Results 151 to 160 of about 63,459 (307)
Navier-Stokes equations: theory and numerical analysis
, 1977 This monograph is based on research undertaken by the authors during the last ten years. The main part of the work deals with homogenization problems in elasticity as well as some mathematical problems related to composite and perforated elastic ...
Temam, Roger., Temam, Roger
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This study examines the combined impact of different thermal conductivity and viscosity on unsteady non‐Newtonian Casson fluid flow of incompressible, electrical conductivity in a porous vertical channel with convective cooling walls, uniform magnetic field, and constant pressure gradient.
A. S. Adeyemo +2 more
wiley +1 more source
Stochastic Navier-Stokes Equations on a Thin Spherical Domain. [PDF]
Appl Math Optim, 2021 Brzeźniak Z, Dhariwal G, Le Gia QT.
europepmc +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen +3 more
wiley +1 more source
Active training of physics-informed neural networks to aggregate and interpolate parametric solutions to the Navier-Stokes equations. [PDF]
J Comput Phys, 2021 Arthurs CJ, King AP.
europepmc +1 more source
Remarks on the Maximal Regularity for Parabolic Boundary Value Problems With Inhomogeneous Data
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Inspired by Ogawa‐Shimizu and Chen‐Liang‐Tsai on the second and first order derivative estimates of solutions of the heat equation in the upper half space with boundary data in homogeneous Besov spaces, we extend the estimates to any order of derivatives, including fractional derivatives.
Hui Chen, Su Liang, Tai‐Peng Tsai
wiley +1 more source
Invariant Measures for the Stochastic One-Dimensional Compressible Navier-Stokes Equations. [PDF]
Appl Math Optim, 2021 Coti Zelati M, Glatt-Holtz N, Trivisa K.
europepmc +1 more source
Numerical Analysis of Higher Order Discontinuous Galerkin Finite Element Methods
, 2008 After the introduction in Section 1 this lecture starts off with recalling well-known results from the numerical analysis of the continuous finite element methods.
Hartmann, Ralf
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5D Flow MRI Reveals Respiration‐Driven Changes in Blood Flow Energetics in Congenital Heart Disease
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose Hemodynamic monitoring is essential for patients with right‐sided congenital heart disease (CHD). Respiration may have an increased impact on pulmonary flow in these patients that cannot be assessed by standard tools including 4D flow MRI. This study uses 5D flow MRI to assess respiratory‐cycle variations in flow energetics in patients
Thara Nallamothu +7 more
wiley +1 more source
Fourier Shell Analysis: k‐Space‐Based Metrics for Assessing Super‐Resolution in 4D Flow MRI
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose To support the emerging field of super‐resolution (SR) in 4D flow MRI by proposing Fourier shell analysis to disentangle resolution enhancement from denoising effects during evaluation. Methods A thoracic aortic 4D flow MRI dataset was synthesized with various degrees of stenosis, providing ground truth flow fields generated using ...
Luuk Jacobs +2 more
wiley +1 more source