[HTML][HTML] Attractors for fractional differential problems of transition to turbulent flows

EFD Goufo, JJ Nieto - Journal of Computational and Applied Mathematics, 2018 - Elsevier
The complexity of fluid flows remains an intriguing problem and many scientists are still
struggling to gain new and reliable insight into the dynamics of fluids. Transition from …

Sensitivity analysis for HJB equations with an application to coupled backward-forward systems

V Kolokoltsov, W Yang - arXiv preprint arXiv:1303.6234, 2013 - arxiv.org
In this paper, we analyse Lipschitz continuous dependence of the solution to Hamilton-
Jacobi-Bellman equations on a functional parameter. This sensitivity analysis not only has …

[图书][B] Incompressible bipolar and non-Newtonian viscous fluid flow

H Bellout, F Bloom - 2014 - Springer
In 1849 GG Stokes published a classical paper [Sto] in which he modeled the response of a
viscous incompressible fluid by a constitutive equation that has, ever since, been known as …

Constrained trajectory planning and actuator design for electromagnetic heating systems

S Rhein, K Graichen - Control Engineering Practice, 2018 - Elsevier
A trajectory planning approach for electromagnetic heating systems is presented capable to
optimize the electrical excitation and spatial configuration of the corresponding actuator (eg …

Reduced Order Model Study of Burgers' Equation using Proper Orthogonal Decomposition

CH Jarvis - 2012 - vtechworks.lib.vt.edu
In this thesis we conduct a numerical study of the 1D viscous Burgers' equation and several
Reduced Order Models (ROMs) over a range of parameter values. This study is motivated by …

Mathematical 3D modelling and sensitivity analysis of multipolar radiofrequency ablation in the spine

J Matschek, E Bullinger, F von Haeseler, M Skalej… - Mathematical …, 2017 - Elsevier
Radiofrequency ablation is a valuable tool in the treatment of many diseases, especially
cancer. However, controlled heating up to apoptosis of the desired target tissue in complex …

[PDF][PDF] Estimation of uncertainty in the hydro-morphodynamic characteristics of the Meghna Estuary, Bangladesh

S Sarwar - 2021 - core.ac.uk
The coastal zone of Bangladesh is a part of the Ganga–Brahmaputra–Meghna basin, and is
home to about 38.5 million people. This coastal community is particularly vulnerable to …

Transition to turbulence, small disturbances, and sensitivity analysis I: A motivating problem

JR Singler - Journal of mathematical analysis and applications, 2008 - Elsevier
For over 100 years, researchers have attempted to predict transition to turbulence in fluid
flows by analyzing the spectrum of the linearized Navier–Stokes equations. However, for …

Mathematical modelling and sensitivity analysis of multipolar radiofrequency ablation in the spine

J Matschek, A Himmel, F von Haeseler, E Bullinger… - IFAC-PapersOnLine, 2015 - Elsevier
Mathematical models of the radiofrequency ablation enable to plan, monitor and control
interventions allowing to predict and improve their outcome. A system of coupled partial …

Global attractor for a low order ODE model problem for transition to turbulence

JR Singler - Mathematical Methods in the Applied Sciences, 2017 - Wiley Online Library
Many researchers have studied simple low order ODE model problems for fluid flows in
order to gain new insight into the dynamics of complex fluid flows. We investigate the …