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Discrete & Continuous Dynamical Systems - A

January & February 2009 , Volume 23 , Issue 1&2

A special issue
Dedicated to Ta-Tsien Li on the Occasion of his 70th Birthday

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Preface
Philippe G. Ciarlet
2009, 23(1&2): i-ii doi: 10.3934/dcds.2009.23.1i +[Abstract](974) +[PDF](31.2KB)
Foreword
Gui-Qiang Chen and Jiaxing Hong
2009, 23(1&2): iii-vi doi: 10.3934/dcds.2009.23.1iii +[Abstract](913) +[PDF](54.4KB)
The convergence of the GRP scheme
Matania Ben–Artzi, Joseph Falcovitz and Jiequan Li
2009, 23(1&2): 1-27 doi: 10.3934/dcds.2009.23.1 +[Abstract](909) +[PDF](342.3KB)
On the convergence of viscous approximations after shock interactions
Alberto Bressan and Carlotta Donadello
2009, 23(1&2): 29-48 doi: 10.3934/dcds.2009.23.29 +[Abstract](926) +[PDF](221.8KB)
Nonlocal heat flows preserving the L2 energy
Luis Caffarelli and Fanghua Lin
2009, 23(1&2): 49-64 doi: 10.3934/dcds.2009.23.49 +[Abstract](1088) +[PDF](215.9KB)
Robust filtering for joint state-parameter estimation in distributed mechanical systems
Dominique Chapelle, Philippe Moireau and Patrick Le Tallec
2009, 23(1&2): 65-84 doi: 10.3934/dcds.2009.23.65 +[Abstract](1195) +[PDF](1170.3KB)
Stability of transonic shock-fronts in three-dimensional conical steady potential flow past a perturbed cone
Gui-Qiang Chen and Beixiang Fang
2009, 23(1&2): 85-114 doi: 10.3934/dcds.2009.23.85 +[Abstract](920) +[PDF](422.2KB)
Weak shock solution in supersonic flow past a wedge
Shuxing Chen, Jianzhong Min and Yongqian Zhang
2009, 23(1&2): 115-132 doi: 10.3934/dcds.2009.23.115 +[Abstract](928) +[PDF](206.2KB)
Intrinsic methods in elasticity: a mathematical survey
Philippe G. Ciarlet, Liliana Gratie and Cristinel Mardare
2009, 23(1&2): 133-164 doi: 10.3934/dcds.2009.23.133 +[Abstract](1127) +[PDF](389.2KB)
Levelsets and anisotropic mesh adaptation
Alexandra Claisse, Pascal Frey and Vincent Ducrot
2009, 23(1&2): 165-183 doi: 10.3934/dcds.2009.23.165 +[Abstract](1079) +[PDF](732.5KB)
A variational approach to the Riemann problem for hyperbolic conservation laws
Constantine M. Dafermos
2009, 23(1&2): 185-195 doi: 10.3934/dcds.2009.23.185 +[Abstract](892) +[PDF](152.6KB)
Homogenization of oscillating boundaries
Klas Pettersson and Alain Damlamian
2009, 23(1&2): 197-219 doi: 10.3934/dcds.2009.23.197 +[Abstract](852) +[PDF](264.5KB)
Third order equivalent equation of lattice Boltzmann scheme
François Dubois
2009, 23(1&2): 221-248 doi: 10.3934/dcds.2009.23.221 +[Abstract](1272) +[PDF](307.6KB)
Orbital minimization with localization
Weiguo Gao and Weinan E
2009, 23(1&2): 249-264 doi: 10.3934/dcds.2009.23.249 +[Abstract](1013) +[PDF](1090.9KB)
Numerical zoom for multiscale problems with an application to flows through porous media
Frédéric Hecht, Alain Perronnet, Alexei Lozinski and Olivier Pironneau
2009, 23(1&2): 265-280 doi: 10.3934/dcds.2009.23.265 +[Abstract](1042) +[PDF](847.4KB)
Multiscale analysis for convection dominated transport equations
Dong Liang and Thomas Y. Hou
2009, 23(1&2): 281-298 doi: 10.3934/dcds.2009.23.281 +[Abstract](1047) +[PDF](246.8KB)
On global controllability of 2-D Burgers equation
