A note on the regularity of weak solutions to the coupled 2D Allen-Cahn-Navier-Stokes system

• Autorzy: Medjo T. Tachim

Identyfikatory

DOI

10.1515/jaa-2019-0012

• Języki publikacji: EN

Abstrakty

EN

In this article,we study a coupled Allen-Cahn-Navier-Stokes model in a two-dimensional domain. The model consists of the Navier-Stokes equations for the velocity, coupled with an Allen-Cahn model for the order (phase) parameter.We present an equivalent weak formulation for the model, and we prove a new regularity result for the weak solutions.

Słowa kluczowe

EN

two-phase flow model; Allen-Cahn; Navier-Stokes; weak solutions

PL

model przepływu dwufazowego; Allen-Cahn; Navier-Stokes; rozwiązania słabe

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2019
• Tom: Vol. 25, nr 1
• Strony: 111--117
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Medjo T. Tachim

• Department of Mathematics and Statistics, Florida International University, MMC, Miami, Florida 33199, USA

Bibliografia

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).