Analyticity of the global attractor for the 3D regularized MHD equations
We study the three-dimensional (3D) regularized magnetohydrodynamics (MHD) equations. Using the method of splitting of the asymptotic approximate solutions into higher and lower Fourier components, we prove that the global attractor of the 3D ...
Caidi Zhao, Bei Li
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Echo Chains as a Linear Mechanism: Norm Inflation, Modified Exponents and Asymptotics. [PDF]
Deng Y, Zillinger C.
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Optimal Flat Functions in Carleman-Roumieu Ultraholomorphic Classes in Sectors. [PDF]
Jiménez-Garrido J +3 more
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Editorial of the special issue: vorticity, rotation and symmetry (V)-global results and nonlocal phenomena. [PDF]
Danchin R +3 more
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On the Effect of Fast Rotation and Vertical Viscosity on the Lifespan of the 3D Primitive Equations. [PDF]
Lin Q, Liu X, Titi ES.
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Anomaly Non-renormalization in Interacting Weyl Semimetals. [PDF]
Giuliani A, Mastropietro V, Porta M.
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Towards a safe and efficient clinical implementation of machine learning in radiation oncology by exploring model interpretability, explainability and data-model dependency. [PDF]
Barragán-Montero A +12 more
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On nonlinear Landau damping and Gevrey regularity
In this article we study the problem of nonlinear Landau damping for the Vlasov-Poisson equations on the torus. As our main result we show that for perturbations initially of size $ε>0$ and time intervals $(0,ε^{-N})$ one obtains nonlinear stability in regularity classes larger than Gevrey $3$, uniformly in $ε$.
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Anisotropic Gevrey regularity for mKdV on the circle
It is shown that the solution to the Cauchy problem for the modified Korteweg-de Vries equation with initial data in an analytic Gevrey space $G^\sigma$, $\sigma \>= 1$, as a function of the spacial variable belongs to the same Gevrey space. However, considered as function of time the solution does not belong to $G^\sigma$. In fact, it belong to $G^(3\
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This article studies the Cauchy problem of the 3D generalized incompressible magnetohydrodynamic equations in critical Fourier-Triebel-Lizorkin-Morrey spaces.
Teng Ma, Lihui Guo
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