Results 41 to 50 of about 3,445 (164)
International Journal of Differential Equations, Volume 2025, Issue 1, 2025.In this work, consideration is given to the initial value problem associated with the periodic fifth‐order KdV–BBM equation. It is shown that the uniform radius of spatial analyticity σ(t) of solution at time t is bounded from below by ct−2/3 (for some c > 0), given initial data η0 that is analytic on the circle and has a uniform radius of spatial ...
Tegegne Getachew, Giovanni P. Galdi
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On some generalizations of Gevrey classes
Mathematische Nachrichten, 2011 The research of M. Carmen Gomez-Collado was partially supported by FEDER and MEC, Proyect No. MTM2007-62643, and Project No. MTM2010-15200.
Daniela Calvo +1 more
openaire +3 more sources
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.We investigate the initial value problem associated to the higher order nonlinear Schrödinger equation i∂tu+−1j+1∂x2ju=u2ju x,t≠0∈ℝ,ux,0=u0x, where j ≥ 2 is any integer, u is a complex valued function, and the initial data u0 is real analytic on ℝ and has a uniform radius of spatial analyticity σ0 in the space variable.
Tegegne Getachew +3 more
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Electronic Journal of Differential Equations, 2017 We show that any germ of smooth hyperbolic diffeomophism at a fixed point is conjugate to its linear part, using a transformation with a Mourtada type functions, which (roughly) means that it may contain terms like $x \log |x|$.
Patrick Bonckaert, Vincent Naudot
doaj
Decay Rate on the Radius of Spatial Analyticity to Solutions for the Modified Camassa–Holm Equation
Journal of Mathematics, Volume 2025, Issue 1, 2025.The initial value problem associated with the modified Camassa–Holm equation for initial data u0(x) that is analytic on the line and having uniform radius of spatial analyticity σ0 is considered. We have shown the persistence of the radius of spatial analyticity till some time δ.
Tegegne Getachew, Yongqiang Fu
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de Sitter State in Heterotic String Theory
Fortschritte der Physik, Volume 72, Issue 11, November 2024.Abstract Recent no‐go theorems have ruled out four‐dimensional classical de Sitter vacua in heterotic string theory. On the other hand, the absence of a well‐defined Wilsonian effective action and other related phenomena also appear to rule out such time‐dependent vacua with de Sitter isometries, even in the presence of quantum corrections.
Stephon Alexander +4 more
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Linearization of analytic and non--analytic germs of diffeomorphisms of $({\mathbb C},0)$
, 2000 We study Siegel's center problem on the linearization of germs of diffeomorphisms in one variable. In addition of the classical problems of formal and analytic linearization, we give sufficient conditions for the linearization to belong to some algebras ...
Carletti, T., Marmi, S.
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Agrosystems, Geosciences &Environment, Volume 7, Issue 3, September 2024.Abstract Remote sensing tools, along with Global Navigation Satellite System cattle collars and digital soil maps, may help elucidate spatiotemporal relationships among soils, terrain, forages, and animals. However, standard computational procedures preclude systems‐level evaluations across this continuum due to data inoperability and processing ...
A. J. Ashworth +8 more
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Taming non-analyticities of QFT observables
Journal of High Energy PhysicsMany observables in quantum field theories are involved non-analytic functions of the parameters of the theory. However, it is expected that they are not arbitrarily wild, but rather have only a finite amount of geometric complexity. This expectation has
Thomas W. Grimm +2 more
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Spatial smoothness of the stationary solutions of the 3D Navier--Stokes equations
, 2006 We consider stationary solutions of the three dimensional Navier--Stokes equations (NS3D) with periodic boundary conditions and driven by an external force which might have a deterministic and a random part.
Odasso, Cyril
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