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Infinite superlinear growth of the gradient for the twodimensional Euler equation
1.  University of WisconsinMadison, Mathematics Department, 480 Lincoln Dr. Madison, WI 537061388, United States 
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Peng Zhang, Jiequan Li, Tong Zhang. On twodimensional Riemann problem for pressuregradient equations of the Euler system. Discrete and Continuous Dynamical Systems, 1998, 4 (4) : 609634. doi: 10.3934/dcds.1998.4.609 
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Tong Zhang, Yuxi Zheng. Exact spiral solutions of the twodimensional Euler equations. Discrete and Continuous Dynamical Systems, 1997, 3 (1) : 117133. doi: 10.3934/dcds.1997.3.117 
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GuiQiang G. Chen, Qin Wang, Shengguo Zhu. Global solutions of a twodimensional Riemann problem for the pressure gradient system. Communications on Pure and Applied Analysis, 2021, 20 (7&8) : 24752503. doi: 10.3934/cpaa.2021014 
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Min Ding, Hairong Yuan. Stability of transonic jets with strong rarefaction waves for twodimensional steady compressible Euler system. Discrete and Continuous Dynamical Systems, 2018, 38 (6) : 29112943. doi: 10.3934/dcds.2018125 
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Huijiang Zhao, Qingsong Zhao. Radially symmetric stationary wave for twodimensional Burgers equation. Discrete and Continuous Dynamical Systems, 2021, 41 (5) : 21672185. doi: 10.3934/dcds.2020357 
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Abdelhakim Belghazi, Ferroudja Smadhi, Nawel Zaidi, Ouahiba Zair. Carleman inequalities for the twodimensional heat equation in singular domains. Mathematical Control and Related Fields, 2012, 2 (4) : 331359. doi: 10.3934/mcrf.2012.2.331 
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Anna Amirdjanova, Jie Xiong. Large deviation principle for a stochastic navierStokes equation in its vorticity form for a twodimensional incompressible flow. Discrete and Continuous Dynamical Systems  B, 2006, 6 (4) : 651666. doi: 10.3934/dcdsb.2006.6.651 
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Brahim Alouini. Longtime behavior of a BoseEinstein equation in a twodimensional thin domain. Communications on Pure and Applied Analysis, 2011, 10 (6) : 16291643. doi: 10.3934/cpaa.2011.10.1629 
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C. H. Arthur Cheng, John M. Hong, YingChieh Lin, Jiahong Wu, JuanMing Yuan. Wellposedness of the twodimensional generalized BenjaminBonaMahony equation on the upper half plane. Discrete and Continuous Dynamical Systems  B, 2016, 21 (3) : 763779. doi: 10.3934/dcdsb.2016.21.763 
[15] 
Futoshi Takahashi. On the number of maximum points of least energy solution to a twodimensional Hénon equation with large exponent. Communications on Pure and Applied Analysis, 2013, 12 (3) : 12371241. doi: 10.3934/cpaa.2013.12.1237 
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[18] 
Ahmad Z. Fino, Wenhui Chen. A global existence result for twodimensional semilinear strongly damped wave equation with mixed nonlinearity in an exterior domain. Communications on Pure and Applied Analysis, 2020, 19 (12) : 53875411. doi: 10.3934/cpaa.2020243 
[19] 
Yan Chen, Kewei Zhang. Young measure solutions of the twodimensional PeronaMalik equation in image processing. Communications on Pure and Applied Analysis, 2006, 5 (3) : 617637. doi: 10.3934/cpaa.2006.5.617 
[20] 
Chunyi Zhao. Some results on twodimensional Hénon equation with large exponent in nonlinearity. Communications on Pure and Applied Analysis, 2013, 12 (2) : 803813. doi: 10.3934/cpaa.2013.12.803 
2020 Impact Factor: 1.392
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