Asymptotics for large time of solutions to nonlinear system associated with the penetration of a magnetic field into a substance

Temur A. Jangveladze; Zurab V. Kiguradze

Applications of Mathematics (2010)

  • Volume: 55, Issue: 6, page 471-493
  • ISSN: 0862-7940

Abstract

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The nonlinear integro-differential system associated with the penetration of a magnetic field into a substance is considered. The asymptotic behavior as t → ∞ of solutions for two initial-boundary value problems are studied. The problem with non-zero conditions on one side of the lateral boundary is discussed. The problem with homogeneous boundary conditions is studied too. The rates of convergence are given. Results presented show the difference between stabilization characters of solutions of these two cases.

How to cite

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Jangveladze, Temur A., and Kiguradze, Zurab V.. "Asymptotics for large time of solutions to nonlinear system associated with the penetration of a magnetic field into a substance." Applications of Mathematics 55.6 (2010): 471-493. <http://eudml.org/doc/116486>.

@article{Jangveladze2010,
abstract = {The nonlinear integro-differential system associated with the penetration of a magnetic field into a substance is considered. The asymptotic behavior as $t\rightarrow \infty $ of solutions for two initial-boundary value problems are studied. The problem with non-zero conditions on one side of the lateral boundary is discussed. The problem with homogeneous boundary conditions is studied too. The rates of convergence are given. Results presented show the difference between stabilization characters of solutions of these two cases.},
author = {Jangveladze, Temur A., Kiguradze, Zurab V.},
journal = {Applications of Mathematics},
keywords = {system of nonlinear integro-differential equations; magnetic field; asymptotics for large time; system of nonlinear integro-differential equations; magnetic field; asymptotic},
language = {eng},
number = {6},
pages = {471-493},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Asymptotics for large time of solutions to nonlinear system associated with the penetration of a magnetic field into a substance},
url = {http://eudml.org/doc/116486},
volume = {55},
year = {2010},
}

TY - JOUR
AU - Jangveladze, Temur A.
AU - Kiguradze, Zurab V.
TI - Asymptotics for large time of solutions to nonlinear system associated with the penetration of a magnetic field into a substance
JO - Applications of Mathematics
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 55
IS - 6
SP - 471
EP - 493
AB - The nonlinear integro-differential system associated with the penetration of a magnetic field into a substance is considered. The asymptotic behavior as $t\rightarrow \infty $ of solutions for two initial-boundary value problems are studied. The problem with non-zero conditions on one side of the lateral boundary is discussed. The problem with homogeneous boundary conditions is studied too. The rates of convergence are given. Results presented show the difference between stabilization characters of solutions of these two cases.
LA - eng
KW - system of nonlinear integro-differential equations; magnetic field; asymptotics for large time; system of nonlinear integro-differential equations; magnetic field; asymptotic
UR - http://eudml.org/doc/116486
ER -

References

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