5
+ PDF Chat	The initial value problem for the equations of motion of viscous and heat-conductive gases	1980	Akitaka Matsumura Takaaki Nishida	5
+	The one-dimensional Darcy's law as the limit of a compressible Euler flow	1990	Pierangelo Marcati Albert Milani	5
+	Zero dissipation limit to rarefaction waves for the one‐dimensional navier‐stokes equations of compressible isentropic gases	1993	Zhouping Xin	5
+	Viscous limits for piecewise smooth solutions to systems of conservation laws	1992	Jonathan Goodman Zhouping Xin	5
+	Existence of Global Weak Solutions for a 2D Viscous Shallow Water Equations and Convergence to the Quasi-Geostrophic Model	2003	Didier Bresch Benoı̂t Desjardins	5
+ PDF Chat	Local existence of classical solutions to the two-dimensional viscous compressible flows with vacuum	2012	Zhen Luo	5
+ PDF Chat	Kinetic formulation of the isentropic gas dynamics andp-systems	1994	Pierre‐Louis Lions Benoı̂t Perthame Eitan Tadmor	5
+	NONLINEAR STABILITY OF RAREFACTION WAVES FOR A RATE-TYPE VISCOELASTIC SYSTEM	1999	Ling Hsiao Ronghua Pan	5
+	Initial Boundary Value Problem for the System of Compressible Adiabatic Flow Through Porous Media	1999	Ling Hsiao Ronghua Pan	5
+ PDF Chat	FORMATION OF SINGULARITY AND SMOOTH WAVE PROPAGATION FOR THE NON-ISENTROPIC COMPRESSIBLE EULER EQUATIONS	2011	Geng Chen	5
+ PDF Chat	Global well‐posedness of classical solutions with large oscillations and vacuum to the three‐dimensional isentropic compressible Navier‐Stokes equations	2011	Xiangdi Huang Jing Li Zhouping Xin	5
+	Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations	1964	Peter D. Lax	5
+	Vacuum states for compressible flow	1998	Tai-Ping Liu Zhouping Xin Tong Yang	4
+	Hyperbolic conservation laws with stiff relaxation terms and entropy	1994	Gui‐Qiang Chen C. David Levermore Tai‐Ping Liu	4