Results 51 to 60 of about 52,371 (280)
Food Science &Nutrition, Volume 13, Issue 7, July 2025.The paper reviews advanced magnetic resonance (MR) technologies—NMR, MRI, ESR, and MRS—for food analysis, quality, and safety. MR techniques enable non‐invasive detection of adulteration, compositional profiling, and monitoring of food processing and storage.
Zina T. Alkanan +5 more
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Existence of a local strong solution to the beam–polymeric fluid interaction system
Mathematische Nachrichten, Volume 298, Issue 7, Page 2327-2379, July 2025.Abstract We construct a unique local strong solution to the finitely extensible nonlinear elastic (FENE) dumbbell model of Warner‐type for an incompressible polymer fluid (described by the Navier–Stokes–Fokker–Planck equations) interacting with a flexible elastic shell.
Dominic Breit, Prince Romeo Mensah
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Boundary Value Problems, 2022 The paper aims to consider a class of p-Laplacian elliptic systems with a double Sobolev critical exponent. We obtain the existence result of the above problem under the Neumann boundary for some suitable range of the parameters in the systems.
Bingyu Kou, Tianqing An
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A non-variational system involving the critical Sobolev exponent. The radial case [PDF]
Journal d'Analyse Mathematique, 2016 In this paper we consider the non-variational system0.1{−Δui=Σj=1kaijujN+2N−2inRN,ui>0inRN,ui∈D1,2(RN),\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage ...
F. Gladiali, M. Grossi, C. Troestler
semanticscholar +1 more source
Adjoint‐Based Online Learning of Two‐Layer Quasi‐Geostrophic Baroclinic Turbulence
Journal of Advances in Modeling Earth Systems, Volume 17, Issue 7, July 2025.Abstract For reasons of computational constraint, most global ocean circulation models used for Earth System Modeling still rely on parameterizations of sub‐grid processes, and limitations in these parameterizations affect the modeled ocean circulation and impact on predictive skill.
F. E. Yan +4 more
wiley +1 more source
Multiple solutions for the $p(x)-$laplace operator with critical growth [PDF]
, 2009 The aim of this paper is to extend previous results regarding the multiplicity of solutions for quasilinear elliptic problems with critical growth to the variable exponent case.
Silva, Analía
core
The Choquard Equation with Weighted Terms and Sobolev-Hardy Exponent
Journal of Function Spaces, 2018 We study a nonlinear Choquard equation with weighted terms and critical Sobolev-Hardy exponent. We apply variational methods and Lusternik-Schnirelmann category to prove the multiple positive solutions for this problem.
Yanbin Sang, Xiaorong Luo, Yongqing Wang
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Boundary Value Problems, 2019 In this paper, a biharmonic equation is investigated, which involves multiple Rellich-type potentials and a critical Sobolev exponent. By using variational methods and analytical techniques, the existence and multiplicity of nontrivial solutions to the ...
Jinguo Zhang, Tsing-San Hsu
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On elliptic systems with Sobolev critical exponent
Discrete and Continuous Dynamical Systems, 2015 We study the following elliptic system with Sobolev critical exponent \begin{equation*} \left\{ \begin{array}{ll} -\Delta u=|u|^{2^*-2}u + \frac{\lambda\alpha}{2^*}|u|^{\alpha-2}|v|^{\beta}u,\, &x\in \mathbb{R}^N, \\ -\Delta v=|v|^{2^*-2}v + \frac{\lambda\beta}{2^*}|u|^{\alpha}|v|^{\beta-2}v,\, &x\in \mathbb{R}^N, \end{array} \right. \end{
openaire +2 more sources
Geochemistry, Geophysics, Geosystems, Volume 26, Issue 6, June 2025.Abstract Simulating present‐day solid Earth deformation and volatile cycling requires integrating diverse geophysical data sets and advanced numerical techniques to model complex multiphysics processes at high resolutions. Subduction zone modeling is particularly challenging due to the large geographic extent, localized deformation zones, and the ...
D. Douglas +5 more
wiley +1 more source