Guocai Cai

Generating author description...

All published works

Action	Title	Year	Authors
+ PDF Chat	Existence and exponential growth of global classical solutions to the compressible Navier-Stokes equations with slip boundary conditions in 3D bounded domains	2023	Guocai Cai Jing Li
+ PDF Chat	Nonlinear Stability of Solutions on the Outer Pressure Problem of Compressible Navier-Stokes System with Temperature-Dependent Heat Conductivity	2022	Guocai Cai Canpei Chen Yanfang Peng
+ PDF Chat	On the asymptotic behavior of the one-dimensional motion of the polytropic ideal gas with degenerate heat conductivity	2022	Guocai Cai Yunkun Chen Yanfang Peng Yi Peng
+	Global Strong Solutions to Density-Dependent Viscosity Navier-Stokes Equations in 3D Exterior Domains	2022	Guocai Cai Boqiang Lü Yi Peng
+ PDF Chat	Global Classical Solutions to the Compressible Navier-Stokes Equations with Slip Boundary Conditions in 3D Exterior Domains	2021	Guocai Cai Jing Li Boqiang Lü
+	Nonlinearly stability of solutions on the outer Pressure Problem of Compressible Navier-Stokes System with Temperature-Dependent Heat Conductivity	2021	Guocai Cai Canpei Chen Yanfang Peng
+ PDF Chat	On Compressible Navier-Stokes Equations Subject to Large Potential Forces with Slip Boundary Conditions in 3D Bounded Domains	2021	Guocai Cai Bin Huang Xiaoding Shi
+	Existence and Exponential Growth of Global Classical Solutions to the Compressible Navier-Stokes Equations with Slip Boundary Conditions in 3D Bounded Domains	2021	Guocai Cai Jing Li
+	On Compressible Navier-Stokes Equations Subject to Large Potential Forces with Slip Boundary Conditions in 3D Bounded Domains	2021	Guocai Cai Bin Huang Xiaoding Shi
+	Global Classical Solutions to the Compressible Navier-Stokes Equations with Slip Boundary Conditions in 3D Exterior Domains	2021	Guocai Cai Jing Li Boqiang Lü
+ PDF Chat	A Note on Parabolic Liouville Theorems and Blow-Up Rates for a Higher-Order Semilinear Parabolic System	2011	Guocai Cai Hongjing Pan Ruixiang Xing
+	The Topological Linearization of Nonautonomous Systems	2009	Guocai Cai

