Results 81 to 90 of about 1,214 (284)
Dynamics of optical solitons of the pure cubic derivative NLSE with multiplicative white noise using analytical schemes [PDF]
AIP AdvancesIn this article, we investigate the analytical and computational dynamics of optical solitons modulated by the pure cubic derivative nonlinear Schrödinger equation under multiplicative white noise.
Khaled A. Gepreel +3 more
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Explicit decay rate for a degenerate hyperbolic-parabolic coupled system
, 2020 This paper studies the stability of a 1-dim system which comprises a wave equation and a degenerate heat equation in two connected bounded intervals. The coupling between these two different components occurs at the interface with certain transmission ...
Zhong-Jie Han, Gengsheng Wang, Jing Wang
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Directional Flow of Confined Polaritons in CrSBr
Advanced Materials, EarlyView.CrSBr, a layered magnetic semiconductor, naturally channels self‐hybridized excitonpolaritons into highly directional flow. Its intrinsic optical anisotropy, high refractive index, and strong lightmatter coupling enable long‐range guided modes along the a‐axis, with propagation lengths set by their excitonphoton admixture.
Pratap Chandra Adak +10 more
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A boundary value problem for the fourth-order degenerate equation of the mixed type
Қарағанды университетінің хабаршысы. Математика сериясыMany problems in mechanics, physics, and geophysics lead to solving partial differential equations that are not included in the known classes of elliptic, parabolic or hyperbolic equations.
J.A. Otarova
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Nonlocal degenerate parabolic-hyperbolic equations on bounded domains
Annales de l'Institut Henri Poincaré C, Analyse non linéaireWe study well-posedness of degenerate mixed-type parabolic-hyperbolic equations \partial_{t}u+\operatorname{div}(f(u))=\mathcal{L}[b(u)] on bounded domains with general Dirichlet boundary/exterior conditions. The nonlocal diffusion operator
Nathaël Alibaud +3 more
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Tailoring Phonon‐Driven Responses in α‐MoO3 through Isotopic Enrichment
Advanced Materials, EarlyView.ABSTRACT The implementation of polaritonic materials into nanoscale devices requires selective tuning of parameters to realize desired spectral or thermal responses. One robust material, α‐MoO3, an orthorhombic crystal boasting three distinct phonon dispersions, provides three polaritonic dispersions of hyperbolic phonon polaritons (HPhPs) across the ...
Thiago S. Arnaud +31 more
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Energy Decay for a Degenerate Hyperbolic Equation with a Dissipative Term
Publications of the Research Institute for Mathematical Sciences, 1999 The goal of the paper is to study decay properties of the total energy of solutions to hyperbolic equations. In opposite to other papers which prefer to study wave equations with mass and dissipation, the author is interested in the Cauchy problem \[ u_{tt}- a(t)\Delta u+ 2b(t) u_t+ m^2u= 0\quad\text{in }\mathbb{R}^{n+1}_+, \] \[ u(0,x)= u_0(x),\quad ...
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On difference methods for the Darboux problem for an equation of mixed hyperbolic-parabolic type
, 1991 We derive an a priori estimate for a finite difference scheme for a second order hyperbolic equation with variable coefficients. The equation is allowed to degenerate to a parabolic equation on the x-axis.
Pardis, Cyrus J
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Super‐Resolution Ultrasound Based Cell Tracking With Polymeric Nanobubbles
Advanced Materials, EarlyView.This study presents a super‐resolution ultrasound platform for tracking cells in vivo. Biocompatible polymeric nanobubbles are used as highly echogenic intracellular labels. Following the injection of cells and microbubbles, ultrasound localization microscopy (ULM) can dynamically match the microvascular architecture and individual cell trajectories ...
Junlin Chen +19 more
wiley +1 more source
Қарағанды университетінің хабаршысы. Математика сериясыMathematical modeling of various real-world processes frequently leads to boundary value problems (BVPs) for third-order partial differential equations of mixed and composite types, which have no classical analogues in mathematical physics. Foundational
N.K. Ochilova, D.B. Eshmamatova
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