scholarly journals On the theoretical foundation of overset grid methods for hyperbolic problems: Well-posedness and conservation

2022 ◽  
Vol 448 ◽  
pp. 110732
Author(s):  
David A. Kopriva ◽  
Jan Nordström ◽  
Gregor J. Gassner
Keyword(s):  
Theoretical Foundation ◽  
Well Posedness ◽  
Hyperbolic Problems ◽  
Overset Grid

scholarly journals Telegraph systems on networks and port-Hamiltonians. I. Boundary conditions and well-posedness

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Jacek Banasiak ◽  
Adam Błoch
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Transmission Conditions ◽  
Well Posedness ◽  
Hyperbolic Problems ◽  
Riemann Invariants ◽  
Theoretic Proof ◽  
Hyperbolic Differential Equations

<p style='text-indent:20px;'>The paper is concerned with a system of linear hyperbolic differential equations on a network coupled through general transmission conditions of Kirchhoff's-type at the nodes. We discuss the reduction of such a problem to a system of 1-dimensional hyperbolic problems for the associated Riemann invariants and provide a semigroup-theoretic proof of its well-posedness. A number of examples showing the relation of our results with recent research is also provided.</p>

Corporate Governance and Performance of Organizations

2018 ◽  
Vol 9 (5) ◽  
pp. 439-446
Author(s):  
Hamid Ait lemqeddem ◽  
◽  
Mounya Tomas ◽  
Keyword(s):  
Corporate Governance ◽  
Agency Theory ◽  
Theoretical Foundation ◽  
Quantitative Approach ◽  
Governance Practices ◽  
Deductive Method ◽  
Private And Public ◽  
Is Theory ◽  
And Performance ◽  
Do So

There is renewed interest in the need to focus on corporate governance in an environment where it is a performance imperative for all small and large organizations, private and public, beginner or established.The purpose of this study is to demonstrate the place of corporate governance practices in organizations to ensure that the board, officers, and directors take action to protect shareholder interests and all stakeholders. It is important to focus on the effect of these practices on improving performance and competitiveness. To do so, we opted for the hypothetico-deductive method with a quantitative approach. Our theoretical foundation is theory is agency theory.

Cauchy Problem for Equations with Fractional Differentiation Bessel Operator in the Space of Temperate Distributions

2003 ◽  
Vol 8 (1) ◽  
pp. 61-75
Author(s):  
V. Litovchenko
Keyword(s):  
Functional Analysis ◽  
Cauchy Problem ◽  
Fundamental Solution ◽  
Initial Function ◽  
Well Posedness ◽  
Fractional Differentiation ◽  
Basic Tool ◽  
Conjugate Space ◽  
Analysis Technique ◽  
The Cauchy Problem

The well-posedness of the Cauchy problem, mentioned in title, is studied. The main result means that the solution of this problem is usual C∞ - function on the space argument, if the initial function is a real functional on the conjugate space to the space, containing the fundamental solution of the corresponding problem. The basic tool for the proof is the functional analysis technique.

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