
Previous Article
An elementary approach to the 3D NavierStokes equations with Navier boundary conditions: Existence and uniqueness of various classes of solutions in the flat boundary case.
 DCDSS Home
 This Issue

Next Article
On the very weak solution for the Oseen and NavierStokes equations
Loss of smoothness and energy conserving rough weak solutions for the $3d$ Euler equations
1.  Laboratoire Jacques Louis Lions, Université Pierre et Marie Curie, 175 Avenue du Chevaleret, Paris 75013 
2.  Department of Mathematics and Department of Mechanics and Aerospace Engineering, University of California, Irvine, CA 92697, United States 
[1] 
Igor Kukavica, Vlad C. Vicol. The domain of analyticity of solutions to the threedimensional Euler equations in a half space. Discrete & Continuous Dynamical Systems, 2011, 29 (1) : 285303. doi: 10.3934/dcds.2011.29.285 
[2] 
Juan Vicente GutiérrezSantacreu. Two scenarios on a potential smoothness breakdown for the threedimensional Navier–Stokes equations. Discrete & Continuous Dynamical Systems, 2020, 40 (5) : 25932613. doi: 10.3934/dcds.2020142 
[3] 
Zineb Hassainia, Taoufik Hmidi. Steady asymmetric vortex pairs for Euler equations. Discrete & Continuous Dynamical Systems, 2021, 41 (4) : 19391969. doi: 10.3934/dcds.2020348 
[4] 
Christophe Cheverry, Mekki Houbad. A class of large amplitude oscillating solutions for three dimensional Euler equations. Communications on Pure & Applied Analysis, 2012, 11 (5) : 16611697. doi: 10.3934/cpaa.2012.11.1661 
[5] 
GuiQiang G. Chen, Hairong Yuan. Local uniqueness of steady spherical transonic shockfronts for the threedimensional full Euler equations. Communications on Pure & Applied Analysis, 2013, 12 (6) : 25152542. doi: 10.3934/cpaa.2013.12.2515 
[6] 
Xingwen Hao, Yachun Li, Zejun Wang. Nonrelativistic global limits to the three dimensional relativistic euler equations with spherical symmetry. Communications on Pure & Applied Analysis, 2010, 9 (2) : 365386. doi: 10.3934/cpaa.2010.9.365 
[7] 
Jian Su, Yinnian He. The almost unconditional convergence of the Euler implicit/explicit scheme for the three dimensional nonstationary NavierStokes equations. Discrete & Continuous Dynamical Systems  B, 2017, 22 (9) : 34213438. doi: 10.3934/dcdsb.2017173 
[8] 
Myoungjean Bae, Hyangdong Park. Threedimensional supersonic flows of EulerPoisson system for potential flow. Communications on Pure & Applied Analysis, , () : . doi: 10.3934/cpaa.2021079 
[9] 
Aibin Zang. Kato's type theorems for the convergence of EulerVoigt equations to Euler equations with Drichlet boundary conditions. Discrete & Continuous Dynamical Systems, 2019, 39 (9) : 49454953. doi: 10.3934/dcds.2019202 
[10] 
Yeping Li, Jie Liao. Stability and $ L^{p}$ convergence rates of planar diffusion waves for threedimensional bipolar EulerPoisson systems. Communications on Pure & Applied Analysis, 2019, 18 (3) : 12811302. doi: 10.3934/cpaa.2019062 
[11] 
XueLi Song, YanRen Hou. Attractors for the threedimensional incompressible NavierStokes equations with damping. Discrete & Continuous Dynamical Systems, 2011, 31 (1) : 239252. doi: 10.3934/dcds.2011.31.239 
[12] 
Nouressadat Touafek, Durhasan Turgut Tollu, Youssouf Akrour. On a general homogeneous threedimensional system of difference equations. Electronic Research Archive, , () : . doi: 10.3934/era.2021017 
[13] 
Zeqi Zhu, Caidi Zhao. Pullback attractor and invariant measures for the threedimensional regularized MHD equations. Discrete & Continuous Dynamical Systems, 2018, 38 (3) : 14611477. doi: 10.3934/dcds.2018060 
[14] 
Madalina Petcu, Roger Temam, Djoko Wirosoetisno. Averaging method applied to the threedimensional primitive equations. Discrete & Continuous Dynamical Systems, 2016, 36 (10) : 56815707. doi: 10.3934/dcds.2016049 
[15] 
Tong Zhang, Yuxi Zheng. Exact spiral solutions of the twodimensional Euler equations. Discrete & Continuous Dynamical Systems, 1997, 3 (1) : 117133. doi: 10.3934/dcds.1997.3.117 
[16] 
Ju Ge, Wancheng Sheng. The two dimensional gas expansion problem of the Euler equations for the generalized Chaplygin gas. Communications on Pure & Applied Analysis, 2014, 13 (6) : 27332748. doi: 10.3934/cpaa.2014.13.2733 
[17] 
Yuxi Zheng. Absorption of characteristics by sonic curve of the twodimensional Euler equations. Discrete & Continuous Dynamical Systems, 2009, 23 (1&2) : 605616. doi: 10.3934/dcds.2009.23.605 
[18] 
Roman Shvydkoy. Lectures on the Onsager conjecture. Discrete & Continuous Dynamical Systems  S, 2010, 3 (3) : 473496. doi: 10.3934/dcdss.2010.3.473 
[19] 
Okihiro Sawada. Analytic rates of solutions to the Euler equations. Discrete & Continuous Dynamical Systems  S, 2013, 6 (5) : 14091415. doi: 10.3934/dcdss.2013.6.1409 
[20] 
Luigi Ambrosio. Variational models for incompressible Euler equations. Discrete & Continuous Dynamical Systems  B, 2009, 11 (1) : 110. doi: 10.3934/dcdsb.2009.11.1 
2020 Impact Factor: 2.425
Tools
Metrics
Other articles
by authors
[Back to Top]