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Water flow through unsaturated porous media with hysteresis

Result description

The paper is devoted to the investigation of a parabolic equation with the Preisach operator under the time derivative. The model equation appears in the context of soil water hysteresis. Under suitable assumptions an existence result is obtained by using an implicit time discretization scheme, a priori estimates and passage to the limit in the convexity domain of the Preisach operator.

Keywords

Preisach hysteresis operatorParabolic equation

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Water flow through unsaturated porous media with hysteresis

  • Original language description

    The paper is devoted to the investigation of a parabolic equation with the Preisach operator under the time derivative. The model equation appears in the context of soil water hysteresis. Under suitable assumptions an existence result is obtained by using an implicit time discretization scheme, a priori estimates and passage to the limit in the convexity domain of the Preisach operator.

  • Czech name

  • Czech description

Classification

  • Type

    Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

Others

  • Publication year

    2011

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Nonlinear Analysis: Real World Applications

  • ISSN

    1468-1218

  • e-ISSN

  • Volume of the periodical

    12

  • Issue of the periodical within the volume

    6

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    10

  • Pages from-to

    3125-3134

  • UT code for WoS article

    000295232900017

  • EID of the result in the Scopus database

Basic information

Result type

Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

Jx

CEP

BA - General mathematics

Year of implementation

2011