𝔖 Bobbio Scriptorium
✦   LIBER   ✦

About the concept of measure-valued solutions to distributed parameter systems

✍ Scribed by Tomáš Roubíček; Karl-Heinz Hoffmann

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
837 KB
Volume
18
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

The measure‐valued (mv) solutions are commonly defined in the literature simply by putting Young measures into the respective partial differential equations. Here a few examples of mv‐solutions to evolution problems (conservation laws, fluid dynamics and a so‐called backward‐forward heat problem) are re‐investigated to show that such definitions are not satisfactorily selective, i.e. they admit (sometimes surprisingly) many mv‐solutions apparently without any physical sense. Then an attempt for a selective definition in the case of the backward‐forward heat problem is made, resulting to a certain evolution variational inequality.

📜 SIMILAR VOLUMES

Sufficient conditions for uniqueness of
Sufficient conditions for uniqueness of the steady state solutions in distributed parameter systems
✍ Dan Luss 📂 Article 📅 1968 🏛 Elsevier Science 🌐 English ⚖ 478 KB

new techmque of obtammg sufficient condltlons for umqueness of the steady state solutlon m dlstrlbuted parameter systems IS presented The method IS apphed for the cases of an adlabatlc or isothermal reactlon m a porous catalyst and for an adlabatlc tubular reactor with axial dlffuslon The condltlons

Worst-case analysis of distributed param
Worst-case analysis of distributed parameter systems with application to the 2D reaction–diffusion equation
✍ Masako Kishida; Richard D. Braatz 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 497 KB

## Abstract It is well known that optimal control trajectories can be highly sensitive to perturbations in the model parameters. Computationally efficient numerical algorithms are presented for the worst‐case analysis of the effects of parametric uncertainties on boundary control problems for finit

Necessary and sufficient conditions for
Necessary and sufficient conditions for the optimal control of distributed parameter systems subject to integral constraints
✍ Ibrahim S. Sadek 📂 Article 📅 1988 🏛 Elsevier Science 🌐 English ⚖ 909 KB

A class of optimal control problems for a damped distributed parameter system governed by a system of partial d@erential equations with side constraints (equality and/or inequality) is considered. Optimal control problems in structural mechanics are often formulated in this framework. A maximum prin

FEEDBACK CONTROL IN DISTRIBUTED PARAMETE
FEEDBACK CONTROL IN DISTRIBUTED PARAMETER GYROSCOPIC SYSTEMS: A SOLUTION OF THE PARTIAL EIGENVALUE ASSIGNMENT PROBLEM
✍ B.N. DATTA; D.R. Sarkissian 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 200 KB

This paper presents a novel solution to the partial eigenvalue assignment problem of an undamped gyroscopic distributed parameter system. The partial eigenvalue assignment problem is the problem of reassigning by feedback a few undesired eigenvalues of the openloop operator pencil while leaving the

The initial-value problem for measure-va
The initial-value problem for measure-valued solutions of a canonical 2 × 2 system with linearly degenerate fields
✍ E. Weinan; Robert V. Kohn 📂 Article 📅 1991 🏛 John Wiley and Sons 🌐 English ⚖ 778 KB

## Abstract We discuss Serre's restricted formulation of the notion of a measure‐valued solution, for a 2 × 2 system whose characteristic fields are both linearly degenerate. We prove existence, uniqueness, and regularity results for this formulation. As an application, we prove the convergence of

Value of latency measurements to the sma
Value of latency measurements to the small palm muscles compared to other conduction parameters in the carpal tunnel syndrome
✍ W. Trojaborg; R.P. Grewal; L.H. Weimer; P. Sheriff 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 249 KB 👁 2 views

A variety of electrophysiological studies have been reported to increase the diagnostic sensitivity in the carpal tunnel syndrome (CTS), ',' including latency measurements to the second lumbrical (2~)3,4,12,18 and to the second dorsal interosseous (2DI). We attempted to determine the value of the in