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Dynamics and stability of thin liquid films
The dynamics and stability of thin liquid films have fascinated scientists over many decades:
the observations of regular wave patterns in film flows down a windowpane or along …
the observations of regular wave patterns in film flows down a windowpane or along …
Multiphase monolith reactors: chemical reaction engineering of segmented flow in microchannels
The use of segmented flow in capillaries, also known as Taylor flow, for reaction engineering
purposes has soared in recent years. On the one hand, Taylor flow has been used in …
purposes has soared in recent years. On the one hand, Taylor flow has been used in …
Respiratory fluid mechanics and transport processes
▪ Abstract The field of respiratory flow and transport has experienced significant research
activity over the past several years. Important contributions to the knowledge base come …
activity over the past several years. Important contributions to the knowledge base come …
AMDiS: adaptive multidimensional simulations
We describe how modular software design and well proven object oriented design patterns
can help to implement a flexible software package for the efficient solution of partial …
can help to implement a flexible software package for the efficient solution of partial …
Conforming and nonconforming VEMs for the fourth-order reaction–subdiffusion equation: a unified framework
We establish a unified framework to study the conforming and nonconforming virtual
element methods (VEMs) for a class of time dependent fourth-order reaction–subdiffusion …
element methods (VEMs) for a class of time dependent fourth-order reaction–subdiffusion …
A physics-informed neural network framework for PDEs on 3D surfaces: Time independent problems
Partial differential equations (PDEs) on surfaces are ubiquitous in all the nature science.
Many traditional mathematical methods has been developed to solve surfaces PDEs …
Many traditional mathematical methods has been developed to solve surfaces PDEs …
A fast linearized virtual element method on graded meshes for nonlinear time-fractional diffusion equations
In this paper, we develop a fast linearized virtual element method (VEM) for the
approximation of the nonlinear time-fractional diffusion equations on polygonal meshes. The …
approximation of the nonlinear time-fractional diffusion equations on polygonal meshes. The …
Fourth order partial differential equations on general geometries
We extend a recently introduced method for numerically solving partial differential equations
on implicit surfaces [M. Bertalmío, LT Cheng, S. Osher, G. Sapiro. Variational problems and …
on implicit surfaces [M. Bertalmío, LT Cheng, S. Osher, G. Sapiro. Variational problems and …
Determination of rheology and surface tension of airway surface liquid: a review of clinical relevance and measurement techniques
Z Chen, M Zhong, Y Luo, L Deng, Z Hu, Y Song - Respiratory Research, 2019 - Springer
By airway surface liquid, we mean a thin fluid continuum consisting of the airway lining layer
and the alveolar lining layer, which not only serves as a protective barrier against foreign …
and the alveolar lining layer, which not only serves as a protective barrier against foreign …
PDE's on surfaces---a diffuse interface approach
We introduce a new approach to deal with the numerical solution of partial differential
equations on surfaces. Thereby we reformulate the problem on a larger domain in one …
equations on surfaces. Thereby we reformulate the problem on a larger domain in one …