Results 111 to 120 of about 17,298,525 (250)

Impact of Uncertain Parameters on Navier–Stokes Equations With Heat Transfer via Polynomial Chaos Expansion

International Journal for Numerical Methods in Fluids, Volume 98, Issue 5, Page 557-577, May 2026.
This study investigates the impact of uncertain parameters on Navier–Stokes equations coupled with heat transfer using the Intrusive Polynomial Chaos Method (IPCM). Sensitivity equations are formulated for key input parameters, such as viscosity and thermal diffusivity, and solved numerically using the Finite Element‐Volume method.
N. Nouaime, B. Després, M. A. Puscas, C. Fiorini   +3 more
wiley   +1 more source

Well-posedness of the microwave heating problem

Discrete and Continuous Models and Applied Computational Science
A number of initial boundary-value problems of classical mathematical physics is generally represented in the linear operator equation and its well-posedness and causality in a Hilbert space setting was established. If a problem has a unique solution and
Baljinnyam Tsangia
doaj   +1 more source

On well-posedness for the Benjamin-Ono equation

, 2005
We prove existence of solutions for the Benjamin-Ono equation with data in $H^s(\R)$, $s>0$. Thanks to conservation laws, this yields global solutions for $H^\frac 1 2(\R)$ data, which is the natural ``finite energy'' class.
Burq, N., Planchon, F.
core   +1 more source

Global weak solutions for the compressible Poisson–Nernst–Planck–Navier–Stokes system

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract We consider the compressible Poisson–Nernst–Planck–Navier–Stokes (PNPNS) system of equations, governing the transport of charged particles under the influence of the self‐consistent electrostatic potential, in a three‐dimensional bounded domain.
Daniel Marroquin, Dehua Wang
wiley   +1 more source

Levitin-Polyak Well-Posedness for Equilibrium Problems with Functional Constraints

Journal of Inequalities and Applications, 2008
We generalize the notions of Levitin-Polyak well-posedness to an equilibrium problem with both abstract and functional constraints. We introduce several types of (generalized) Levitin-Polyak well-posedness.
Teo KokLay, Long XianJun, Huang Nan-Jing
doaj  

Improved Dust Microphysical Retrieval From LiDAR by Introducing a Priori Constraints From In Situ and Laboratory Measurements

Journal of Geophysical Research: Atmospheres, Volume 131, Issue 7, 16 April 2026.
Abstract The accuracy of height‐resolved dust microphysical retrieval from LiDARs has been greatly improved by the recently developed BOREAL (Basic algOrithm for REtrieval of Aerosol with LiDAR) algorithm which describes non‐spherical dust particles with the Irregular‐Hexahedral (IH) model and inverts 3β (backscattering at 355, 532, and 1,064 nm) + 2α (
Yuyang Chang, Qiaoyun Hu, Philippe Goloub, Thierry Podvin   +3 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

Well-posedness of minimal dRGT massive gravity

Journal of High Energy Physics
Ghost-free dRGT massive gravity is a subtle theory, even at the classical level. Its viability depends on Vainshtein screening, which is an intrinsically non-linear phenomenon, and thus understanding the full non-linear dynamics of the theory is crucial.
Jan Kożuszek, Toby Wiseman
doaj   +1 more source

Well-posedness and stability analysis of an epidemic model with infection age and spatial diffusion. [PDF]

J Math Biol, 2023
Walker C.
europepmc   +1 more source

Well-Posedness for a Class of Strongly Mixed Variational-Hemivariational Inequalities with Perturbations

Journal of Applied Mathematics, 2012
The concept of well-posedness for a minimization problem is extended to develop the concept of well-posedness for a class of strongly mixed variational-hemivariational inequalities with perturbations which includes as a special case the class of ...
Lu-Chuan Ceng, Ngai-Ching Wong, Jen-Chih Yao   +2 more
doaj   +1 more source