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Remarks on the orbital instability of standing waves for the waveSchrödinger system in higher dimensions
Nonrelativistic global limits to the three dimensional relativistic euler equations with spherical symmetry
1.  Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China 
2.  Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200030 
3.  Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China 
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Yachun Li, Xucai Ren. Nonrelativistic global limits of the entropy solutions to the relativistic Euler equations with $\gamma$law. Communications on Pure and Applied Analysis, 2006, 5 (4) : 963979. doi: 10.3934/cpaa.2006.5.963 
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Stefano Marò. Relativistic pendulum and invariant curves. Discrete and Continuous Dynamical Systems, 2015, 35 (3) : 11391162. doi: 10.3934/dcds.2015.35.1139 
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Huahui Li, Zhiqiang Shao. Delta shocks and vacuum states in vanishing pressure limits of solutions to the relativistic Euler equations for generalized Chaplygin gas. Communications on Pure and Applied Analysis, 2016, 15 (6) : 23732400. doi: 10.3934/cpaa.2016041 
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Sebastian Bauer. A nonrelativistic model of plasma physics containing a radiation reaction term. Kinetic and Related Models, 2018, 11 (1) : 2542. doi: 10.3934/krm.2018002 
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LaSu Mai, Kaijun Zhang. Asymptotic stability of steady state solutions for the relativistic EulerPoisson equations. Discrete and Continuous Dynamical Systems, 2016, 36 (2) : 9811004. doi: 10.3934/dcds.2016.36.981 
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Yachun Li, Qiufang Shi. Global existence of the entropy solutions to the isentropic relativistic Euler equations. Communications on Pure and Applied Analysis, 2005, 4 (4) : 763778. doi: 10.3934/cpaa.2005.4.763 
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Philippe G. LeFloch, Seiji Ukai. A symmetrization of the relativistic Euler equations with several spatial variables. Kinetic and Related Models, 2009, 2 (2) : 275292. doi: 10.3934/krm.2009.2.275 
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Meixiang Huang, ZhiQiang Shao. Riemann problem for the relativistic generalized Chaplygin Euler equations. Communications on Pure and Applied Analysis, 2016, 15 (1) : 127138. doi: 10.3934/cpaa.2016.15.127 
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Yongcai Geng. Singularity formation for relativistic Euler and EulerPoisson equations with repulsive force. Communications on Pure and Applied Analysis, 2015, 14 (2) : 549564. doi: 10.3934/cpaa.2015.14.549 
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Xueying Chen, Guanfeng Li, Sijia Bao. Symmetry and monotonicity of positive solutions for a class of general pseudorelativistic systems. Communications on Pure and Applied Analysis, 2022, 21 (5) : 17551772. doi: 10.3934/cpaa.2022045 
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Jifeng Chu, Zaitao Liang, Fangfang Liao, Shiping Lu. Existence and stability of periodic solutions for relativistic singular equations. Communications on Pure and Applied Analysis, 2017, 16 (2) : 591609. doi: 10.3934/cpaa.2017029 
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Yonggeun Cho, Tohru Ozawa. On radial solutions of semirelativistic Hartree equations. Discrete and Continuous Dynamical Systems  S, 2008, 1 (1) : 7182. doi: 10.3934/dcdss.2008.1.71 
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Xiuting Li. The energy conservation for weak solutions to the relativistic NordströmVlasov system. Evolution Equations and Control Theory, 2016, 5 (1) : 135145. doi: 10.3934/eect.2016.5.135 
[14] 
David L. Finn. Convexity of level curves for solutions to semilinear elliptic equations. Communications on Pure and Applied Analysis, 2008, 7 (6) : 13351343. doi: 10.3934/cpaa.2008.7.1335 
[15] 
GuiQiang G. Chen, Hairong Yuan. Local uniqueness of steady spherical transonic shockfronts for the threedimensional full Euler equations. Communications on Pure and Applied Analysis, 2013, 12 (6) : 25152542. doi: 10.3934/cpaa.2013.12.2515 
[16] 
Thomas Leroy. Relativistic transfer equations: Comparison principle and convergence to the nonequilibrium regime. Kinetic and Related Models, 2015, 8 (4) : 725763. doi: 10.3934/krm.2015.8.725 
[17] 
Michael Khanevsky. Nonautonomous curves on surfaces. Journal of Modern Dynamics, 2021, 17: 305317. doi: 10.3934/jmd.2021010 
[18] 
Philip Korman. Curves of equiharmonic solutions, and problems at resonance. Discrete and Continuous Dynamical Systems, 2014, 34 (7) : 28472860. doi: 10.3934/dcds.2014.34.2847 
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Juan Calvo. On the hyperbolicity and causality of the relativistic Euler system under the kinetic equation of state. Communications on Pure and Applied Analysis, 2013, 12 (3) : 13411347. doi: 10.3934/cpaa.2013.12.1341 
[20] 
Marcelo M. Disconzi. On the existence of solutions and causality for relativistic viscous conformal fluids. Communications on Pure and Applied Analysis, 2019, 18 (4) : 15671599. doi: 10.3934/cpaa.2019075 
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