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Absorption of characteristics by sonic curve of the twodimensional Euler equations
1.  Department of Mathematics, The Pennsylvania State University, PA 16802, United States 
[1] 
Tung Chang, GuiQiang Chen, Shuli Yang. On the 2D Riemann problem for the compressible Euler equations I. Interaction of shocks and rarefaction waves. Discrete & Continuous Dynamical Systems  A, 1995, 1 (4) : 555584. doi: 10.3934/dcds.1995.1.555 
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Tung Chang, GuiQiang Chen, Shuli Yang. On the 2D Riemann problem for the compressible Euler equations II. Interaction of contact discontinuities. Discrete & Continuous Dynamical Systems  A, 2000, 6 (2) : 419430. doi: 10.3934/dcds.2000.6.419 
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Jeanfrançois Coulombel, Paolo Secchi. Uniqueness of 2D compressible vortex sheets. Communications on Pure & Applied Analysis, 2009, 8 (4) : 14391450. doi: 10.3934/cpaa.2009.8.1439 
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Xiaojing Xu. Local existence and blowup criterion of the 2D compressible Boussinesq equations without dissipation terms. Discrete & Continuous Dynamical Systems  A, 2009, 25 (4) : 13331347. doi: 10.3934/dcds.2009.25.1333 
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Tian Ma, Shouhong Wang. Global structure of 2D incompressible flows. Discrete & Continuous Dynamical Systems  A, 2001, 7 (2) : 431445. doi: 10.3934/dcds.2001.7.431 
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Nusret Balci, Ciprian Foias, M. S Jolly, Ricardo Rosa. On universal relations in 2D turbulence. Discrete & Continuous Dynamical Systems  A, 2010, 27 (4) : 13271351. doi: 10.3934/dcds.2010.27.1327 
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Oleg Yu. Imanuvilov, Jean Pierre Puel. On global controllability of 2D Burgers equation. Discrete & Continuous Dynamical Systems  A, 2009, 23 (1&2) : 299313. doi: 10.3934/dcds.2009.23.299 
[9] 
Lihui Guo, Wancheng Sheng, Tong Zhang. The twodimensional Riemann problem for isentropic Chaplygin gas dynamic system$^*$. Communications on Pure & Applied Analysis, 2010, 9 (2) : 431458. doi: 10.3934/cpaa.2010.9.431 
[10] 
Yang Liu, Sining Zheng, Huapeng Li, Shengquan Liu. Strong solutions to Cauchy problem of 2D compressible nematic liquid crystal flows. Discrete & Continuous Dynamical Systems  A, 2017, 37 (7) : 39213938. doi: 10.3934/dcds.2017165 
[11] 
Meng Wang, Wendong Wang, Zhifei Zhang. On the uniqueness of weak solution for the 2D EricksenLeslie system. Discrete & Continuous Dynamical Systems  B, 2016, 21 (3) : 919941. doi: 10.3934/dcdsb.2016.21.919 
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Thomas Y. Hou, Danping Yang, Hongyu Ran. Multiscale analysis in Lagrangian formulation for the 2D incompressible Euler equation. Discrete & Continuous Dynamical Systems  A, 2005, 13 (5) : 11531186. doi: 10.3934/dcds.2005.13.1153 
[13] 
H. T. Banks, R.C. Smith. Feedback control of noise in a 2D nonlinear structural acoustics model. Discrete & Continuous Dynamical Systems  A, 1995, 1 (1) : 119149. doi: 10.3934/dcds.1995.1.119 
[14] 
Quan Wang, Hong Luo, Tian Ma. Boundary layer separation of 2D incompressible Dirichlet flows. Discrete & Continuous Dynamical Systems  B, 2015, 20 (2) : 675682. doi: 10.3934/dcdsb.2015.20.675 
[15] 
Dongbing Zha. Remarks on nonlinear elastic waves in the radial symmetry in 2D. Discrete & Continuous Dynamical Systems  A, 2016, 36 (7) : 40514062. doi: 10.3934/dcds.2016.36.4051 
[16] 
Lingbing He. On the global smooth solution to 2D fluid/particle system. Discrete & Continuous Dynamical Systems  A, 2010, 27 (1) : 237263. doi: 10.3934/dcds.2010.27.237 
[17] 
Huicheng Yin, Lin Zhang. The global stability of 2D viscous axisymmetric circulatory flows. Discrete & Continuous Dynamical Systems  A, 2017, 37 (10) : 50655083. doi: 10.3934/dcds.2017219 
[18] 
Roberto Triggiani. Stability enhancement of a 2D linear NavierStokes channel flow by a 2D, wallnormal boundary controller. Discrete & Continuous Dynamical Systems  B, 2007, 8 (2) : 279314. doi: 10.3934/dcdsb.2007.8.279 
[19] 
Jianjun Chen, Wancheng Sheng. The Riemann problem and the limit solutions as magnetic field vanishes to magnetogasdynamics for generalized Chaplygin gas. Communications on Pure & Applied Analysis, 2018, 17 (1) : 127142. doi: 10.3934/cpaa.2018008 
[20] 
Melody Dodd, Jennifer L. Mueller. A realtime Dbar algorithm for 2D electrical impedance tomography data. Inverse Problems & Imaging, 2014, 8 (4) : 10131031. doi: 10.3934/ipi.2014.8.1013 
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