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
doaj
Gevrey Regularity of Solutions of Evolution Equations and Boundary Controllability
Chapters 1 to 4 of this work generalize the work of Littman and Markus on the 'Exact Boundary Controllability of a Hybrid System of Elasticity'. Chapter 5 is independent of the earlier chapters and it deals with the Gevrey regularity of strongly ...
Taylor SW
core
Echo Chains as a Linear Mechanism: Norm Inflation, Modified Exponents and Asymptotics. [PDF]
Deng Y, Zillinger C.
europepmc +1 more source
On Gevrey regularity of solutions for inhomogeneous nonlinear moment partial differential equations
In this article we investigate Gevrey regularity of formal power series solutions for a certain class of nonlinear moment partial differential equations, the inhomogeneity of which is $\sigma$-Gevrey with respect to the time variable $t$ for a fixed ...
Suwińska, Maria, Remy, Pascal
core
Optimal Flat Functions in Carleman-Roumieu Ultraholomorphic Classes in Sectors. [PDF]
Jiménez-Garrido J +3 more
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On Gevrey singularities of microhyperbolic operators
We study the Gevrey singularities of solutions of microhyperbolic equations using exponential weighted estimates in the phase space. In particular, we recover some known results on the propagation of Gevrey regularity in an elementary way, using ...
SORDONI, VANIA
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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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Local existence and Gevrey regularity of 3-D Navier–Stokes equations with ℓp initial data
We obtain local existence and Gevrey regularity of 3-D periodic Navier–Stokes equations in case the sequence of Fourier coefficients of the initial data is in ℓp ...
Biswas, Animikh
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Anomaly Non-renormalization in Interacting Weyl Semimetals. [PDF]
Giuliani A, Mastropietro V, Porta M.
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