edited by Gui-Qiang Chen (Northwestern University) , Yanyan Li (Rutgers University) , Xiping Zhu (Zhongshan University) , & Daomin Chao (Academia Sinica)

This volume is a collection of research papers on nonlinear partial differential equations and related areas, representing many aspects of the most recent developments in these important areas. In particular, the following are included: nonlinear conservation laws, semilinear elliptic equations, nonlinear hyperbolic equations, nonlinear parabolic equations, singular limit problems, and analysis of exact and numerical solutions. Important areas such as numerical analysis, relaxation theory, multiphase theory, kinetic theory, combustion theory, dynamical systems, and quantum field theory are also covered.

• Relaxation Limits for a Class of Balance Laws with Kinetic Formulation (Y Brenier et al.)
• Large-Time Behavior of Entropy Solutions in L^∞ for Multidimensional Conservation Laws (G-Q Chen & H Frid)
• Indefinite Elliptic Problems with Critical Exponents (W-X Chen & C-B Li)
• Nonlinear Diffusive–Dispersive Limits for Multidimensional Conservation Laws (J-Q M C Correia & P G LeFloch)
• Two-Pressure Two Phase Flow (J Glimm et al.)
• Plainlevé Analysis and Its Applications (B-Y Guo & Z-X Chen)
• Stability of Traveling Wave Solutions for a Rate-Type Viscoelastic System (L Hsiao & T Luo)
• Generalized Rankine–Hugoniot Relations of Delta-Shocks in Solutions of Transportation Equations (J-Q Li & T Zhang)
• Geometric Measure of Nodals and Growth of Solutions to Elliptic Equations (F H Lin)
• A Note on Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations (L-W Lin)
• Strange Attractors in Pseudospectral Solutions of the Dissipative Zakharov Equations (S-Q Ma et al.)
• On Half-Space Problems for the Heat Equations with Nonlinear Boundary Conditions (M-X Wang & S Wang)
• String-Like Defects and Fractional Total Curvature in a Gauged Harmonic Map Model (Y-S Yang)
• Systems of Conservation Laws with Incomplete Sets of Eigenvectors Everywhere (Y-X Zhang)
• and other papers