Jean Pierre Puel and Oleg Yu. Imanuvilov
2009, 23(1&2): 299-313 doi: 10.3934/dcds.2009.23.299 +[Abstract](1108) +[PDF](200.4KB)
Interaction of boundary layers and corner singularities
Chang-Yeol Jung and Roger Temam
2009, 23(1&2): 315-339 doi: 10.3934/dcds.2009.23.315 +[Abstract](1086) +[PDF](9194.2KB)
Isometric immersions into the Minkowski spacetime for Lorentzian manifolds with limited regularity
Philippe G. Lefloch, Cristinel Mardare and Sorin Mardare
2009, 23(1&2): 341-365 doi: 10.3934/dcds.2009.23.341 +[Abstract](970) +[PDF](296.6KB)
A Carleman estimate for the linear shallow shell equation and an inverse source problem
Bernadette Miara, Masahiro Yamamoto and Shumin Li
2009, 23(1&2): 367-380 doi: 10.3934/dcds.2009.23.367 +[Abstract](1210) +[PDF](187.4KB)
The initial-boundary value problem on a strip for the equation of time-like extremal surfaces
Jianli Liu and Yi Zhou
2009, 23(1&2): 381-397 doi: 10.3934/dcds.2009.23.381 +[Abstract](1140) +[PDF](218.6KB)
A spectral approach to the indirect boundary control of a system of weakly coupled wave equations
Zhuangyi Liu and Bopeng Rao
2009, 23(1&2): 399-414 doi: 10.3934/dcds.2009.23.399 +[Abstract](971) +[PDF](221.2KB)
Asymptotic expansions in two-fluid compressible Euler-Maxwell equations with small parameters
Shu Wang and Yue-Jun Peng
2009, 23(1&2): 415-433 doi: 10.3934/dcds.2009.23.415 +[Abstract](1000) +[PDF](256.4KB)
Non-linear electromagnetism and special relativity
Denis Serre
2009, 23(1&2): 435-454 doi: 10.3934/dcds.2009.23.435 +[Abstract](1002) +[PDF](241.8KB)
On energetic variational approaches in modeling the nematic liquid crystal flows
Huan Sun and Chun Liu
2009, 23(1&2): 455-475 doi: 10.3934/dcds.2009.23.455 +[Abstract](1756) +[PDF](237.6KB)
Quasilinear elliptic equations with signed measure
Xu-Jia Wang and Neil S. Trudinger
2009, 23(1&2): 477-494 doi: 10.3934/dcds.2009.23.477 +[Abstract](1366) +[PDF](251.3KB)
Stationary solutions to the exterior problems for the Boltzmann equation, I. Existence
Huijiang Zhao, Seiji Ukai and Tong Yang
2009, 23(1&2): 495-520 doi: 10.3934/dcds.2009.23.495 +[Abstract](957) +[PDF](331.5KB)
Upper semi-continuity of stationary statistical properties of dissipative systems
Xiaoming Wang
2009, 23(1&2): 521-540 doi: 10.3934/dcds.2009.23.521 +[Abstract](941) +[PDF](234.4KB)
On the connection formulas of the third Painlevé transcendent
Roderick S. C. Wong and H. Y. Zhang
2009, 23(1&2): 541-560 doi: 10.3934/dcds.2009.23.541 +[Abstract](1176) +[PDF](252.2KB)
Systems of coupled diffusion equations with degenerate nonlinear source terms: Linear stability and traveling waves
Huaxiong Huang, Robert M. Miura and Jonathan J. Wylie
2009, 23(1&2): 561-569 doi: 10.3934/dcds.2009.23.561 +[Abstract](1224) +[PDF](138.1KB)
Time discrete wave equations: Boundary observability and control
Xu Zhang, Chuang Zheng and Enrique Zuazua
2009, 23(1&2): 571-604 doi: 10.3934/dcds.2009.23.571 +[Abstract](1204) +[PDF](932.3KB)
Absorption of characteristics by sonic curve of the two-dimensional Euler equations
Yuxi Zheng
2009, 23(1&2): 605-616 doi: 10.3934/dcds.2009.23.605 +[Abstract](805) +[PDF](194.9KB)

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