Počet záznamů: 1

Stability results for a soil model with singular hysteretic hydrology

  1. 1.
    0360292 - MU-W 2012 RIV GB eng J - Článek v odborném periodiku
    Krejčí, Pavel - O'Kane, J.P. - Pokrovskii, A. - Rachinskii, D.
    Stability results for a soil model with singular hysteretic hydrology.
    Journal of Physics: Conference Series. Roč. 268, č. 1 (2011), 012016 ISSN 1742-6588.
    [5th International workshop on multi-rate processes and hysteresis. Pecs, 31.05.2010-03.06.2010]
    Grant CEP: GA ČR GAP201/10/2315
    Výzkumný záměr: CEZ:AV0Z10190503
    Klíčová slova: hysteresis * evolution equation * stability
    Kód oboru RIV: BA - Obecná matematika
    http://iopscience.iop.org/1742-6596/268/1/012016

    We consider a differential equation describing the mass balance in a soil hydrology model with noninvertible Preisach-type hysteresis. We approximate the singular Preisach operator by regular ones and show, as main result, that the solutions of the regularized problem converge to a solution of the original one as the regularization parameter tends to zero. For monotone right hand sides, we prove that the solution is unique. If in addition the external water sources are time periodic, then we find sufficient conditions for the existence, uniqueness, and global asymptotic stability of periodic solutions.
    Trvalý link: http://hdl.handle.net/11104/0197878
    Název souboruStaženoVelikostKomentářVerzePřístup
    Krejci2.pdf4483.1 KBVydavatelský postprintpovolen