Results 61 to 70 of about 9,375 (294)
Multipliers of the Hilbert spaces of Dirichlet series [PDF]
Chaman Kumar Sahu
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ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti +2 more
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Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks
ABSTRACT The existence of global weak solutions to a partial‐differential‐algebraic system is proved. The system consists of the drift‐diffusion equations for the electron, hole, and oxide vacancy densities in a memristor device, the Poisson equation for the electric potential, and the differential‐algebraic equations for an electric network.
Ansgar Jüngel, Tuấn Tùng Nguyến
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Numerical Investigation of a Diffusive SIR Model: Focus on Positivity Preservation
ABSTRACT In this paper, we consider a system of semilinear partial differential equations (PDEs) representing a spatially extended SIR epidemic model. A brief analytical investigation of the well‐posedness and positivity of the solutions is provided in the appendix, while the main focus is on the numerical treatment of the model.
Rahele Mosleh +2 more
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Explicit‐Implicit Material Point Method for Dense Granular Flows With a Novel Regularized µ(I) Model
ABSTRACT The material point method (MPM) is widely employed to simulate granular flows. Although explicit time integration is favored in most current MPM implementations for its simplicity, it cannot rigorously incorporate the incompressible µ(I)‐rheology, an efficient model ubiquitously adopted in other particle‐based numerical methods. While operator‐
Hang Feng, Zhen‐Yu Yin
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Generalized types of the growth of Dirichlet series
Let $A\in(-\infty,+\infty]$ and $\Phi$ be a continuously on $[\sigma_0,A)$ function such that $\Phi(\sigma)\to+\infty$ as $\sigma\to A-0$. We establish a necessary and sufficient condition on a nonnegative sequence $\lambda=(\lambda_n)$, increasing to $+\
T.Ya. Hlova, P.V. Filevych
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Gram Points in the Universality of the Dirichlet Series with Periodic Coefficients [PDF]
Darius Šiaučiūnas, Monika Tekorė
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On absolutely convergent Dirichlet series [PDF]
satisfying 1 b,j < oo, if and only if f(s) is bounded away from zero in the half-plane o?0. This discovery amounts to a determination of the spectrum of the Banach-algebra element associated with f(s), and it thus makes available for the theory of ordinary Dirichlet series the well-known theorem of Gelfand on analytic functions of Banach-algebra ...
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Engineered Gravel Trench Hyporheic Exchange to Create Cold‐Water Thermal Refuges
ABSTRACT Warming rivers are driving a loss or fragmentation of cold‐water habitat and providing the impetus to develop proactive thermal management approaches to maintain suitable habitat in rivers. One innovative approach is through the creation of cold‐water thermal refuges during periods of thermal stress for aquatic species.
Kathryn A. Smith +3 more
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On the relative growth of Dirichlet series with zero abscissa of absolute convergence
O. M. Mulyava
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