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Twoscale semiLagrangian simulation of a charged particle beam in a periodic focusing channel
A symmetrization of the relativistic Euler equations with several spatial variables
1.  Laboratoire JacquesLouis Lions, Centre National de la Recherche Scientifique, Université Pierre et Marie Curie (Paris 6), 4 Place Jussieu, 75252 Paris, France 
2.  1726 Iwasaki, Hodogaya, Yokohama 2400015, Japan 
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Reinhard Racke, Jürgen Saal. Hyperbolic NavierStokes equations I: Local wellposedness. Evolution Equations & Control Theory, 2012, 1 (1) : 195215. doi: 10.3934/eect.2012.1.195 
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Xumin Gu. Wellposedness of axially symmetric incompressible ideal magnetohydrodynamic equations with vacuum under the noncollinearity condition. Communications on Pure & Applied Analysis, 2019, 18 (2) : 569602. doi: 10.3934/cpaa.2019029 
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Jishan Fan, Yueling Jia. Local wellposedness of the full compressible NavierStokesMaxwell system with vacuum. Kinetic & Related Models, 2018, 11 (1) : 97106. doi: 10.3934/krm.2018005 
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Xinwei Yu, Zhichun Zhai. On the Lagrangian averaged Euler equations: local wellposedness and blowup criterion. Communications on Pure & Applied Analysis, 2012, 11 (5) : 18091823. doi: 10.3934/cpaa.2012.11.1809 
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George Avalos, Roberto Triggiani. Semigroup wellposedness in the energy space of a parabolichyperbolic coupled StokesLamé PDE system of fluidstructure interaction. Discrete & Continuous Dynamical Systems  S, 2009, 2 (3) : 417447. doi: 10.3934/dcdss.2009.2.417 
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Hung Luong. Local wellposedness for the Zakharov system on the background of a line soliton. Communications on Pure & Applied Analysis, 2018, 17 (6) : 26572682. doi: 10.3934/cpaa.2018126 
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Yong Zhou, Jishan Fan. Local wellposedness for the ideal incompressible density dependent magnetohydrodynamic equations. Communications on Pure & Applied Analysis, 2010, 9 (3) : 813818. doi: 10.3934/cpaa.2010.9.813 
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Boris Kolev. Local wellposedness of the EPDiff equation: A survey. Journal of Geometric Mechanics, 2017, 9 (2) : 167189. doi: 10.3934/jgm.2017007 
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Myeongju Chae, Kyungkeun Kang, Jihoon Lee. Global wellposedness and long time behaviors of chemotaxisfluid system modeling coral fertilization. Discrete & Continuous Dynamical Systems  A, 2020, 40 (4) : 21352163. doi: 10.3934/dcds.2020109 
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Xin Zhong. Global wellposedness to the cauchy problem of twodimensional densitydependent boussinesq equations with large initial data and vacuum. Discrete & Continuous Dynamical Systems  A, 2019, 39 (11) : 67136745. doi: 10.3934/dcds.2019292 
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Daniel Coutand, Steve Shkoller. A simple proof of wellposedness for the freesurface incompressible Euler equations. Discrete & Continuous Dynamical Systems  S, 2010, 3 (3) : 429449. doi: 10.3934/dcdss.2010.3.429 
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Elaine Cozzi, James P. Kelliher. Wellposedness of the 2D Euler equations when velocity grows at infinity. Discrete & Continuous Dynamical Systems  A, 2019, 39 (5) : 23612392. doi: 10.3934/dcds.2019100 
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Jiali Lian. Global wellposedness of the freeinterface incompressible Euler equations with damping. Discrete & Continuous Dynamical Systems  A, 2020, 40 (4) : 20612087. doi: 10.3934/dcds.2020106 
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Sirui Li, Wei Wang, Pingwen Zhang. Local wellposedness and small Deborah limit of a moleculebased $Q$tensor system. Discrete & Continuous Dynamical Systems  B, 2015, 20 (8) : 26112655. doi: 10.3934/dcdsb.2015.20.2611 
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Hartmut Pecher. Almost optimal local wellposedness for the MaxwellKleinGordon system with data in FourierLebesgue spaces. Communications on Pure & Applied Analysis, 2020, 19 (6) : 33033321. doi: 10.3934/cpaa.2020146 
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Fucai Li, Yanmin Mu, Dehua Wang. Local wellposedness and low Mach number limit of the compressible magnetohydrodynamic equations in critical spaces. Kinetic & Related Models, 2017, 10 (3) : 741784. doi: 10.3934/krm.2017030 
[17] 
Yoshihiro Shibata. Local wellposedness of free surface problems for the NavierStokes equations in a general domain. Discrete & Continuous Dynamical Systems  S, 2016, 9 (1) : 315342. doi: 10.3934/dcdss.2016.9.315 
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Takeshi Wada. A remark on local wellposedness for nonlinear Schrödinger equations with power nonlinearityan alternative approach. Communications on Pure & Applied Analysis, 2019, 18 (3) : 13591374. doi: 10.3934/cpaa.2019066 
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Márcio Cavalcante, Chulkwang Kwak. Local wellposedness of the fifthorder KdVtype equations on the halfline. Communications on Pure & Applied Analysis, 2019, 18 (5) : 26072661. doi: 10.3934/cpaa.2019117 
[20] 
Keyan Wang, Yao Xiao. Local wellposedness for NavierStokes equations with a class of illprepared initial data. Discrete & Continuous Dynamical Systems  A, 2020, 40 (5) : 29873011. doi: 10.3934/dcds.2020158 
2019 Impact Factor: 1.311
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