Results 51 to 60 of about 23,971 (153)
Mathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 8793-8805, 30 May 2025.ABSTRACT We study a class of models for nonlinear acoustics, including the well‐known Westervelt and Kuznetsov equations, as well as a model of Rasmussen that can be seen as a thermodynamically consistent modification of the latter. Using linearization, energy estimates, and fixed‐point arguments, we establish the existence and uniqueness of solutions ...
Herbert Egger, Marvin Fritz
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Hereditary Ball-Covers for Some Banach Manifolds [PDF]
Proceedings of the American Mathematical Society, 1972 At a problem seminar in Ithaca, New York, during January 1969, James Eells raised the question (numbered 33 on the circulated list) of whether a paracompact Fréchet manifold admits a locally finite cover by open sets, all of whose intersections are contractible.
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Engineering Reports, Volume 7, Issue 5, May 2025.This study introduces the SBVIR model, incorporating breastfeeding and vaccination to predict and control rotavirus transmission. Numerical simulations show a 99% effectiveness compared to traditional models, and the Internet of Things applications in Smart Health Infrastructures significantly enhance disease monitoring and predictive control in ...
Titus Ifeanyi Chinebu +8 more
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Center manifolds and contractions on a scale of Banach spaces
Journal of Functional Analysis, 1987 AbstractWe give a new proof for the existence of a Ck-center manifold at a nonhyperbolic equilibrium point of a finite-dimensional vector field of class Ck. The problem is reduced to a fixed point problem on a scale of Banach spaces; these Banach spaces consist of mappings with a certain maximal exponential growth at infinity.
S. A. van Gils, André Vanderbauwhede
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Regularity and separation for Grušin‐type p‐Laplace operators
Mathematische Nachrichten, Volume 298, Issue 5, Page 1727-1757, May 2025.Abstract We analyze p‐Laplace type operators with degenerate elliptic coefficients. This investigation includes Grušin‐type p‐Laplace operators. We describe a separation phenomenon in elliptic and parabolic p‐Laplace type equations, which provide an illuminating illustration of simple jump discontinuities of the corresponding weak solutions ...
Daniel Hauer, Adam Sikora
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Journal of Food Science, Volume 90, Issue 5, May 2025.ABSTRACT Molecularly imprinted polymers (MIPs) have emerged as an innovative technology for the selective determination of aflatoxins, thus presenting a promising strategy for enhancing food safety. Aflatoxins are a potent group of mycotoxins that present significant health and economic challenges worldwide, highlighting the urgent need for rapid ...
Mesha Mbisana +4 more
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Differential Geometry and its Applications, 2019 Let $M$ be a closed manifold and let $N$ be a connected manifold without boundary. For each $k\in\mathbb{N}$ the set of $k$ times continuously differentiable maps between $M$ and $N$ has the structure of a smooth Banach manifold where the underlying manifold topology is the compact-open $C^k$ topology.
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Integrability on Direct Limit Banach manifolds
, 2014 This paper is devoted to the framework of direct limit of anchored Banach bundles over a convenient manifold which is a direct limit of Banach manifold. In particular we give a criterion of integrability for distributions on such convenient manifolds which are locally direct limits of particular sequences of Banach anchor ranges.
Cabau, Patrick, Pelletier, Fernand
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The number of equilibria of smooth infinite economies with separable utilities [PDF]
We construct an index theorem for smooth infinite economies with separable utilities that shows that generically the number of equilbria is odd. As a corollary, this gives a new proof of existence and gives conditions that guarantee global uniqueness of ...
Covarrubias, Enrique
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Determinacy of equilibria of smooth infinite economies [PDF]
This paper deals with generic determinacy of equilibria for infinite dimensional consumption spaces. Our work could be seen as an infinite-dimensional analogue of Dierker and Dierker (1972), by characterising equilibria of an economy as a zero of the ...
Covarrubias, Enrique
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