Results 71 to 80 of about 518 (155)
Gevrey regularity of spatially homogeneous Boltzmann equation without cutoff
, 2012 In this paper, we study the Gevrey regularity of spatially homogeneous Boltzmann equation without angular cutoff. We prove the propagation of Gevrey regularity for C∞ solutions with the Maxwellian decay to the Cauchy problem of spatially homogeneous ...
Zhang, Teng-Fei, Yin, Zhaoyang
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Propagation of Gevrey regularity for solutions of the Boltzmann equation for Maxwellian molecules
, 2009 We prove that Gevrey regularity is propagated by the Boltzmann equation with Maxwellian molecules, with or without angular cut-off. The proof relies on the Wild expansion of the solution to the equation and on the characterization of Gevrey regularity by
DESVILLETTES, LAURENT +5 more
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ON THE ANALYTICITY AND GEVREY CLASS REGULARITY UP TO THE BOUNDARY FOR THE EULER EQUATIONS
, 2010 We consider the Euler equations in a three-dimensional Gevrey-class bounded domain. Using Lagrangian coordinates we obtain the Gevrey-class persistence of the solution, up to the boundary, with an explicit estimate on the rate of decay of the Gevrey ...
Vlad Vicol, Igor Kukavica
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Tunisian Journal of Mathematics, 2019 General Hörmander's operators of the form $ P = \sum_{j=1} ^m X_j ^2 + Y + b $ in an open set $ \Omega \subset \mathbb{R}^n$, where $Y, X_1,\dots, X_m $ are smooth vector fields in $ \Omega $ and $b \in C^\infty ( \Omega )$, are considered. More precisely, the author studies the existence of local estimates giving local domination of the ordinary ...
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New Results on Gevrey Well Posedness for the Schrödinger–Korteweg–De Vries System
Mathematical and Computational ApplicationsIn this work, we prove that the initial value problem for the Schrödinger–Korteweg–de Vries (SKdV) system is locally well posed in Gevrey spaces for s>−34 and k≥0. This advancement extends recent findings regarding the well posedness of this model within
Feriel Boudersa +2 more
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The presence of symplectic strata improves the Gevrey regularity for sums of squares
, 2018 We consider a class of operators of the type sum of squares of real analytic vector fields satisfying the Hormander bracket condition. The Poisson-Treves stratification is associated to the vector fields.
Paolo Albano, Antonio Bove
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[[alternative]]Gevrey class regularity for parabolic equations and its application
, 2010 [[abstract]]We consider the regularity of parabolic equations. We obtain that the solution belongs to Gevrey class 2 up to boundary if functions in the equation belong to Gevrey class 2 in all dependent variables.
李珮琳 +3 more
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Gevrey regularity of the periodic gKdV equation
Journal of Differential Equations, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hannah, Heather +2 more
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AxiomsWe study the incompressible fractional viscous–resistive magnetohydrodynamic system on Rn with fractional diffusion (−Δ)α, where α∈(1/2,1], and with positive viscosity and resistivity coefficients μ,ν>0.
Siyi Xie +2 more
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Weighted gevrey class regularity of euler equation in the whole space
, 2017 In this paper we study the weighted Gevrey class regularity of Euler equation in the whole space R 3. We first establish the local existence of Euler equation in weighted Sobolev space, then obtain the weighted Gevrey regularity of Euler equation.
Xu, And Chao-Jiang +2 more
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