Results 71 to 80 of about 307,407 (286)
Mixed problems for degenerate abstract parabolic equations and applications [PDF]
arXiv, 2017 Degenerate abstract parabolic equations with variable coefficients are studied. Here the boundary conditions are nonlocal. The maximal regularity properties of solutions for elliptic and parabolic problems and Strichartz type estimates in mixed $L_{p}$ spaces are obtained.
arxiv
Mie‐Resonant Metasurfaces with Controlled Silicon Oxidation in Electron‐Beam Deposition
Advanced Materials Interfaces, EarlyView.Electron‐beam deposition is optimized to prevent silicon oxidation by controlling chamber pressure and deposition rate, yielding refractive index values comparable to other methods. This tunability enables precise control of optical properties. Mie‐resonant metasurfaces exhibit strong, tunable collective resonances, allowing the fabrication of silicon ...
Neal Raney, Viktoriia E. Babicheva
wiley +1 more source
Direct and inverse problems for linear relations
Bruno Pini Mathematical Analysis Seminar, 2013 Direct and inverse problem related to linear differential inclusions in Banach spaces are studied.The abstract results are applied to degenerate partial dierential equations of parabolic type.
Angelo Favini
doaj
Microfluidic Spinning of PEDOT:PSS Microfibers for Nerve Guidance Conduits
Advanced Materials Technologies, EarlyView.This publication explores the fabrication of microfluidically spun PEDOT:PSS microfibers for conductive nerve guidance conduits (NGCs). It details the spinning process, fiber characterization, and biocompatibility assessment. The study highlights the fibers' mechanical and electrical properties, non‐cytotoxicity, and potential for nerve regeneration or
Matthias Geiger +8 more
wiley +1 more source
Null controllability of one dimensional degenerate parabolic equations with first order terms [PDF]
arXiv, 2019 In this paper we present a null controllability result for a degenerate semilinear parabolic equation with first order terms. The main result is obtained after the proof of a new Carleman inequality for a degenerate linear parabolic equation with first order terms.
arxiv
Stopping a Multilayered Co‐Axial Flow in a 3D Printed Microchannel with Cascaded Nozzles
Advanced Materials Technologies, EarlyView.A microfluidic device with cascaded nozzles is 3D‐printed using two‐photon polymerization. Its microchannel, featuring integrated nozzles, sculpts multilayered co‐axial flows, enabling independent regulation of four co‐flowing streams to achieve variable layer thicknesses.
Helen Werner +7 more
wiley +1 more source
Regularity of random attractors for stochastic semilinear degenerate parabolic equations
Electronic Journal of Differential Equations, 2012 We consider the stochastic semilinear degenerate parabolic equation $$ du+[- operatorname{div}(sigma(x)abla u) + f(u) + lambda u]dt = gdt+ sum_{j=1}^{m}h_j{domega_j} $$ in a bounded domain $mathcal{O}subset mathbb {R}^N$, with the nonlinearity ...
Cung The Anh +2 more
doaj
Advanced Optical Materials, EarlyView.Mechanisms by which excitons and charge carriers can funnel and recombine in 2D multi‐layered MAPbBr3 Ruddlesden‐Popper perovskite nanosheets are missing. This femtosecond transient absorption spectroscopy study creates a comprehensive understanding of how directed transport, exciton‐exciton annihilation, and Auger recombination occur in colloidal ...
André Niebur +4 more
wiley +1 more source
Existence of solutions for a degenerate seawater intrusion problem
Electronic Journal of Differential Equations, 2005 We study a seawater intrusion problem in a confined aquifer. This process can be formulated as a coupled system of partial differential equations which includes an elliptic and a degenerate parabolic equation.
Mohamed El Alaoui Talibi +1 more
doaj
Asymptotic Behavior of a Class of Degenerate Parabolic Equations
Abstract and Applied Analysis, 2012 We investigate the asymptotic behavior of solutions of a class of degenerate parabolic equations in a bounded domain () with a polynomial growth nonlinearity of arbitrary order.
Hongtao Li, Shan Ma
doaj +1 more source