No Existence and Smoothness of Solution of the Navier-Stokes Equation. [PDF]
Dou HS.
europepmc +1 more source
Numerical Analysis of Higher Order Discontinuous Galerkin Finite Element Methods [PDF]
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
core
A multiscale CFD framework reveals that two‐phase effects fundamentally alter hazardous gas dispersion in urban street canyons. Droplet evaporation, vortex‐driven transport, and ventilation jointly control hazard evolution, with wind speed dominating dispersion while temperature plays a secondary role.
Jialin Li +3 more
wiley +1 more source
Stability estimate for strong solutions of the Navier-Stokes system and its applications
We obtain a `stability estimate' for strong solutions of the Navier-Stokes system, which is an $L^alpha$-version, $1< alpha
Tadashi Kawanago
doaj
Radial Basis Function Finite Difference Method Based on Oseen Iteration for Solving Two-Dimensional Navier-Stokes Equations. [PDF]
Mu L, Feng X.
europepmc +1 more source
Efficient upwind algorithms for solution of the Euler and Navier-stokes equations [PDF]
An efficient three-dimensionasl tructured solver for the Euler and Navier-Stokese quations is developed based on a finite volume upwind algorithm using Roe fluxes. Multigrid and optimal smoothing multi-stage time stepping accelerate convergence.
McNeil, C. Y.
core
Attention‐Based Spatial–Temporal Model for the Entire Indoor Space Temperature Estimation
This study proposes a novel attention‐based spatial–temporal model for indoor temperature estimation, which integrates positional encoding and an attention mechanism with a fully connected neural network. By jointly capturing temporal dynamics and spatial correlations, the model enables high‐resolution estimation of temperature fields across the entire
Goro Terumichi +3 more
wiley +1 more source
Error estimates and physics informed augmentation of neural networks for thermally coupled incompressible Navier Stokes equations. [PDF]
Goraya S, Sobh N, Masud A.
europepmc +1 more source
Recent progress on the development of hydrogel‐based microneedles for transdermal drug delivery
This study provides a comprehensive and up‐to‐date analysis of recent progress in HMN technology, covering fundamental transdermal delivery mechanisms and design principles, biomaterials used in HMN fabrication, drug loading and release strategies, and emerging therapeutic applications.
Mohammad Muhtasim Ittisaf +5 more
wiley +1 more source

