Results 81 to 90 of about 14,824,467 (223)
Integrating the Probe and Singular Sources Methods: II. the Stokes System
Mathematical Methods in the Applied Sciences, Volume 48, Issue 10, Page 10406-10426, 15 July 2025.ABSTRACT In this paper, an integrated theory of the probe and singular sources methods for an inverse obstacle problem governed by the Stokes system in a bounded domain is developed. The main results consist of the probe method for the Stokes system, the singular sources method by using the notion of the probe method, and the completely integrated ...
Masaru Ikehata
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On the well-posedness of differential quasi-variational-hemivariational inequalities
Open Mathematics, 2020 The goal of this paper is to discuss the well-posedness and the generalized well-posedness of a new kind of differential quasi-variational-hemivariational inequality (DQHVI) in Hilbert spaces.
Cen Jinxia +3 more
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On the Solution of Boundary Value Problems Set in Domains With Moving Boundaries
Mathematical Methods in the Applied Sciences, Volume 48, Issue 10, Page 10427-10441, 15 July 2025.ABSTRACT We construct solutions for time‐dependent boundary value problems set in moving domains with Dirichlet, Neumann, and mixed boundary conditions. When the boundaries are time deformations of an initial boundary along a vector field, we can refer the boundary problem to a fixed domain at the cost of increasing the complexity of the coefficients ...
Ana Carpio, Gema Duro
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 10, Page 10550-10570, 15 July 2025.ABSTRACT Bacteriophages, or phages (viruses of bacteria), play significant roles in shaping the diversity of bacterial communities within the human gut. A phage‐infected bacterial cell can either immediately undergo lysis (virulent/lytic infection) or enter a stable state within the host as a prophage (lysogeny) until a trigger event, called prophage ...
Hyacinthe M. Ndongmo Teytsa +3 more
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Generalized Well-Posedness for Symmetric Vector Quasi-Equilibrium Problems
Journal of Applied Mathematics, 2015 We introduce and study well-posedness in connection with the symmetric vector quasi-equilibrium problem, which unifies its Hadamard and Levitin-Polyak well-posedness.
Wei-bing Zhang +2 more
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The robust Orlicz risk with an application to the green photovoltaic power generation
Asian Journal of Control, Volume 27, Issue 4, Page 1655-1667, July 2025.Abstract We propose a novel recursive utility for controlling stochastic processes under risk and uncertainty. Our formulation uses a robustified Orlicz risk that can evaluate risk and uncertainty simultaneously. We focus on the control problem of a photovoltaic power generation system that supplies excess electricity for the secondary purpose of ...
Hidekazu Yoshioka, Motoh Tsujimura
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Inverse Problem Regularization for 3D Multi‐Species Tumor Growth Models
International Journal for Numerical Methods in Biomedical Engineering, Volume 41, Issue 7, July 2025.We present a multi‐species partial differential equation (PDE) model for tumor growth and an algorithm for calibrating the model from magnetic resonance imaging (MRI) scans. The model is designed for glioblastoma multiforme (GBM) a fast‐growing type of brain cancer. ABSTRACT We present a multi‐species partial differential equation (PDE) model for tumor
Ali Ghafouri, George Biros
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Well-Posedness of MultiCriteria Network Equilibrium Problem
Abstract and Applied Analysis, 2014 New notions of ϵ-equilibrium flow and ξk0-ϵ-equilibrium flow of multicriteria network equilibrium problem are introduced; an equivalent relation between vector ϵ-equilibrium pattern flow and ξk0-ϵ-equilibrium flow is established. Then, the well-posedness
W. Y. Zhang
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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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Well-posedness of the equations of a non-homogeneous perfect fluid [PDF]
, 1976 Jerrold E. Marsden
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