Existence and time-asymptotics of global strong solutions to dynamic Korteweg models

Kotschote, Matthias

Existence and time-asymptotics of global strong solutions to dynamic Korteweg models

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Datum

2014

Publikationstyp

Zeitschriftenartikel

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Erschienen in

Indiana University Mathematics Journal. 2014, 63(1), pp. 21-51. ISSN 0022-2518. eISSN 1943-5274. Available under: doi: 10.1512/iumj.2014.63.5187

Zusammenfassung

In this paper, we investigate isothermal and non-isothermal models of capillary compressible fluids as derived by J. E. Dunn and J. Serrin (1985). We establish global existence and uniqueness for initial data near equilibria, and show exponential stability of equilibrias in the phase space. The proof is based on maximal L_p-regularity results for the associated linear problem.

Fachgebiet (DDC)

510 Mathematik

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ISO 690

KOTSCHOTE, Matthias, 2014. Existence and time-asymptotics of global strong solutions to dynamic Korteweg models. In: Indiana University Mathematics Journal. 2014, 63(1), pp. 21-51. ISSN 0022-2518. eISSN 1943-5274. Available under: doi: 10.1512/iumj.2014.63.5187

BibTex

@article{Kotschote2014Exist-30157,
  year={2014},
  doi={10.1512/iumj.2014.63.5187},
  title={Existence and time-asymptotics of global strong solutions to dynamic Korteweg models},
  number={1},
  volume={63},
  issn={0022-2518},
  journal={Indiana University Mathematics Journal},
  pages={21--51},
  author={Kotschote, Matthias}
}

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