Results 21 to 30 of about 2,016,598 (232)

Finite element solutions to boundary value problems [PDF]

open access: yes, 1976
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis consists of two distinct parts which deal with two-point boundary value problems and parabolic problems, respectively.
Moore, P
core   +7 more sources

Doubly nonlinear parabolic equations

open access: yes, 2020
The public defense on 15th May 2020 at 12:00 will be organized via remote technology. Link: https://aalto.zoom.us/j/66291986278 Zoom Quick Guide: https://www.aalto.fi/en/services/zoom-quick-guideThis thesis is devoted to the study of the existence and ...
Vestberg, Matias
core   +1 more source

Degenerate parabolic equations appearing in atmospheric dispersion of pollutants

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2016
Linear and nonlinear degenerate abstract parabolic equations with variable coefficients are studied. Here the equation and boundary conditions are degenerated on all boundary and contain some parameters.
Veli Shakhmurov, Aida Sahmurova
doaj   +1 more source

Positivity of solutions to the Cauchy problem for linear and semilinear biharmonic heat equations

open access: yesAdvances in Nonlinear Analysis, 2020
This paper is concerned with the positivity of solutions to the Cauchy problem for linear and nonlinear parabolic equations with the biharmonic operator as fourth order elliptic principal part. Generally, Cauchy problems for parabolic equations of fourth
Grunau Hans-Christoph   +2 more
doaj   +1 more source

Optimal Control Problems of a Class of Nonlinear Degenerate Parabolic Equations

open access: yesMathematics
The optimal control problems of degenerate parabolic equations have many applications in economics, physics, climatology, and so on. Motivated by the applications, we consider the optimal control problems of a class of nonlinear degenerate parabolic ...
Yang Na   +3 more
doaj   +1 more source

Nonlinear anisotropic parabolic equations in Lm

open access: yesArab Journal of Mathematical Sciences, 2014
In this paper, we give a result of regularity of weak solutions for a class of nonlinear anisotropic parabolic equations with lower-order term when the right-hand side is an Lm function, with m being ”small”.
Fares Mokhtari
doaj   +1 more source

Carleman inequality for a class of super strong degenerate parabolic operators and applications

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2023
In this paper, we present a new Carleman estimate for the adjoint equations associated to a class of super strong degenerate parabolic linear problems. Our approach considers a standard geometric imposition on the control domain, which can not be removed
Bruno Sérgio Araújo   +2 more
doaj   +1 more source

When Poor Exciton Dissociation Limits Photocurrents in Organic Solar Cells: Why Low Offset Non‐Fullerene Acceptor Blends Can't Be Efficient

open access: yesAdvanced Materials, EarlyView.
The energetic offset between the donor and the acceptor components in organic photoactive layers is central to the tradeoff between photovoltage and photocurrent losses. This Perspective covers the most important issues surrounding this topic in non‐fullerene acceptor blends, from the difficulty of accurately determining state energies and driving ...
Dieter Neher, Manasi Pranav
wiley   +1 more source

Analysis of complex nonlinear reaction-diffusion equations [PDF]

open access: yes, 2008
A mathematical analysis has been carried out for some nonlinear reaction- diffusion equations on open bounded convex domains Ω C R(^d)(d < 3) with Robin boundary conditions- Existence, uniqueness and continuous dependence on initial data of weak and ...
Al-Ofl, Abdalaziz Saleem
core  

Elastomeric 3D‐Printed Microenvironments Enable Nanonewton Force Measurements in Healthy and Diseased Human Pluripotent Stem Cell‐Derived Neuroepithelial Cells

open access: yesAdvanced Materials, EarlyView.
We present elastomeric three‐dimensional (3D) microstructures fabricated via two‐photon polymerization (2PP) and post‐processed through wet etching, for quantifying nanonewton (nN)‐scale forces applied by healthy and diseased neural cells. The mechanically characterized free‐standing beam architectures enable measurement of traction forces of ...
Pieter F. J. van Altena   +7 more
wiley   +1 more source

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