Large data solutions to the viscous quantum hydrodynamic model with barrier potential

Dreher, Michael; Schnur, Johannes

Large data solutions to the viscous quantum hydrodynamic model with barrier potential

Dateien

Dreher_275033.pdfGröße: 537.76 KBDownloads: 330

Datum

2014

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Mathematik und Statistik

Publikationstyp

Working Paper/Technical Report

Publikationsstatus

Published

Zusammenfassung

We discuss analytically the stationary viscous quantum hydrodynamic model including a barrier potential, which is a nonlinear system of partial differential equations of mixed order in the sense of Douglis-Nirenberg. Combining a reformulation by means of an adjusted Fermi level, a variational functional, and a fixed point problem, we prove the existence of a weak solutions. There are no assumptions on the size of the given data or their variation. We also provide various estimates of the solution that are independent of the quantum parameters.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

partielle Differentialgleichungen

Zitieren

ISO 690

DREHER, Michael, Johannes SCHNUR, 2014. Large data solutions to the viscous quantum hydrodynamic model with barrier potential

BibTex

@techreport{Dreher2014Large-27503,
  year={2014},
  series={Konstanzer Schriften in Mathematik},
  title={Large data solutions to the viscous quantum hydrodynamic model with barrier potential},
  number={328},
  author={Dreher, Michael and Schnur, Johannes}
}

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