Common Coauthors

Coauthor	Papers Together
Jing Li	4
Boqiang Lü	3
Yanfang Peng	3
Canpei Chen	2
Xiaoding Shi	2
Bin Huang	1
Ruixiang Xing	1
Bin Huang	1
Hongjing Pan	1
Yunkun Chen	1
Yi Peng	1
Yi Peng	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Solvability ?in the large? of a system of equations of the one-dimensional motion of an inhomogeneous viscous heat-conducting gas	1992	А. А. Амосов Alexander Zlotnik	3
+	On the asymptotic behavior of the motion of a viscous, heat-conducting, one-dimensional real gas	1994	Song Jiang	3
+	Global existence of large solutions to initial boundary value problems for a viscous, heat-conducting, one-dimensional real gas	1985	Bernhard Kawohl	3
+	Global strong solution to compressible Navier–Stokes equations with density dependent viscosity and temperature dependent heat conductivity	2017	Ran Duan Ai Guo Changjiang Zhu	3
+ PDF Chat	Global strong solutions to compressible Navier–Stokes system with degenerate heat conductivity and density-depending viscosity	2020	Bin Huang Xiaoding Shi Ying Sun	3
+	One-Dimensional Compressible Flow with Temperature Dependent Transport Coefficients	2010	Helge Kristian Jenssen Trygve K. Karper	3
+	Global solutions of the Navier–Stokes equations for viscous compressible flows	2002	Dehua Wang	3
+ PDF Chat	Global solutions to the initial value problem for the equations of one-dimensional motion of viscous polytropic gases	1981	Shuichi Kawashima Takaaki Nishida	3
+	Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas	1977	A. V. Kazhikhov V. V. Shelukhin	3
+	On the one-dimensional motion of the polytropic ideal gas non-fixed on the boundary	1986	Takeyuki Nagasawa	3
+	Equations of Motion of Compressible Viscous Fluids	1986	Takaaki Nishida	3
+ PDF Chat	Remarks on the breakdown of smooth solutions for the 3-D Euler equations	1984	J. Thomas Beale T. Kato Andrew J. Majda	2
+	Some uniform estimates and blowup behavior of global strong solutions to the Stokes approximation equations for two-dimensional compressible flows	2005	Jing Li Zhouping Xin	2
+	On Elliptic Partial Differential Equations	2011	Louis Nirenberg	2
+	Nonlinearly exponential stability of compressible Navier-Stokes system with degenerate heat-conductivity	2019	Bin Huang Xiaoding Shi	2
+ PDF Chat	On local strong and classical solutions to the three-dimensional barotropic compressible Navier-Stokes equations with vacuum	2020	Xiangdi Huang	2
+ PDF Chat	The initial value problem for the equations of motion of viscous and heat-conductive gases	1980	Akitaka Matsumura Takaaki Nishida	2
+	Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I	1959	Shmuel Agmon Avron Douglis Louis Nirenberg	2
+ PDF Chat	On the asymptotic behavior of the one-dimensional motion of the polytropic ideal gas with stress-free condition	1988	Takeyuki Nagasawa	2
+ PDF Chat	On the First Initial-Boundary Value Problem of Compressible Viscous Fluid Motion	1977	Atusi Tani	2
+	The Initial Value Problem for the Navier-Stokes Equations with General Slip Boundary Condition in Hölder Spaces	2003	S. Itoh N. Tanaka Atsushi Tani	2
+	On Initial Boundary Value Problems for a Viscous, Heat-Conducting, One-Dimensional Real-Gas	1994	Song Jiang	2
+	On the uniqueness of compressible fluid motions	1959	James Serrin	2
+ 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	2
+	Estimating ∇<i>u</i> by div <i>u</i> and curl <i>u</i>	1992	Wolf von Wahl	2
+	Introduction to the Mathematical Theory of Compressible Flow	2004	Antonín Novotný Ivan Straškraba	2
+	Uniform estimates and stabilization of symmetric solutions of a system of quasilinear equations	2000	Alexander Zlotnik	2
+ PDF Chat	Compressible Navier-Stokes equations with temperature dependent heat conductivity	2014	Ronghua Pan Weizhe Zhang	2
+	L^p theory for the div-curl system	2014	Junichi Aramaki	2
+	Lagrangean Structure and Propagation of Singularities in Multidimensional Compressible Flow	2008	David Hoff Marcelo M. Santos	1
+	Convergence to equilibria and blowup behavior of global strong solutions to the Stokes approximation equations for two-dimensional compressible flows with large data☆☆Partially supported by the National Natural Science Foundation of China under contracts 10471138, 10601059, and 10526039 (Tianyuan Jijin); NSFC–NSAF Grant No. 10676037; 973 project of China, Grant No. 2006CB805902; Zheng Ge Ru Funds, Grants from RGC of HKSAR CUHK4028/04P and CUHK4299/02P.	2006	Feimin Huang Jing Li Zhouping Xin	1
+	Strong convergence to global solutions for multidimensional flows of compressible, viscous fluids with polytropic equations of state and discontinuous initial data	1995	David Hoff	1
+ PDF Chat	On the growing up problem for semilinear heat equations	1977	Kusuo Kobayashi Tunekiti Sirao Hiroshi Tanaka	1
+	The Role of Critical Exponents in Blow-Up Theorems: The Sequel	2000	Keng Deng Howard A. Levine	1
+ PDF Chat	On nonexistence of global solutions of some semilinear parabolic differential equations	1973	Kantaro Hayakawa	1
+ PDF Chat	The problem Of blow-up in nonlinear parabolic equations	2002	Victor A. Galaktionov Juan Luís Vázquez	1
+ PDF Chat	The Role of Critical Exponents in Blowup Theorems	1990	Howard A. Levine	1
+	AnL p -theory for then-dimensional, stationary, compressible Navier-Stokes equations, and the incompressible limit for compressible fluids. The equilibrium solutions	1987	H. Beirão da Veiga	1
+	The blow-up rate for positive solutions of indefinite parabolic problems and related Liouville type theorems	2009	Ruixiang Xing	1
+	Existence Theorems for the Equations of Motion of a Compressible Viscous Fluid	1981	V. A. Solonnikov A. V. Kazhikhov	1
+	Liouville Type Theorems and Complete Blow-up for Indefinite Superlinear Parabolic Equations	2006	Peter Poláčik Pavol Quíttner	1
+ PDF Chat	Some Uniform Estimates and Large-Time Behavior of Solutions to One-Dimensional Compressible Navier–Stokes System in Unbounded Domains with Large Data	2015	Jing Li Zhilei Liang	1
+	Global Existence of Regular Solutions with Large Oscillations and Vacuum	2016	Jing Li Zhouping Xin	1
+	Gagliardo–Nirenberg inequalities and non-inequalities: The full story	2017	Petru Mironescu Haı̈m Brezis	1
+	Stokes and Navier-Stokes equations with Navier boundary condition	2018	Paul Acevedo Chérif Amrouche Carlos Conca Amrita Ghosh	1
+	Global Strong Solutions to Compressible Navier-Stokes System with Degenerate Heat Conductivity and Density-Depending Viscosity	2018	Bin Huang Xiaoding Shi Ying Sun	1
+ PDF Chat	Serrin-Type Blowup Criterion for Viscous, Compressible, and Heat Conducting Navier-Stokes and Magnetohydrodynamic Flows	2013	Xiangdi Huang Jing Li	1
+	Existence and Exponential Growth of Global Classical Solutions to the Compressible Navier-Stokes Equations with Slip Boundary Conditions in 3D Bounded Domains	2021	Guocai Cai Jing Li	1
+	An Introduction to Sobolev Spaces and Interpolation Spaces	2007	Luc Tartar	1
+	An Introduction to the Mathematical Theory of the Navier-Stokes Equations: Steady-State Problems	2011	Giovanni P. Galdi	1