Results 131 to 140 of about 471,361 (266)
Demonstratio MathematicaWe consider the boundary value problem generated by a system of Dirac equations with polynomials of spectral parameter in the boundary condition. We investigate the continuity of the scattering function and provide Levinson-type formula, which shows that
Çöl Aynur
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
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On the Mean‐Field Limit of Consensus‐Based Methods
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Consensus‐based optimization (CBO) employs a swarm of particles evolving as a system of stochastic differential equations (SDEs). Recently, it has been adapted to yield a derivative free sampling method referred to as consensus‐based sampling (CBS). In this paper, we investigate the “mean‐field limit” of a class of consensus methods, including
Marvin Koß, Simon Weissmann, Jakob Zech
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Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks
Mathematical Methods in the Applied Sciences, EarlyView.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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Interaction Between Vortex‐Induced Vibrations and Base Vibrations in Piezoelectric Harvesters
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT In the present era, powering sensors using green energy is a significant challenge. One promising solution for the power supply of small sensors relies on piezoelectric energy harvesters excited by vortex‐induced vibrations (VIVs) generated by wind.
Michele Tonan +3 more
wiley +1 more source
Geometric duality between effective field theories. Part I. Scattering amplitudes
Journal of High Energy PhysicsWe propose a novel type of duality that connects a sequence of well-known theories with even-multiplicity scalar amplitudes: it relates the Yang-Mills theory coupled to a specific scalar matter sector to the nonlinear sigma model on a symmetric coset ...
Tomáš Brauner +3 more
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Fully Quantum Perturbative Description of Correlated Stokes–Anti‐Stokes Scattering
physica status solidi (b), EarlyView.The generation of Stokes‐anti‐Stokes (SaS) photon pairs with quantum correlations, like entanglement, has been developing recently, but a proper theoretical ground was missing. A fully quantum perturbative theory is provided to describe the four‐wave mixing contribution to the correlated SaS scattering, in which both matter and electromagnetic field ...
Raul Corrêa +3 more
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Fuzzy postprocessing of seasonal climate forecasts for semiarid river basins
Quarterly Journal of the Royal Meteorological Society, EarlyView.Meteorological forecasts from AI‐based fuzzy rule‐based system (FRB) are compared to linear scaling (LS) and quantile mapping (QM). Seasonal forecasts from the Copernicus Climate Change Service (C3S) are considered. Results show that the highest skill is achieved for the FRB approach.
Dariana Isamel Avila‐Velasquez +2 more
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(Semi-)Nonrelativisitic Limit of the Nonlinear Dirac Equations
Journal of Mathematical Study, 2020 Yongyong Cai Yan Wang sci
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One dimensional Dirac equation with quadratic nonlinearities
Discrete & Continuous Dynamical Systems - A, 2005 The author considers the \(1\)-dimensional Cauchy problem of Dirac equations with quadratic nonlinear term: \[ (i\gamma^0 \partial_t +i \gamma^1 \partial_x) u+mu=F(u), \quad u(0,x)=\phi(x), \leqno (\text{NLD})_m \] where \(m\) is a mass and nonnegative, \(u(t,x)\), \(t,x \in \mathbb{R}\), is an unknown function with values in \(\mathbb{C}^2\), \(\gamma^
openaire +2 more sources