Consistent models for electrical networks with distributed parameters

Corneliu A. Marinov; Gheorghe Moroşanu

Mathematica Bohemica (1992)

  • Volume: 117, Issue: 2, page 113-122
  • ISSN: 0862-7959

Abstract

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A system of one-dimensional linear parabolic equations coupled by boundary conditions which include additional state variables, is considered. This system describes an electric circuit with distributed parameter lines and lumped capacitors all connected through a resistive multiport. By using the monotony in a space of the form L 2 ( 0 , T ; H 1 ) , one proves the existence and uniqueness of a variational solution, if reasonable engineering hypotheses are fulfilled.

How to cite

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Marinov, Corneliu A., and Moroşanu, Gheorghe. "Consistent models for electrical networks with distributed parameters." Mathematica Bohemica 117.2 (1992): 113-122. <http://eudml.org/doc/29058>.

@article{Marinov1992,
abstract = {A system of one-dimensional linear parabolic equations coupled by boundary conditions which include additional state variables, is considered. This system describes an electric circuit with distributed parameter lines and lumped capacitors all connected through a resistive multiport. By using the monotony in a space of the form $L^2(0,T;H^1)$, one proves the existence and uniqueness of a variational solution, if reasonable engineering hypotheses are fulfilled.},
author = {Marinov, Corneliu A., Moroşanu, Gheorghe},
journal = {Mathematica Bohemica},
keywords = {weak solution; system of one-dimensional linear parabolic equations; additional state variables; lumped capacitors; resistive multiport; existence and uniqueness of variational solution; initial-boundary value problem; monotone operators; parabolic equations; variational solution; weak solution; system of one-dimensional linear parabolic equations; additional state variables; lumped capacitors; resistive multiport; existence and uniqueness of variational solution; initial-boundary value problem; monotone operators},
language = {eng},
number = {2},
pages = {113-122},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Consistent models for electrical networks with distributed parameters},
url = {http://eudml.org/doc/29058},
volume = {117},
year = {1992},
}

TY - JOUR
AU - Marinov, Corneliu A.
AU - Moroşanu, Gheorghe
TI - Consistent models for electrical networks with distributed parameters
JO - Mathematica Bohemica
PY - 1992
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 117
IS - 2
SP - 113
EP - 122
AB - A system of one-dimensional linear parabolic equations coupled by boundary conditions which include additional state variables, is considered. This system describes an electric circuit with distributed parameter lines and lumped capacitors all connected through a resistive multiport. By using the monotony in a space of the form $L^2(0,T;H^1)$, one proves the existence and uniqueness of a variational solution, if reasonable engineering hypotheses are fulfilled.
LA - eng
KW - weak solution; system of one-dimensional linear parabolic equations; additional state variables; lumped capacitors; resistive multiport; existence and uniqueness of variational solution; initial-boundary value problem; monotone operators; parabolic equations; variational solution; weak solution; system of one-dimensional linear parabolic equations; additional state variables; lumped capacitors; resistive multiport; existence and uniqueness of variational solution; initial-boundary value problem; monotone operators
UR - http://eudml.org/doc/29058
ER -

References

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