Results 61 to 70 of about 4,317 (261)
The weak solutions of a nonlinear parabolic equation from two-phase problem
Journal of Inequalities and Applications, 2021 A nonlinear parabolic equation from a two-phase problem is considered in this paper. The existence of weak solutions is proved by the standard parabolically regularized method.
Zhisheng Huang
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Biharmonic Equations Under Dirichlet Boundary Conditions with Supercritical Growth
Advanced Nonlinear Studies, 2016 Abstract We prove nonexistence and uniqueness results of solutions for biharmonic equations under the Dirichlet boundary conditions on a smooth bounded domain. We carry on the work in [10] where the Navier boundary conditions were considered, we define the h-starlikeness of Ω with respect to the Dirichlet boundary conditions and a ...
Ben Omrane, Hanen +2 more
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Corporate Social Responsibility and Environmental Management, EarlyView.ABSTRACT Recent literature addressing ESG and risk has increased by 70% since mid‐2022, reflecting a growing interest in sustainable finance. Guided by the PRISMA flow diagram, this paper employs a hybrid systematic review methodology, combining bibliometric analysis with content analysis, to provide a comprehensive overview of the evolution of ESG and
Fahad Asmi, Alain Neher, Alfred Wong
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Another proof of the regularity of harmonic maps from a Riemannian manifold to the unit sphere
Electronic Journal of Differential Equations, 2014 We shall consider harmonic maps from $n$-dimensional compact connected Riemannian manifold with boundary to the unit sphere under the Dirichlet boundary condition. We claim that if the Dirichlet data is smooth and so-called "small", all minimizers of
Junichi Aramaki
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Extinction and Nonextinction for the Fast Diffusion Equation
Abstract and Applied Analysis, 2013 This paper deals with the extinction and nonextinction properties of the fast diffusion equation of homogeneous Dirichlet boundary condition in a bounded domain of RN with N>2.
Chunlai Mu, Li Yan, Yi-bin Xiao
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Reflective Pathways: Integrating Empathy Into the STEM Student Experiences
Future in Educational Research, EarlyView.ABSTRACT The growing demand for a globally competent STEM workforce showcases the importance of embedding empathy into undergraduate education. As a core dimension of global competence, empathy enables individuals to engage diverse perspectives and navigate collaborative challenges.
Aparajita Jaiswal +3 more
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International Journal for Numerical Methods in Fluids, EarlyView.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 +3 more
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International Journal for Numerical Methods in Fluids, EarlyView.We introduce an efficient open‐source numerical framework for the automated search for the placements of injection and production wells in hot fracture‐controlled reservoirs that sustainably optimize geothermal energy production. We model the reservoirs as discrete fracture networks in 3D. The fluid flow and heat transport in the reservoirs are modeled
Ondřej Pártl, Ernesto Meneses Rioseco
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Coupled Clustering in Hierarchical Matrices for the Oseen Problem
International Journal for Numerical Methods in Fluids, EarlyView.Fluid flow problems can be modelled by the Navier‐Stokes or, after linearization, by the Oseen equations. Their discretization results in linear systems in saddle point form which are typically very large and need to be solved iteratively. We propose a novel block structure for hierarchical matrices which is then used to build preconditioners for the ...
Jonas Grams, Sabine Le Borne
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Existence and non-existence results for a nonlinear heat equation
Electronic Journal of Differential Equations, 2007 In this study, we consider the nonlinear heat equation $$displaylines{ u_{t}(x,t) = Delta u(x,t) + u(x,t)^p quad hbox{in } Omega imes (0,T),cr Bu(x,t) = 0 quad hbox{on } partialOmega imes (0,T),cr u(x,0) = u_0(x) quad hbox{in } Omega,}$$ with ...
Canan Celik
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