Results 11 to 20 of about 2,630 (152)
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
wiley +1 more source
Open Mathematics, 2020 Given the abstract evolution equation y′(t)=Ay(t),t∈ℝ,y^{\prime} (t)=Ay(t),t\in {\mathbb{R}}, with a scalar type spectral operator A in a complex Banach space, we find conditions on A, formulated exclusively in terms of the location of its spectrum in ...
Markin Marat V.
doaj +1 more source
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
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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Microhyperbolic Operators in Gevrey Classes
Publications of the Research Institute for Mathematical Sciences, 1989 This paper considers microhyperbolic operators in Gevrey classes and proves the microlocal well-posedness of the microlocal Cauchy problem. It also establishes theorems on the propagation of singularities for microhyperbolic operators. The methods show one how to obtain microlocal results (e.g.
Kajitani, Kunihiko +1 more
openaire +2 more sources
Gevrey Class Smoothing Effect for the Prandtl Equation [PDF]
SIAM Journal on Mathematical Analysis, 2016 It is well known that the Prandtl boundary layer equation is instable, and the well-posedness in Sobolev space for the Cauchy problem is an open problem. Recently, under the Oleinik's monotonicity assumption for the initial datum, [1] have proved the local well-posedness of Cauchy problem in Sobolev space (see also [21]).
Wei-Xi Li, Di Wu, Chao-Jiang Xu
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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
On a Watson-like Uniqueness Theorem and Gevrey Expansions [PDF]
, 2005 We present a maximal class of analytic functions, elements of which are in one-to-one correspondence with their asymptotic expansions. In recent decades it has been realized (B. Malgrange, J. Ecalle, J.-P. Ramis, Y.
A. D. Sokal +17 more
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On $q-$Gevrey asymptotics for singularly perturbed $q-$difference-differential problems with an irregular singularity [PDF]
, 2011 We study a $q-$analog of a singularly perturbed Cauchy problem with irregular singularity in the complex domain which generalizes a previous result by S. Malek in \cite{malek}. First, we construct solutions defined in open $q-$spirals to the origin.
Lastra, Alberto, Malek, Stéphane
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Symbols of Pseudodifferential Operators Associated to Gevrey Kernel's Type [PDF]
, 2003 In this article, we aim at proving the truthfulness of the inverse Theorem (1) of [5]. More precisely, we associated symbols of Gevrey type to pseudodifferential operators when the latter are given by their kernels.
Hazi, Mohammed
core +1 more source