Results 71 to 80 of about 61,934 (233)
Ghost effect from Boltzmann theory
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 558-675, March 2026.Abstract Taking place naturally in a gas subject to a given wall temperature distribution, the “ghost effect” exhibits a rare kinetic effect beyond the prediction of classical fluid theory and Fourier law in such a classical problem in physics. As the Knudsen number ε$\varepsilon$ goes to zero, the finite variation of temperature in the bulk is ...
Raffaele Esposito +3 more
wiley +1 more source
Well-posedness and ill-posedness of the fifth-order modified KdV equation
Electronic Journal of Differential Equations, 2008 We consider the initial value problem of the fifth-order modified KdV equation on the Sobolev spaces. $$displaylines{ partial_t u - partial_x^5u + c_1partial_x^3(u^3) + c_2upartial_x upartial_x^2 u + c_3uupartial_x^3 u =0cr u(x,0)= u_0(x ...
Soonsik Kwon
doaj
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
doaj +1 more source
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
doaj +1 more source
Dynamic Optimal Transport with Optimal Star‐Shaped Graphs
PAMM, Volume 26, Issue 1, March 2026.ABSTRACT We study an optimal transport problem in a compact convex set Ω⊂Rd$\Omega \subset \mathbb {R}^d$ where bulk transport is coupled to dynamic optimal transport on a metric graph G=(V,E,l)$ \mathsf {G}= (\mathsf {V},\mathsf {E},l)$ which is embedded in Ω$\Omega$. We prove the existence of solutions for fixed graphs.
Marcello Carioni +2 more
wiley +1 more source
Local well-posedness in Lovelock gravity [PDF]
Classical and Quantum Gravity, 2014 It has long been known that Lovelock gravity, being of Cauchy-Kowalevskaya type, admits a well defined initial value problem for analytic data. However, this does not address the physically important issues of continuous dependence of the solution on the data and the domain of dependence property.
openaire +2 more sources
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
Local well posedness for a linear coagulation equation [PDF]
, 2009 In this paper we derive some a priori estimates for a class of linear coagulation equations with particle fluxes towards large size particles. The derived estimates allow us to prove local well posedness for the considered equations.
Escobedo, M., Velazquez, J. J. L.
core
Accelerated Diffusion Basis Spectrum Imaging With Tensor Computations
Human Brain Mapping, Volume 47, Issue 2, February 1, 2026.We introduce a new framework for accelerated processing of diffusion‐weighted imaging (DWI) data using a machine learning approach to optimize parameter estimation. We demonstrate that this new method, called DBSIpy, significantly improves computational speed and robustness to Rician noise compared to the standard DBSI method, with the improvements ...
Kainen L. Utt +3 more
wiley +1 more source
Abstract Boundary Delay Systems and Application to Network Flow
Mathematical Methods in the Applied Sciences, Volume 49, Issue 1, Page 119-129, 15 January 2026.ABSTRACT This paper investigates the well‐posedness and positivity of solutions to a class of delayed transport equations on a network. The material flow is delayed at the vertices and along the edges. The problem is reformulated as an abstract boundary delay equation, and well‐posedness is proved by using the Staffans–Weiss theory.
András Bátkai +2 more
wiley +1 more source