Results 41 to 50 of about 429 (166)

Umbral Theory and the Algebra of Formal Power Series

Axioms
Umbral theory, formulated in its modern version by S. Roman and G. C. Rota, has been reconsidered in more recent times by G. Dattoli and collaborators with the aim of devising a working computational tool in the framework of special function theory ...
Roberto Ricci
doaj   +1 more source

On nonlinear Landau damping and Gevrey regularity [PDF]

, 2023
In this article we study the problem of nonlinear Landau damping for the Vlasov-Poisson equations on the torus. As our main result we show that for perturbations initially of size $\epsilon > 0$ and time intervals $(0, \epsilon−N)$ one obtains nonlinear ...
Zillinger, Christian
core   +2 more sources

Newton Polygons and Formal Gevrey Classes

Publications of the Research Institute for Mathematical Sciences, 1990
Untersucht wird ein Cauchyproblem \(Pu=f(t,x)\), \(D^ j_ tu|_{t=0}=g_ j\) (0\(\leq j\leq m-1)\) wobei P die Form hat \(P=D_ t^ m+\sum_{0\leq jm\) ist. Hierzu existiert eine eindeutige Lösung \(u\in G^{\infty}\), nämlich als eine formale Potenzreihe. Gezeigt wird: es ist \(u\in G^ s\) mit \(s=1+1/k_ 1\).
openaire   +3 more sources

New Lower Bounds of Spatial Analyticity Radius for the Kawahara Equation

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
In this paper, an algebraic decay rate for the radius of spatial analyticity of solutions to the Kawahara equation ∂tu+β∂x5u+α∂x3u+u∂xu=00,β≠ is investigated. With given analytic initial data having a fixed radius of analyticity σ0, we derive an algebraic decay rate σ(t) ~ |t|−1/2 for the uniform radius of spatial analyticity of solutions to the ...
Tegegne Getachew, Jaume Giné
wiley   +1 more source

Asymptotic Lower Bound on the Spatial Analyticity Radius for Solutions of the Periodic Fifth Order KdV–BBM Equation

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
wiley   +1 more source

Algebraic Lower Bounds on the Spatial Analyticity Radius for Higher Order Nonlinear Schrödinger Equations

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, Birilew Belayneh, Betre Shiferaw, Huaiqin Wu   +3 more
wiley   +1 more source

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, Keshav Dasgupta, Archana Maji, Pichai Ramadevi, Radu Tatar   +4 more
wiley   +1 more source

Predicting spatiotemporal patterns of productivity and grazing from multispectral data using neural network analysis based on system complexity

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, A. Avila, H. Smith, T. E. Winzeler, P. Owens, C. Flynn, P. O'Brien, D. Philipp, J. Su   +8 more
wiley   +1 more source

Taming the terminological tempest in invasion science

Biological Reviews, Volume 99, Issue 4, Page 1357-1390, August 2024.
ABSTRACT Standardised terminology in science is important for clarity of interpretation and communication. In invasion science – a dynamic and rapidly evolving discipline – the proliferation of technical terminology has lacked a standardised framework for its development.
Ismael Soto, Paride Balzani, Laís Carneiro, Ross N. Cuthbert, Rafael Macêdo, Ali Serhan Tarkan, Danish A. Ahmed, Alok Bang, Karolina Bacela‐Spychalska, Sarah A. Bailey, Thomas Baudry, Liliana Ballesteros‐Mejia, Alejandro Bortolus, Elizabeta Briski, J. Robert Britton, Miloš Buřič, Morelia Camacho‐Cervantes, Carlos Cano‐Barbacil, Denis Copilaș‐Ciocianu, Neil E. Coughlan, Pierre Courtois, Zoltán Csabai, Tatenda Dalu, Vanessa De Santis, James W. E. Dickey, Romina D. Dimarco, Jannike Falk‐Andersson, Romina D. Fernandez, Margarita Florencio, Ana Clara S. Franco, Emili García‐Berthou, Daniela Giannetto, Milka M. Glavendekic, Michał Grabowski, Gustavo Heringer, Ileana Herrera, Wei Huang, Katie L. Kamelamela, Natalia I. Kirichenko, Antonín Kouba, Melina Kourantidou, Irmak Kurtul, Gabriel Laufer, Boris Lipták, Chunlong Liu, Eugenia López‐López, Vanessa Lozano, Stefano Mammola, Agnese Marchini, Valentyna Meshkova, Marco Milardi, Dmitrii L. Musolin, Martin A. Nuñez, Francisco J. Oficialdegui, Jiří Patoka, Zarah Pattison, Daniel Pincheira‐Donoso, Marina Piria, Anna F. Probert, Jes Jessen Rasmussen, David Renault, Filipe Ribeiro, Gil Rilov, Tamara B. Robinson, Axel E. Sanchez, Evangelina Schwindt, Josie South, Peter Stoett, Hugo Verreycken, Lorenzo Vilizzi, Yong‐Jian Wang, Yuya Watari, Priscilla M. Wehi, András Weiperth, Peter Wiberg‐Larsen, Sercan Yapıcı, Baran Yoğurtçuoğlu, Rafael D. Zenni, Bella S. Galil, Jaimie T. A. Dick, James C. Russell, Anthony Ricciardi, Daniel Simberloff, Corey J. A. Bradshaw, Phillip J. Haubrock   +84 more
wiley   +1 more source