Results 91 to 100 of about 183,010 (330)

Solvability and completeness of solutions of parabolic differential-operator equations [PDF]

Математичні Студії, 2011
We consider an abstract Cauchy problem for parabolic differential-operator equations in Hilbert spaces. Initial boundary value problems for parabolic equations are reduced to the Cauchy problem for a system of parabolic differential equations.
M. M. Mamedov
doaj  

Theoretical Model of Transient Regression of Thermoplastic Materials During Flame Spread: Vaporization; Permanent Mass Loss; Surface Shape

Fire and Materials, EarlyView.
ABSTRACT This article examines a transient, one‐dimensional model of surface regression during opposed flow flame spread over finite thickness, non‐charring thermoplastics. Gas to solid conductive transfer from the flame drives sample heating. The solid degrades into volatile fuel molecules in two stages: (1) the pre‐vaporization heat‐up stage and (2 ...
Indrek S. Wichman, Linwei Mou, Sarzina Hossain, Fletcher J. Miller, Sandra L. Olson   +4 more
wiley   +1 more source

Advection‐Pressure Splitting Schemes Applied to a Non‐Conservative 1D Blood Flow Model With Transport for Arteries and Veins

International Journal for Numerical Methods in Fluids, EarlyView.
We introduce new efficient and accurate first order finite volume‐type numerical schemes, for the non‐conservative one‐dimensional blood flow equations with transport, taking into account different velocity profiles. The framework is the flux‐vector splitting approach of Toro and Vázquez‐Cendón (2012), that splits the system in two subsystems of PDEs ...
Alessandra Spilimbergo, Eleuterio F. Toro, Annunziato Siviglia, Lucas O. Müller   +3 more
wiley   +1 more source

EVSS‐Based Simulation Techniques for the Viscoelastic Fluids With Pure Polymer Melts Using Three‐Field Approach

International Journal for Numerical Methods in Fluids, EarlyView.
This paper presents a finite element method for simulating highly viscoelastic flows of pure polymer melts using the Elastic Viscous Stress Splitting formulation. The method avoids higher‐order derivatives in the weak formulation by reformulating the convective term in the constitutive equation.
R. Ahmad, P. Zajac, S. Turek
wiley   +1 more source

Polymer Stress‐Tensor Calculation for a Laminar Submerged Viscoelastic Jet Flow Using Different Constitutive Models

International Journal for Numerical Methods in Fluids, EarlyView.
This study presents an efficient method to compute polymer stress‐tensor components in viscoelastic laminar jet flows using models such as Oldroyd‐B, Giesekus, PTT, and FENE. By assuming a stationary and parallel flow, the methodology significantly reduces computational cost.
Rafael de Lima Sterza, Leandro Franco de Souza, Marcio Teixeira de Mendonca, Analice Costacurta Brandi   +3 more
wiley   +1 more source

Antiperiodic Problems for Nonautonomous Parabolic Evolution Equations

Abstract and Applied Analysis, 2014
This work focuses on the antiperiodic problem of nonautonomous semilinear parabolic evolution equation in the form u′(t)=A(t)u(t)+f(t,u(t)), t∈R, u(t+T)=-u(t), t∈R, where (At)t∈R (possibly unbounded), depending on time, is a family of closed and densely ...
R. N. Wang, Y. Zhou
doaj   +1 more source

Ch‐Ch‐Ch‐Ch‐Changes: The Impact of Supply Base Growth, Contraction, and Turnover on Firm Innovation

Journal of Operations Management, EarlyView.
ABSTRACT Modern supply chains are experiencing more disturbances due to regulatory shifts, rising sustainability standards, emerging or declining markets, and disruption to critical inputs. Some firms react by strengthening existing supplier partnerships to resist changes, while others reconfigure relationships with suppliers to embrace changes ...
Jordan M. Barker, Ellie C. Falcone, Yang Sophie Yang‐Sun, Tingting Yan   +3 more
wiley   +1 more source

On some parabolic problems with measure sources

Moroccan Journal of Pure and Applied Analysis, 2019
One of the recent advances in the investigation of nonlinear parabolic equations with a measure as forcing term is a paper by F. Petitta in which it has been introduced the notion of renormalized solutions to the initial parabolic problem in divergence ...
Abdellaoui Mohammed
doaj   +1 more source

Perturbations of time optimal control problems for a class of abstract parabolic systems [PDF]

, 2015
In this work we study the asymptotic behavior of the solutions of a class of abstract parabolic time optimal control problems when the generators converge, in an appropriate sense, to a given strictly negative operator.
Tucsnak, Marius, Wang, Gengsheng, Wu, Chi-Ting   +2 more
core   +3 more sources

Mini‐Review: Angular Scattering and Directional Effects in Tip‐Enhanced Raman Spectroscopy

Journal of Raman Spectroscopy, EarlyView.
Mini‐review: Angular scattering and directional effects in tip‐enhanced Raman spectroscopy. Felix Schneider, David Baschnagel, Tim Parker, Yang Zhao, Alfred J. Meixner*, Dai Zhang*. This mini‐review examines angular scattering and directional effects in tip‐enhanced Raman spectroscopy (TERS), emphasizing their importance for quantitative interpretation
Felix Schneider, David Baschnagel, Tim Parker, Yang Zhao, Alfred J. Meixner, Dai Zhang   +5 more
wiley   +1 more source