Results 51 to 60 of about 2,630 (152)
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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On hyperbolic systems with time dependent H\"older characteristics [PDF]
, 2015 In this paper we study the well-posedness of weakly hyperbolic systems with time dependent coefficients. We assume that the eigenvalues are low regular, in the sense that they are H\"older with respect to $t$.
Garetto, Claudia, Ruzhansky, Michael
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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 +84 more
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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
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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 +2 more
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Analytic and summable solutions of inhomogeneous moment partial differential equations
, 2016 We study the Cauchy problem for a general inhomogeneous linear moment partial differential equation of two complex variables with constant coefficients, where the inhomogeneity is given by the formal power series.
Michalik, Sławomir
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Cauchy problem for hyperbolic systems in Gevrey class. A note on Gevrey indices [PDF]
Annales de la Faculté des sciences de Toulouse : Mathématiques, 2000 The author considers the hyperbolic system \[ \begin{gathered} [I_4 D_t+ A(t) D_x+ B(t)]u(t,x)= 0,\\ u(0,x)= u_0(x)\end{gathered} \] in \(\Omega= [0,T]\times \mathbb{R}^1_x\) where \(I_4\) denotes the unit matrix of order 4 and \[ A(t)= \begin{pmatrix} \lambda(t) & 1 & 0 & 0\\ 0 &\lambda(t) & a(t) & 0\\ 0 & 0 & \mu(t) & 1\\ 0 & 0 & 0 & \mu(t)\end ...
openaire +2 more sources
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
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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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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
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