
Previous Article
Interaction estimates and Glimm functional for general hyperbolic systems
 DCDS Home
 This Issue

Next Article
Heteroclinic orbits and chaotic invariant sets for monotone twist maps
The primitive equations on the large scale ocean under the small depth hypothesis
1.  The Institute for Scientific Computing & Applied Mathematics, Indiana University, Rawles Hall, Bloomington, IN 47405, United States 
2.  The Institute for Scientific Computing and Applied Mathematics, Indiana University, 831 E. 3rd St., Rawles Hall, Bloomington, IN 47405 
3.  Department of Mathematics, University of Southern California, Los Angeles, CA 90089, United States 
[1] 
Brian D. Ewald, Roger Témam. Maximum principles for the primitive equations of the atmosphere. Discrete and Continuous Dynamical Systems, 2001, 7 (2) : 343362. doi: 10.3934/dcds.2001.7.343 
[2] 
Wilhelm Schlag. Spectral theory and nonlinear partial differential equations: A survey. Discrete and Continuous Dynamical Systems, 2006, 15 (3) : 703723. doi: 10.3934/dcds.2006.15.703 
[3] 
Barbara AbrahamShrauner. Exact solutions of nonlinear partial differential equations. Discrete and Continuous Dynamical Systems  S, 2018, 11 (4) : 577582. doi: 10.3934/dcdss.2018032 
[4] 
Boling Guo, Guoli Zhou. Finite dimensionality of global attractor for the solutions to 3D viscous primitive equations of largescale moist atmosphere. Discrete and Continuous Dynamical Systems  B, 2018, 23 (10) : 43054327. doi: 10.3934/dcdsb.2018160 
[5] 
Bo You. Optimal distributed control of the three dimensional primitive equations of largescale ocean and atmosphere dynamics. Evolution Equations and Control Theory, 2021, 10 (4) : 937963. doi: 10.3934/eect.2020097 
[6] 
Paul Bracken. Exterior differential systems and prolongations for three important nonlinear partial differential equations. Communications on Pure and Applied Analysis, 2011, 10 (5) : 13451360. doi: 10.3934/cpaa.2011.10.1345 
[7] 
Mogtaba Mohammed, Mamadou Sango. Homogenization of nonlinear hyperbolic stochastic partial differential equations with nonlinear damping and forcing. Networks and Heterogeneous Media, 2019, 14 (2) : 341369. doi: 10.3934/nhm.2019014 
[8] 
Donatella Donatelli, Nóra Juhász. The primitive equations of the polluted atmosphere as a weak and strong limit of the 3D NavierStokes equations in downwindmatching coordinates. Discrete and Continuous Dynamical Systems, 2022, 42 (6) : 28592892. doi: 10.3934/dcds.2022002 
[9] 
Paul Bracken. Connections of zero curvature and applications to nonlinear partial differential equations. Discrete and Continuous Dynamical Systems  S, 2014, 7 (6) : 11651179. doi: 10.3934/dcdss.2014.7.1165 
[10] 
Seyedeh Marzieh Ghavidel, Wolfgang M. Ruess. Flow invariance for nonautonomous nonlinear partial differential delay equations. Communications on Pure and Applied Analysis, 2012, 11 (6) : 23512369. doi: 10.3934/cpaa.2012.11.2351 
[11] 
Ali Hamidoǧlu. On general form of the Tanh method and its application to nonlinear partial differential equations. Numerical Algebra, Control and Optimization, 2016, 6 (2) : 175181. doi: 10.3934/naco.2016007 
[12] 
Ping Liu, Ying Su, Fengqi Yi. Preface for special session entitled "Recent Advances of Differential Equations with Applications in Life Sciences". Discrete and Continuous Dynamical Systems  S, 2017, 10 (5) : ii. doi: 10.3934/dcdss.201705i 
[13] 
Lijun Yi, Zhongqing Wang. Legendre spectral collocation method for secondorder nonlinear ordinary/partial differential equations. Discrete and Continuous Dynamical Systems  B, 2014, 19 (1) : 299322. doi: 10.3934/dcdsb.2014.19.299 
[14] 
Jiahui Zhu, Zdzisław Brzeźniak. Nonlinear stochastic partial differential equations of hyperbolic type driven by Lévytype noises. Discrete and Continuous Dynamical Systems  B, 2016, 21 (9) : 32693299. doi: 10.3934/dcdsb.2016097 
[15] 
Herbert Koch. Partial differential equations with nonEuclidean geometries. Discrete and Continuous Dynamical Systems  S, 2008, 1 (3) : 481504. doi: 10.3934/dcdss.2008.1.481 
[16] 
Lorenzo Zambotti. A brief and personal history of stochastic partial differential equations. Discrete and Continuous Dynamical Systems, 2021, 41 (1) : 471487. doi: 10.3934/dcds.2020264 
[17] 
Eugenia N. Petropoulou, Panayiotis D. Siafarikas. Polynomial solutions of linear partial differential equations. Communications on Pure and Applied Analysis, 2009, 8 (3) : 10531065. doi: 10.3934/cpaa.2009.8.1053 
[18] 
Arnulf Jentzen. Taylor expansions of solutions of stochastic partial differential equations. Discrete and Continuous Dynamical Systems  B, 2010, 14 (2) : 515557. doi: 10.3934/dcdsb.2010.14.515 
[19] 
Nguyen Thieu Huy, Ngo Quy Dang. Dichotomy and periodic solutions to partial functional differential equations. Discrete and Continuous Dynamical Systems  B, 2017, 22 (8) : 31273144. doi: 10.3934/dcdsb.2017167 
[20] 
Runzhang Xu. Preface: Special issue on advances in partial differential equations. Discrete and Continuous Dynamical Systems  S, 2021, 14 (12) : ii. doi: 10.3934/dcdss.2021137 
2020 Impact Factor: 1.392
Tools
Metrics
Other articles
by authors
[Back to Top]