Results 131 to 140 of about 183,211 (204)

A priori bounds for the generalised parabolic Anderson model

Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1315-1394, May 2026.
Abstract We show a priori bounds for solutions to (∂t−Δ)u=σ(u)ξ$(\partial _t - \Delta) u = \sigma (u) \xi$ in finite volume in the framework of Hairer's Regularity Structures [Invent Math 198:269–504, 2014]. We assume σ∈Cb2(R)$\sigma \in C_b^2 (\mathbb {R})$ and that ξ$\xi$ is of negative Hölder regularity of order −1−κ$- 1 - \kappa$ where κ<κ¯$\kappa <
Ajay Chandra, Guilherme de Lima Feltes, Hendrik Weber   +2 more
wiley   +1 more source

Efficient Energy‐Stable Discontinuous Galerkin Scheme for the Non‐Isothermal Cahn–Hilliard–Navier–Stokes Two‐Phase Fluid Flow System

International Journal for Numerical Methods in Engineering, Volume 127, Issue 7, 15 April 2026.
ABSTRACT In this article, we propose a novel numerical framework for the non‐isothermal Cahn–Hilliard–Navier–Stokes two‐phase flow system, which couples the incompressible Navier–Stokes equations, the Cahn–Hilliard phase‐field equation, and the heat transport equation to capture temperature‐dependent two‐phase flow dynamics.
Guang‐An Zou, Meiting Wang, Kejia Pan, Yin Yang, Xiaofeng Yang   +4 more
wiley   +1 more source

Commuting Challenges for Big Cities: How to Tackle Particulate Matter Human Exposure?

CLEAN – Soil, Air, Water, Volume 54, Issue 4, April 2026.
ABSTRACT Air quality in large cities is a global public health issue that has received increasing attention in recent decades. The dynamics of atmospheric pollutant concentrations form a complex system influenced by meteorology, topography, emission sources, and fleet composition, interacting in a nonlinear pattern. We monitored particulate matter (PM)
Marianna Gonçalves Dias Chaves, Camila Ribeiro Schneider, Emílio Graciliano Ferreira Mercuri, Steffen Manfred Noe   +3 more
wiley   +1 more source

A KAM Approach to the Inviscid Limit for the 2D Navier-Stokes Equations. [PDF]

Ann Henri Poincare
Franzoi L, Montalto R.
europepmc   +1 more source

Verification of a Fluid–Structure Interaction Model for Aortic Stenosis Through Comparison With In Vitro Experiments

International Journal for Numerical Methods in Biomedical Engineering, Volume 42, Issue 4, April 2026.
A patient‐specific Fluid–structure Interaction (FSI) model of aortic stenosis was verified against in vitro experiments using a mock‐loop circulatory system with patient‐specific calcified and non‐calcified valve models under varying flow conditions. The in vitro experiments were replicated in the FSI model.
Sabine Verstraeten, Roel Meiburg, Koen Janssens, Martijn Hoeijmakers, Nils Karajan, Marcel Rutten, Marcel van't Veer, Pim Tonino, Frans van de Vosse, Wouter Huberts   +9 more
wiley   +1 more source

Global well-posedness and interior regularity of 2D Navier-Stokes equations with stochastic boundary conditions. [PDF]

Math Ann
Agresti A, Luongo E.
europepmc   +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, Volume 98, Issue 4, Page 398-432, April 2026.
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

Regularization by Noise of an Averaged Version of the Navier-Stokes Equations. [PDF]

J Dyn Differ Equ
Lange T.
europepmc   +1 more source

Error estimates of finite element methods for fractional stochastic Navier-Stokes equations. [PDF]

J Inequal Appl, 2018
Li X, Yang X.
europepmc   +1 more source

Heat stress relief by tidally driven cold‐water bores on a coral reef atoll

Limnology and Oceanography, Volume 71, Issue 4, April 2026.
Abstract Understanding how physical transport mechanisms influence coral reef temperature dynamics is crucial for effective management. Typically, sea surface temperature (SST) is used to estimate coral heat stress, yet subsurface physical processes can significantly influence reef temperature dynamics and are imperative to consider in predictive ...
Kelly Boden‐Hawes, Nicole L. Jones, Matthew D. Rayson, James P. Gilmour, Taryn Foster   +4 more
wiley   +1 more source