Results 31 to 40 of about 157 (145)

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
wiley   +1 more source

Taming non-analyticities of QFT observables

Journal of High Energy Physics
Many 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, Giovanni Ravazzini, Mick van Vliet   +2 more
doaj   +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

The Metivier inequality and ultradifferentiable hypoellipticity

Mathematische Nachrichten, Volume 297, Issue 7, Page 2517-2531, July 2024.
Abstract In 1980, Métivier characterized the analytic (and Gevrey) hypoellipticity of L2$L^2$‐solvable partial linear differential operators by a priori estimates. In this note, we extend this characterization to ultradifferentiable hypoellipticity with respect to Denjoy–Carleman classes given by suitable weight sequences. We also discuss the case when
Paulo D. Cordaro, Stefan Fürdös
wiley   +1 more source

KdV-type equations in projective Gevrey classes

, 2022
We prove well-posedness of the Cauchy problem for a class of third order quasilinear evolution equations with variable coefficients in projective Gevrey spaces. The class considered is connected with several equations in Mathematical Physics as the KdV and KdVB equation and some of their many generalizations.
Junior, Alexandre Arias, Ascanelli, Alessia, Cappiello, Marco   +2 more
openaire   +2 more sources

Taylor dispersion and phase mixing in the non‐cutoff Boltzmann equation on the whole space

Proceedings of the London Mathematical Society, Volume 129, Issue 1, July 2024.
Abstract In this paper we describe the long‐time behavior of the non‐cutoff Boltzmann equation with soft potentials near a global Maxwellian background on the whole space in the weakly collisional limit (that is, infinite Knudsen number 1/ν→∞$1/\nu \rightarrow \infty$). Specifically, we prove that for initial data sufficiently small (independent of the
Jacob Bedrossian, Michele Coti Zelati, Michele Dolce   +2 more
wiley   +1 more source

Soft Riemann‐Hilbert problems and planar orthogonal polynomials

Communications on Pure and Applied Mathematics, Volume 77, Issue 4, Page 2413-2451, April 2024.
Abstract Riemann‐Hilbert problems are jump problems for holomorphic functions along given interfaces. They arise in various contexts, for example, in the asymptotic study of certain nonlinear partial differential equations and in the asymptotic analysis of orthogonal polynomials. Matrix‐valued Riemann‐Hilbert problems were considered by Deift et al. in
Haakan Hedenmalm
wiley   +1 more source

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