Publication detail

Homogenization of heat equation with hysteresis

FRANCŮ, J.

English title

Homogenization of heat equation with hysteresis

Type

Peer-reviewed article not indexed in WoS or Scopus

Language

en

Original abstract

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.

Released

2003-01-01

ISSN

0378-4754

Journal

MATHEMATICS AND COMPUTERS IN SIMULATION

Volume

61

Number

3-5

Pages from–to

591–

Pages count

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"
}