Results 101 to 110 of about 1,301,854 (405)
Modular forms, Schwarzian conditions, and symmetries of differential equations in physics
We give examples of infinite order rational transformations that leave linear differential equations covariant. These examples are non-trivial yet simple enough illustrations of exact representations of the renormalization group.
Abdelaziz, Y., Maillard, J. -M.
core +1 more source
Differential Equations and Algebraic Relations
AbstractWe consider a linear differential equationLy=0 of ordernwith coefficients inC(z) whose differential Galois groupGis supposed to be reductive and unimodular. We give an algorithm for the construction of a system of generators of the ideal of algebraic relations, with coefficients inC(z), among the entries of a fundamental matrix of solutions ...
openaire +2 more sources
Semigroups Associated with Differential-Algebraic Equations [PDF]
We consider differential-algebraic equations in infinite dimensional state spaces and study, under which conditions we can associate a $C_{0}$-semigroup with such equations. We determine the right space of initial values and characterise the existence of a $C_{0}$-semigroup in the case of operator pencils with polynomially bounded resolvents.
openaire +3 more sources
A Lyapunov approach to control of microgrids with a network-preserved differential-algebraic model
We provide sufficient conditions for asymptotic stability and optimal resource allocation for a network-preserved microgrid model with active and reactive power loads.
C. D. Persis+3 more
semanticscholar +1 more source
Abstract Integrated dynamic scheduling (IDS) and economic nonlinear model predictive control (eNMPC) enable economic operation of chemical plants subject to volatile energy prices. Herein, we combine the two concepts into an integrated two‐layer scheme. Therein, IDS performs “long‐horizon” scheduling on a day‐ahead (DA) market and eNMPC “short‐horizon”
Jan C. Schulze+3 more
wiley +1 more source
Abstract Coastal wetlands are globally important stores of carbon (C). However, accelerated sea‐level rise (SLR), increased saltwater intrusion, and modified freshwater discharge can contribute to the collapse of peat marshes, converting coastal peatlands into open water.
Khandker S. Ishtiaq+8 more
wiley +1 more source
Nonlinear elliptic problems with the method of finite volumes
We present a finite volume discretization of the nonlinear elliptic problems. The discretization results in a nonlinear algebraic system of equations.
Sanjay Kumar Khattri
doaj +1 more source
This paper focuses on the small-signal stability analysis of systems modelled as differential-algebraic equations and with inclusions of delays in both differential equations and algebraic constraints.
F. Milano, I. Dassios
semanticscholar +1 more source
Magnetic particle capture in high‐gradient magnetic separation: A theoretical and experimental study
Abstract High‐gradient magnetic separation (HGMS) has traditionally been used in mineral processing, with many effective models developed for typically employed rod‐wire shaped matrices. However, its potential in bioprocessing, especially for high‐value products, introduces new demands on plant and matrix design. This study presents a multi‐scale model
Marko Tesanovic+3 more
wiley +1 more source
A Root Parametrized Differential Equation for the Special Linear Group [PDF]
Let $C \langle \boldsymbol{t} \rangle$ be the differential field generated by $l$ differential indeterminates $\boldsymbol{t}=(t_1, \dots, t_l)$ over an algebraically closed field $C$ of characteristic zero. In this article we present an explicit linear parameter differential equation over $C \langle \boldsymbol{t} \rangle$ with differential Galois ...
arxiv