Results 11 to 20 of about 2,611 (149)
Gevrey Hypoellipticity for a Class of Kinetic Equations [PDF]
Communications in Partial Differential Equations, 2011 In this paper, we study the Gevrey regularity of weak solutions for a class of linear and semi-linear kinetic equations, which are the linear model of spatially inhomogeneous Boltzmann equations without an angular cutoff.
Chen, Hua, Li, Weixi, Xu, Chao-Jiang
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Propagation of Gevrey regularity for solutions of Landau equations [PDF]
Kinetic and Related Models, 2008 By using the energy-type inequality, we obtain, in this paper, the result on propagation of Gevrey regularity for the solution of the spatially homogeneous Landau equation in the cases of Maxwellian molecules and hard ...
Chen, Hua, Li, Weixi, Xu, Chao-Jiang
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Communications on Pure and Applied Mathematics, Volume 76, Issue 12, Page 3685-3768, December 2023., 2023 Abstract We investigate the long‐time properties of the two‐dimensional inviscid Boussinesq equations near a stably stratified Couette flow, for an initial Gevrey perturbation of size ε. Under the classical Miles‐Howard stability condition on the Richardson number, we prove that the system experiences a shear‐buoyancy instability: the density variation
Jacob Bedrossian +3 more
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Resurgence of a de Sitter Glauber‐Sudarshan State: Nodal Diagrams and Borel Resummation
Fortschritte der Physik, Volume 71, Issue 12, December 2023., 2023 Abstract It is shown in this article that an explicit construction of a four‐dimensional de Sitter space may be performed using a diagrammatic approach via nodal diagrams emanating from the path integral representation of the Glauber‐Sudarshan state. Sum of these diagrams typically leads to an asymptotic series of Gevrey kind which can then be Borel ...
Suddhasattwa Brahma +6 more
wiley +1 more source
Global flows of insect transport and establishment: The role of biogeography, trade and regulations
Diversity and Distributions, Volume 29, Issue 11, Page 1478-1491, November 2023., 2023 Abstract Aim Non‐native species are part of almost every biological community worldwide, yet numbers of species establishments have an uneven global distribution. Asymmetrical exchanges of species between regions are likely influenced by a range of mechanisms, including propagule pressure, native species pools, environmental conditions and biosecurity.
Gyda Fenn‐Moltu +7 more
wiley +1 more source
Long‐Time Instability of the Couette Flow in Low Gevrey Spaces
Communications on Pure and Applied Mathematics, Volume 76, Issue 10, Page 2804-2887, October 2023., 2023 Abstract We prove the instability of the Couette flow if the disturbances is less smooth than the Gevrey space of class 2. This shows that this is the critical regularity for this problem since it was proved in [5] that stability and inviscid damping hold for disturbances which are smoother than the Gevrey space of class 2.
Yu Deng, Nader Masmoudi
wiley +1 more source
Smooth Gevrey normal forms of vector fields near a fixed point [PDF]
, 2013 We study germs of smooth vector fields in a neighborhood of a fixed point having an hyperbolic linear part at this point. It is well known that the "small divisors" are invisible either for the smooth linearization or normal form problem.
Stolovitch, Laurent
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Comment on “On the Carleman Classes of Vectors of a Scalar Type Spectral Operator”
International Journal of Mathematics and Mathematical Sciences, 2018 The results of three papers, in which the author inadvertently overlooks certain deficiencies in the descriptions of the Carleman classes of vectors, in particular the Gevrey classes, of a scalar type spectral operator in a complex Banach space ...
Marat V. Markin
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Double exponential stability of quasi-periodic motion in Hamiltonian systems [PDF]
, 2016 We prove that generically, both in a topological and measure-theoretical sense, an invariant Lagrangian Diophantine torus of a Hamiltonian system is doubly exponentially stable in the sense that nearby solutions remain close to the torus for an interval ...
A. Bounemoura +18 more
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Gevrey class regularity for parabolic equations
Differential and Integral Equations, 2001 We consider the regularity of parabolic equations. We obtain that the solution belongs to Gevrey class 2 up to the boundary if functions in the equation belong to Gevrey class 2 in all dependent variables.
Lee, Pei-Ling, Guo, Yung-Jen Lin
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