Results 51 to 60 of about 544 (183)
A parametrised version of Moser's modifying terms theorem [PDF]
A sharpened version of Moser's `modifying terms' KAM theorem is derived, and it is shown how this theorem can be used to investigate the persistence of invariant tori in general situations, including those where some of the Floquet exponents of the ...
Wagener, F.O.O.
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Analyticity and Gevrey class regularity for a Kuramoto-Sivashinsky equation in space dimension two
, 2001 We consider here solutions to a Kuramoto-Sivashinsky equation in space dimension two.
Pinto, F.C.
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Resurgent aspects of applied exponential asymptotics
Studies in Applied Mathematics, Volume 152, Issue 3, Page 974-1025, April 2024.Abstract In many physical problems, it is important to capture exponentially small effects that lie beyond‐all‐orders of an algebraic asymptotic expansion; when collected, the full asymptotic expansion is known as a trans‐series. Applied exponential asymptotics has been enormously successful in developing practical tools for studying the leading ...
Samuel Crew, Philippe H. Trinh
wiley +1 more source
Abstract and Applied Analysis, Volume 2024, Issue 1, 2024.For q > 1, a new Green’s function provides solutions of inhomogeneous multiplicatively advanced ordinary differential equations (iMADEs) of form y(N)(t) − Ay(qt) = f(t) for t ∈ [0, ∞). Such solutions are extended to global solutions on ℝ. Applications to inhomogeneous separable multiplicatively advanced partial differential equations are presented ...
David W. Pravica +3 more
wiley +1 more source
[[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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NAVIER–STOKES EQUATIONS ON THE β-PLANE [PDF]
, 2012 Mathematical analysis has been undertaken for the vorticity formulation of the two dimensional Navier–Stokes equation on the β-plane with periodic boundary conditions. This equation describes the flow of fluid near the equator of the Earth. The long time
Al-Jaboori, Mustafa Ali Hussain +1 more
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Gevrey Classes on compact Lie groups and applications
, 2016 Nesse trabalho estudamos as classes de Gevrey e as ultradistribuições em grupos de Lie compactos, que é a generalização natural do toro no contexto de análise de Fourier. Para tal utilizamos a teoria de vetores Gevrey.
Nicholas Braun Rodrigues +1 more
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Abstract and Applied Analysis, Volume 2024, Issue 1, 2024.We examine a linear q−difference differential equation, which is singular in complex time t at the origin. Its coefficients are polynomial in time and bounded holomorphic on horizontal strips in one complex space variable. The equation under study represents a q−analog of a singular partial differential equation, recently investigated by the author ...
Stéphane Malek, Rosanna Manzo
wiley +1 more source
Gevrey regularity for a class of dissipative equations with analytic nonlinearity
, 2014 In this paper, we establish Gevrey class regularity of solutions to a class of dissipative equations with an analytic nonlinearity in the whole space. This generalizes the results of Ferrari and Titi in the periodic space case with initial data in L2L2 ...
Biswas, Animikh, Bae, Hantaek
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Outgoing Solutions Via Gevrey-2 Properties [PDF]
, 2021 Gajic–Warnick [8] have recently proposed a definition of scattering resonances based on Gevrey-2 regularity at infinity and introduced a new class of potentials for which resonances can be defined.
Zworski, M, Galkowski, J
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