Global axisymmetric Euler flows with rotation

[1]  T. Hou.  Potential singularity of the 3D Euler equations in the interior domain , 2021, Foundations of Computational Mathematics.

[2]  Michele Coti Zelati,et al.  Nonlinear inviscid damping and shear‐buoyancy instability in the two‐dimensional Boussinesq equations , 2021, Communications on Pure and Applied Mathematics.

[3]  N. Masmoudi,et al.  On the stability of self-similar blow-up for $C^{1,\alpha}$ solutions to the incompressible Euler equations on $\mathbb{R}^3$ , 2019, Cambridge Journal of Mathematics.

[4]  A. Ionescu,et al.  Axi‐symmetrization near Point Vortex Solutions for the 2D Euler Equation , 2019, Communications on Pure and Applied Mathematics.

[5]  Tarek M. Elgindi,et al.  Finite-time singularity formation for $C^{1,\alpha }$ solutions to the incompressible Euler equations on $\mathbb {R}^3$ , 2019, Annals of Mathematics.

[6]  Kyudong Choi.  Stability of Hill's spherical vortex , 2020, Communications on Pure and Applied Mathematics.

[7]  Yan Guo,et al.  On the stabilizing effect of rotation in the 3d Euler equations , 2020, Communications on Pure and Applied Mathematics.

[8]  E. Titi,et al.  Finite-time blowup and ill-posedness in Sobolev spaces of the inviscid primitive equations with rotation , 2020, 2009.04017.

[9]  Renhui Wan,et al.  Long time existence of classical solutions for the rotating Euler equations and related models in the optimal Sobolev space , 2020, Nonlinearity.

[10]  N. Masmoudi,et al.  Nonlinear inviscid damping for a class of monotone shear flows in finite channel , 2020, 2001.08564.

[11]  A. Ionescu,et al.  Nonlinear inviscid damping near monotonic shear flows , 2020, Acta Mathematica.

[12]  Frédéric Charve.  Enhanced convergence rates and asymptotics for a dispersive Boussinesq-type system with large ill-prepared data , 2019, Pure and Applied Analysis.

[13]  Sen Wong,et al.  Finite-time singularity formation for C 1 solutions to the compressible Euler equations with time-dependent damping , 2021, Applicable Analysis.

[14]  P. Constantin,et al.  Remarks on a paper by Gavrilov: Grad–Shafranov equations, steady solutions of the three dimensional incompressible Euler equations with compactly supported velocities, and applications , 2019, Geometric and Functional Analysis.

[15]  A. V. Gavrilov.  A steady Euler flow with compact support , 2018, Geometric and Functional Analysis.

[16]  A. Ionescu,et al.  On the Global Regularity for a Wave-Klein—Gordon Coupled System , 2017, Acta Mathematica Sinica, English Series.

[17]  M. Ifrim,et al.  Two-dimensional gravity water waves with constant vorticity, I: Cubic lifespan , 2015, Analysis & PDE.

[18]  N. Masmoudi,et al.  On the Stability of Self-similar Blow-up for C Solutions to the Incompressible Euler Equations on R , 2019 .

[19]  Jiecheng Chen,et al.  Decay estimate and well-posedness for the 3D Euler equations with Coriolis force , 2018 .

[20]  A. Ionescu,et al.  Global Regularity for 2d Water Waves with Surface Tension , 2014, Memoirs of the American Mathematical Society.

[21]  L. Ferreira,et al.  On the 3D Euler equations with Coriolis force in borderline Besov spaces , 2017, 1706.07985.

[22]  Yu Deng,et al.  The Euler–Maxwell System for Electrons: Global Solutions in 2D , 2016, 1605.05340.

[23]  F. Pusateri,et al.  On the Global Stability of a Beta-Plane Equation , 2016, 1610.03479.

[24]  Yu Deng.  Multispeed Klein-Gordon systems in dimension three , 2016, 1602.01820.

[25]  Yu Deng,et al.  Global solutions of the gravity-capillary water-wave system in three dimensions , 2016 .

[26]  Ryo Takada.  Long time existence of classical solutions for the 3D incompressible rotating Euler equations , 2016 .

[27]  Klaus Widmayer.  Convergence to Stratified Flow for an Inviscid 3D Boussinesq System , 2015, 1509.09216.

[28]  T. Elgindi,et al.  Long Time Stability for Solutions of a β‐Plane Equation , 2015, 1509.05355.

[29]  Thomas Y. Hou,et al.  Toward the Finite-Time Blowup of the 3D Axisymmetric Euler Equations: A Numerical Investigation , 2014, Multiscale Model. Simul..

[30]  Sanghyuk Lee,et al.  Dispersive estimates for the Navier-Stokes equations in the rotational framework , 2014, Advances in Differential Equations.

