Ronghua Pan

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Produções bibliográficas

• Li, Tong ; Pan, Ronghua ; Zhao, Kun . Global Dynamics of a Hyperbolic-Parabolic Model Arising from Chemotaxis. SIAM Journal on Applied Mathematics (Print) , v. 72, p. 417, 2012.

• Huang, Feimin ; PAN, R. ; Wang, Zhen . L 1 Convergence to the Barenblatt Solution for Compressible Euler Equations with Damping. Archive for Rational Mechanics and Analysis (Print) , v. 200, p. 665-689, 2011.

• Lai, Ming-Jun ; Pan, Ronghua ; Zhao, Kun . Initial Boundary Value Problem for Two-Dimensional Viscous Boussinesq Equations. Archive for Rational Mechanics and Analysis (Print) , v. 199, p. 739-760, 2011.

• Qiangchang Ju ; Yong Li ; Pan, Ronghua . Initial boundary value problem for compressible Euler equations with relaxation. Communications in Mathematical Analysis , v. 8, p. 1-22, 2010.

• Dafermos, Constantine M. ; Pan, Ronghua . Global $BV$ Solutions for the $P$-System with Frictional Damping. SIAM Journal on Mathematical Analysis (Print) , v. 41, p. 1190, 2009.

• Pan, Ronghua ; Zhao, Kun . The 3D compressible Euler equations with damping in a bounded domain. Journal of Differential Equations (Print) , v. 246, p. 581-596, 2009.

• Pan, Ronghua ; Zhao, Kun . Initial Boundary Value Problem for Compressible Euler Equations with Damping. Indiana University Mathematics Journal , v. 57, p. 2257-2282, 2008.

• Huang, Feimin ; Pan, Ronghua ; Yu, HuiMin . Large time behavior of Euler-Poisson system for semiconductor. Science in China. A, Mathematics , v. 51, p. 965-972, 2008.

• Huang, Feimin ; Pan, Ronghua ; Wang, Yi . Stability of contact discontinuity for Jin Xin relaxation system. Journal of Differential Equations (Print) , v. 244, p. 1114-1140, 2008.

• Pan, Ronghua ; Smoller, Joel A. . Blowup of Smooth Solutions for Relativistic Euler Equations. Communications in Mathematical Physics , v. 262, p. 729-755, 2006.

• Huang, Feimin ; Pan, Ronghua . Asymptotic behavior of the solutions to the damped compressible Euler equations with vacuum. Journal of Differential Equations (Print) , v. 220, p. 207-233, 2006.

• Pan, Ronghua . Darcy's law as long-time limit of adiabatic porous media flow. Journal of Differential Equations (Print) , v. 220, p. 121-146, 2006.

• Huang, Feimin ; Marcati, Pierangelo ; Pan, Ronghua . Convergence to the Barenblatt Solution for the Compressible Euler Equations with Damping and Vacuum. Archive for Rational Mechanics and Analysis (Print) , v. 176, p. 1-24, 2005.

• Huang, Feimin ; Pan, Ronghua . Convergence Rate for Compressible Euler Equations with Damping and Vacuum. Archive for Rational Mechanics and Analysis (Print) , v. 166, p. 359-376, 2003.

• Marcati, Pierangelo ; Pan, Ronghua . On the Diffusive Profiles for the System of Compressible Adiabatic Flow through Porous Media. SIAM Journal on Mathematical Analysis (Print) , v. 33, p. 790-826, 2001.

• Pan, Ronghua . Boundary effects and large time behavior for the system of compressible adiabatic flow through porous media. The Michigan Mathematical Journal , v. 49, p. 519-540, 2001.

• Li, Hailiang ; Pan, Ronghua . Zero Relaxation Limit for Piecewise Smooth Solutions to a Rate-Type Viscoelastic System in the Presence of Shocks. Journal of Mathematical Analysis and Applications (Print) , v. 252, p. 298-324, 2000.

• Hsiao, Ling ; Li, Hailiang ; Pan, Ronghua . The zero relaxation behavior of piecewise smooth solutions to the reacting flow model in the presence of shocks. Nonlinear Analysis , v. 42, p. 905-929, 2000.

• Hsiao, Ling ; Pan, Ronghua . The linear stability of traveling wave solutions for a reacting flow model with source term. Quarterly of Applied Mathematics , v. 58, p. 219-238, 2000.

• Hsiao, Ling ; PAN, R. . Nonlinear Stability of Two-Mode Shock Profiles for a rate-type viscoelastic system with relaxation. Chinese Annals of Mathematics. Ser. B , v. 20, p. 479, 1999.

• Hsiao, Ling ; Pan, Ronghua . Initial Boundary Value Problem for the System of Compressible Adiabatic Flow Through Porous Media. Journal of Differential Equations (Print) , v. 159, p. 280-305, 1999.

• Pan, Ronghua ; Peicheng Zhu . Asymptotic behavior of the solution to a model system in linearly viscous materials. Journal of Partial Differential Equations , v. 12, p. 251-261, 1999.

• Li, Hailiang ; Pan, Ronghua . On the existence of the global smooth process for one-dimensional nonlinear thermoviscoelastic materials with fixed and thermally insulated endpoints. Journal of Partial Differential Equations , v. 12, p. 229-242, 1999.

• Hsiao, Ling ; Pan, Ronghua . Zero Relaxation Limit to Centered Rarefaction Waves for a Rate-Type Viscoelastic System. Journal of Differential Equations (Print) , v. 157, p. 20-40, 1999.

• Hsiao, Ling ; Pan, Ronghua . NONLINEAR STABILITY OF RAREFACTION WAVES FOR A RATE-TYPE VISCOELASTIC SYSTEM. Chinese Annals of Mathematics. Ser. B , v. 20, p. 223, 1999.

• Pan, Ronghua . The nonlinear stability of travelling wave solutions for a reacting flow model with source term. Acta Mathematica Scientia , v. 19, p. 26-36, 1999.

• Pan, Ronghua . Global smooth solutions and the asymptotic behavior of the motion of a viscous, heat-conductive, one-dimensional real gas. Journal of Partial Differential Equations , v. 11, p. 273-288, 1998.

• Pan, Ronghua . A class of diffusion equations with localized chemical reactions. Nonlinear Analysis , v. 27, p. 653-668, 1996.

• Yinghui Zhang ; Pan, Ronghua ; Wang, Yi ; Zhong Tan . Zero dissipation limit with two interacting shocks of the 1D non-isentropic Navier-Stokes equations. Indiana University Mathematics Journal , 2013.