Detail publikace

Homogenization of heat equation with hysteresis

FRANCŮ, J.

Originální název

Homogenization of heat equation with hysteresis

Typ

článek v časopise - ostatní, Jost

Jazyk

angličtina

Originální abstrakt

The contribution delas with heat equaition in the form (c u+W[u])_t=div(a.grad u)=f, where the functional operator W[u] is Prandtl-Ishlinskii hysteresis operator of play type characterized by a distribution function eta. The spatially dependent initial boundary value problem is studied. Proof of existence and uniqueness of the solution is omitted since the proof is a slightly modified proof by Brokate-Sprekels. The homogenization problem for this equation si studied. For eps->0, a sequence of problems of the above type with spatially eps-periodic coefficients c^eps, eta,^eps, a^eps si considered. The coefficients c^star,eta^star and a^star in the homogenized problem are identified and convergence of the corresponding solutions u^eps to u^star is proved.

Klíčová slova v angličtině

Prandtl-Ishlinskii operaor, Homogenization, Heat equation

Autoři

FRANCŮ, J.

Rok RIV

2004

Vydáno

1. 1. 2003

ISSN

0378-4754

Periodikum

Mathematics and Computers in Simulation

Ročník

61

Číslo

3-5

Stát

Nizozemsko

Strany od

591

Strany do

597

Strany počet

7

BibTex

@article{BUT42039,
  author="Jan {Franců}",
  title="Homogenization of heat equation with hysteresis",
  journal="Mathematics and Computers in Simulation",
  year="2003",
  volume="61",
  number="3-5",
  pages="7",
  issn="0378-4754"
}