The Cauchy problem for a fourth order parabolic equation by difference methods [PDF]
Thesis (Ph.D.)--Boston UniversityThis paper deals with the solution of parabolic partial differential equations by difference methods. It is first concerned with obtaining certain basic results for the nth order equation... This enables one to exhibit a
Ross, Shepley Littlefield
core +1 more source
Dual formulation of second order target problems
This paper provides a new formulation of second order stochastic target problems introduced in [SIAM J. Control Optim. 48 (2009) 2344-2365] by modifying the reference probability so as to allow for different scales.
Soner, H. Mete +2 more
core +1 more source
Fluorinated graphene has opened new opportunities for real‐world applications; however, its working and thermal stability are key issues for practical use. This study successfully demonstrates the stability of a fluorinated graphene‐based photodetector, achieved through a graphene, fluorinated graphene heterostructure (Gr/F‐Gr HS).
Mukesh Kumar Thakur +11 more
wiley +1 more source
Existence of solutions for a degenerate seawater intrusion problem
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
Rigorous Derivation of the Degenerate Parabolic-Elliptic Keller-Segel System from a Moderately Interacting Stochastic Particle System. Part I Partial Differential Equation [PDF]
Li Chen, Veniamin Gvozdik, Yue Li
openalex +1 more source
Rotary 4D Printing of Programmable Metamaterials on Sustainable 4D Mandrel
The paper introduces open, rotary 4D printing of programmable tubular metamaterials. It presents an open, non‐planar path‐to‐G‐code pipeline and shape‐changing rotary mandrel that enable support‐free fabrication and multi‐stimuli actuation. Experiments and FEA validate the mentioned features and stress redistribution.
Hesam Soleimanzadeh +4 more
wiley +1 more source
The mathematics of suspensions: Kac walks and asymptotic analyticity
Of concern are suspension flows. These combine directed and random motions and are typically modelled by parabolic partial differential equations.
Eugene C. Eckstein +2 more
doaj
Cellulose‐Nanofiber‐Based Layered Sub‐Terahertz Absorbing Sheets for B5G/6G Applications
We report a sub‐terahertz absorber made of biodegradable cellulose‐nanofiber (CNF), potentially useful for B5G/6G devices to achieve electromagnetic compatibility in an eco‐friendly way. The absorber is 120 µm thick and consists of two carbon‐nanotube‐dispersed CNF layers and one pure CNF layer.
Kosaku Kato +11 more
wiley +1 more source
A Two-Dimensional Nonlocal Fractional Parabolic Initial Boundary Value Problem
In this paper, we investigate a two-dimensional singular fractional-order parabolic partial differential equation in the Caputo sense. The partial differential equation is supplemented with Dirichlet and weighted integral boundary conditions.
Said Mesloub +2 more
doaj +1 more source
Group Delay Dispersion Measurements on Mid‐Infrared Supermirrors
Group delay dispersion of novel semiconductor‐based optics is measured in the mid‐infrared spectral range (2.5 to 4.8 μm$\rm \umu{\rm m}$). Comparisons are made between simulations, measurements conducted with a home‐built white light interferometer, and measurements performed with a commercially available FTIR.
Ulrich Galander +3 more
wiley +1 more source

