Global Finite Energy Weak Solution to the Viscous Quantum Navier-Stokes-Landau-Lifshitz-Maxwell Model in 2-Dimension

Global Finite Energy Weak Solution to the Viscous Quantum Navier-Stokes-Landau-Lifshitz-Maxwell Model in 2-Dimension

Year:    2016

Author:    Boling Guo, Guangwu Wang

Annals of Applied Mathematics, Vol. 32 (2016), Iss. 2 : pp. 111–132

Abstract

In this paper, we prove the global existence of the weak solution to the viscous quantum Navier-Stokes-Landau-Lifshitz-Maxwell equations in two-dimension for large data. The main techniques are the Faedo-Galerkin approximation and weak compactness theory.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2016-AAM-20632

Annals of Applied Mathematics, Vol. 32 (2016), Iss. 2 : pp. 111–132

Published online:    2016-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    22

Keywords:    global finite energy weak solution viscous quantum Navier-Stokes-Landau-Lifshitz-Maxwell system Faedo-Galerkin method.

Author Details

Boling Guo

Guangwu Wang