Results 121 to 130 of about 827 (202)
Duality for Evolutionary Equations With Applications to Null Controllability
ABSTRACT We study evolutionary equations in exponentially weighted L2$$ {\mathrm{L}}^2 $$‐spaces as introduced by Picard in 2009. First, for a given evolutionary equation, we explicitly describe the ν$$ \nu $$‐adjoint system, which turns out to describe a system backwards in time. We prove well‐posedness for the ν$$ \nu $$‐adjoint system. We then apply
Andreas Buchinger, Christian Seifert
wiley +1 more source
The Clinical, Philosophical, Evolutionary and Mathematical Machinery of Consciousness: An Analytic Dissection of the Field Theories and a Consilience of Ideas. [PDF]
Kesserwani H.
europepmc +1 more source
Inequalities Similar to Certain Extensions of Hilbert's Inequality
Let \(p\in (1,\infty)\) and \(q=p/(p-1)\). Suppose that \(f\) and \(g\) are real and absolutely continuous functions on the interval \([0,x)\) and \([0,y)\), respectively, such that \(f(0)=g(0)=0\). Then \[ \begin{aligned} \int^x_0 \int^y_0 &\frac{|f(x)g(t)|}{qs^{p-1}+pt^{q-1}} ds dt\\ &\leq K(p,q,x,y)\Big(\int^x_0 (x-s)|f'(s)|^p ds\Big)^{1/p} \Big ...
openaire +1 more source
Mesh and Model Adaptivity for Multiscale Elastoplastic Models With Prandtl‐Reuss Type Material Laws
ABSTRACT Homogenization methods simulate heterogeneous materials like composites effectively, but high computational demands can offset their benefits. This work balances accuracy and efficiency by assessing model and discretization errors of the finite element method (FEM) through an adaptive numerical scheme.
Arnold Tchomgue Simeu +2 more
wiley +1 more source
ABSTRACT This paper presents a robust control synthesis and analysis framework for nonlinear systems with uncertain initial conditions. First, a deep learning‐based lifting approach is proposed to approximate nonlinear dynamical systems with linear parameter‐varying (LPV) state‐space models in higher‐dimensional spaces while simultaneously ...
Sourav Sinha, Mazen Farhood
wiley +1 more source
Higher-Order Linearization and Regularity in Nonlinear Homogenization. [PDF]
Armstrong S, Ferguson SJ, Kuusi T.
europepmc +1 more source
Seminars MA 598A: Abstract Algebra [PDF]
Description: This course will cover fundamentals on groups, rings, and fields (excluding galois theory). It is intended to prepare students who don't have enough background in algebra for the faster-paced Ph.D.
Time Tth
core
ABSTRACT The article examines a boundary‐value problem in a bounded domain Ωε$$ {\Omega}_{\varepsilon } $$ consisting of perforated and imperforate regions, with Neumann conditions prescribed at the boundaries of the perforations. Assuming the porous medium has symmetric, periodic structure with a small period ε$$ \varepsilon $$, we analyze the limit ...
Taras Melnyk
wiley +1 more source
On Two Extensions of Hilbert’s Integral Inequality
. The norm of a Hilbert’s type linear operator T : L 2 (0,∞) → L 2 (0,∞) is given. By introducing some parameters, we give the norms of two extensions of Hilbert’s integral operator.
Z. Jokar
doaj
Ghost effect from Boltzmann theory
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

