Well-Posedness of MultiCriteria Network Equilibrium Problem
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
doaj +1 more source
A Comparison of Coupling Strategies for 1D–3D Simulations of Coronary Hemodynamics
Various 1D–3D coupling strategies combining a one‐dimensional (1D) pulse wave propagation model with three‐dimensional (3D) computational fluid dynamics (CFD) were evaluated for numerous types of complex synthetic coronary lesion geometries. Steady‐state simulations driven by mean flow showed no discrepancy with transient simulations in predicting ...
P. L. J. Hilhorst +6 more
wiley +1 more source
Quasi‐invariance of Gaussian measures for the 3d$3d$ energy critical nonlinear Schrödinger equation
Abstract We consider the 3d$3d$ energy critical nonlinear Schrödinger equation with data distributed according to the Gaussian measure with covariance operator (1−Δ)−s$(1-\Delta)^{-s}$, where Δ$\Delta$ is the Laplace operator and s$s$ is sufficiently large. We prove that the flow sends full measure sets to full measure sets. We also discuss some simple
Chenmin Sun, Nikolay Tzvetkov
wiley +1 more source
Well-posed Vector Optimization Problems and Vector Variational Inequalities [PDF]
In this paper we introduce notions of well-posedness for a vector optimization problem and for a vector variational inequality of differential type, we study their basic properties and we establish the links among them.
Rocca Matteo
core
On the Behavior of Two C1 Finite Elements Versus Anisotropic Diffusion
Bi‐cubic Hemite‐Bézier and reduced cubic Hsieh‐Clough‐Tocher finite elements, of class C1, are compared for the solution of a highly anisotropic diffusion equation. They are tested numerically for various ratios of the diffusion coefficients on different meshes, even aligned with the anisotropy.
Blaise Faugeras +3 more
wiley +1 more source
Well-Posedness of the Iterative Boltzmann Inversion [PDF]
The iterative Boltzmann inversion is an iterative scheme to determine an effective pair potential for an ensemble of identical particles in thermal equilibrium from the corresponding radial distribution function. Although the method is reported to work reasonably well in practice, it still lacks a rigorous convergence analysis. In this paper we provide
openaire +2 more sources
Well-posedness and scalarization in vector optimization [PDF]
In this paper we study several existing notions of well-posedness for vector optimization problems. We distinguish them into two classes and we establish the hierarchical structure of their relationships.
Miglierina Enrico +2 more
core
Well‐posedness and asymptotic stability to a laminated beam in thermoelasticity of type III
This paper is concerned with the well‐posedness and asymptotic behaviour of solutions to a laminated beam in thermoelasticity of type III. We first obtain the well‐posedness of the system by using semigroup method.
Wenjun Liu, Yu Luan, Yadong Liu, Gang Li
semanticscholar +1 more source
Levitin-Polyak Well-Posedness for Equilibrium Problems with Functional Constraints
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
Reference Tracking and Disturbance Rejection for Nonlinear Systems Using LPV Control
ABSTRACT The Linear Parameter‐Varying (LPV) framework has been introduced with the intention to provide stability and performance guarantees for analysis and controller synthesis for Nonlinear (NL) systems through convex methods. By extending results of the Linear Time‐Invariant framework, mainly based on quadratic stability and performance using ...
Patrick J. W. Koelewijn +3 more
wiley +1 more source