[31]  R. Fitzpatrick,et al.  Plasma Physics: An Introduction , 2014 .

[32]  M. Ifrim,et al.  The Lifespan of Small Data Solutions in Two Dimensional Capillary Water Waves , 2014, 1406.5471.

[33]  P. Germain,et al.  Bilinear Dispersive Estimates Via Space Time Resonances, Dimensions Two and Three , 2014, Archive for Rational Mechanics and Analysis.

[34]  Youngwoo Koh,et al.  Strichartz estimates for the Euler equations in the rotational framework , 2014 .

[35]  Zhen Lei,et al.  On Finite Time Singularity and Global Regularity of an Axisymmetric Model for the 3D Euler Equations , 2014, Archive for Rational Mechanics and Analysis.

[36]  P. Germain,et al.  Bilinear Dispersive Estimates Via Space Time Resonances, Dimensions Two and Three , 2013, 1310.3659.

[37]  N. Masmoudi,et al.  Inviscid damping and the asymptotic stability of planar shear flows in the 2D Euler equations , 2013, 1306.5028.

[38]  Fabio Pusateri,et al.  Global solutions for the gravity water waves system in 2d , 2013, Inventiones mathematicae.

[39]  Yan Guo,et al.  The Euler-Maxwell two-fluid system in 3D , 2013, 1303.1060.

[40]  Nader Masmoudi,et al.  Global Existence for Capillary Water Waves , 2012, 1210.1601.

[41]  A. Ionescu,et al.  Global solutions of quasilinear systems of Klein--Gordon equations in 3D , 2012, 1208.2661.

[42]  T. Hou,et al.  On Finite Time Singularity and Global Regularity of an Axisymmetric Model for the 3D Euler Equations , 2012, 1203.2980.

[43]  K. Atkinson,et al.  Spherical Harmonics and Approximations on the Unit Sphere: An Introduction , 2012 .

[44]  J. McWilliams.  Fundamentals of Geophysical Fluid Dynamics , 2011 .

[45]  A. Ionescu,et al.  The Euler–Poisson System in 2D: Global Stability of the Constant Equilibrium Solution , 2011, 1110.0798.

[46]  J. Kato,et al.  A new proof of long-range scattering for critical nonlinear Schrödinger equations , 2010, Differential and Integral Equations.

[47]  Yan Guo,et al.  Global Smooth Ion Dynamics in the Euler-Poisson System , 2010, 1003.3653.

[48]  Pierre Germain,et al.  Space-time resonances , 2011, 1102.1695.

[49]  P. Germain,et al.  Global solutions for the gravity water waves equation in dimension 3 , 2009, 0906.5343.

[50]  T. Gallay,et al.  Global Existence and Long-Time Asymptotics for Rotating Fluids in a 3D Layer , 2009, 0901.1199.

[51]  K. Nakanishi,et al.  Scattering theory for the Gross-Pitaevskii equation in three dimensions , 2008, 0803.3208.

[52]  A. Majda.  A MATHEMATICAL REVIEW OF THE ANALYSIS OF THE BETAPLANE MODEL AND EQUATORIAL WAVES , 2008 .

[53]  L. Saint-Raymond,et al.  Chapter 5 - On the influence of the Earth's Rotation on Geophysical Flows , 2007 .

[54]  Rene F. Swarttouw,et al.  Orthogonal Polynomials , 2005, Series and Products in the Development of Mathematics.

[55]  Alexandre Dutrifoy.  Examples of dispersive effects in non-viscous rotating fluids , 2005 .

[56]  B. Desjardins,et al.  Anisotropy and dispersion in rotating fluids , 2002 .

[57]  A. Majda,et al.  Vorticity and incompressible flow , 2001 .

[58]  E. Grenier.  Oscillatory perturbations of the Navier Stokes equations , 1997 .

[59]  Alex Mahalov,et al.  Regularity and integrability of 3D Euler and Navier–Stokes equations for rotating fluids , 1997 .

[60]  Timothy S. Murphy,et al.  Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals , 1993 .

[61]  Elias M. Stein,et al.  Harmonic Analysis (PMS-43), Volume 43: Real-Variable Methods, Orthogonality, and Oscillatory Integrals. (PMS-43) , 1993 .

[62]  Jalal Shatah,et al.  Normal forms and quadratic nonlinear Klein‐Gordon equations , 1985 .

[63]  Sergiu Klainerman,et al.  Global existence of small amplitude solutions to nonlinear klein-gordon equations in four space-time dimensions , 1985 .

[64]  J. Holton.  Geophysical fluid dynamics. , 1983, Science.

[65]  Mehdipour Mohammad.  The stability of hill's spherical vortex , 1983 .

[66]  C. Goertz.  Plasma physics. , 1982, Science.

[67]  L. Fraenkel,et al.  A global theory of steady vortex rings in an ideal fluid , 1973 .