Gevrey class - Open Access .click

Acta Mathematica Scientia, 2000
The paper presents several new results concerning the Gevrey hypoellipticity of the totally characteristic operators of the form \[ P=t^m D^m_t+ \sum^m_{j=1} P_j(t,x, D_x)t^{m-j} D_t^{m-j}, \] where \(x\in \mathbb{R}^n\) denotes the tangential variable, and \(t\geq 0\) is the normal variable (with the boundary at \(t=0)\).
Tian, Yan, Zhou, Di, Chen, Hua
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Vanishing viscosity limit of Navier–Stokes Equations in Gevrey class

Mathematical Methods in the Applied Sciences, 2017
In this paper we consider the inviscid limit for the periodic solutions to Navier-Stokes equation in the framework of Gevrey class. It is shown that the lifespan for the solutions to Navier-Stokes equation is independent of viscosity, and that the
Feng Cheng, Wei-Xi Li, Chao-Jiang Xu
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Gevrey class regularity for solutions of micropolar fluid equations

Journal of Mathematical Analysis and Applications, 2009
In this paper we consider the solutions of micropolar fluid equations in space dimension two with periodic boundary condition. We show that the strong solutions are analytic in time with values in an appropriate Gevrey class of function, provided that ...
Szopa, Piotr
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smoothness and regularity of solutions to pdes
pdes in connection with fluid mechanics
hypoelliptic equations

fos: mathematics
analysis of pdes math.ap
hyperbolic equations

gevrey classes
mathematics - analysis of pdes
gevrey regularity