Volume 32, Issue 2
Global Finite Energy Weak Solution to the Viscous Quantum Navier-Stokes-Landau-Lifshitz-Maxwell Model in 2-Dimension

Boling Guo & Guangwu Wang

Ann. Appl. Math., 32 (2016), pp. 111-132.

Published online: 2022-06

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  • 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.

  • AMS Subject Headings

35A01, 35D30, 35M31, 35Q40, 35Q61

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COPYRIGHT: © Global Science Press

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@Article{AAM-32-111, author = {Guo , Boling and Wang , Guangwu}, title = {Global Finite Energy Weak Solution to the Viscous Quantum Navier-Stokes-Landau-Lifshitz-Maxwell Model in 2-Dimension}, journal = {Annals of Applied Mathematics}, year = {2022}, volume = {32}, number = {2}, pages = {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.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20632.html} }
TY - JOUR T1 - Global Finite Energy Weak Solution to the Viscous Quantum Navier-Stokes-Landau-Lifshitz-Maxwell Model in 2-Dimension AU - Guo , Boling AU - Wang , Guangwu JO - Annals of Applied Mathematics VL - 2 SP - 111 EP - 132 PY - 2022 DA - 2022/06 SN - 32 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/20632.html KW - global finite energy weak solution, viscous quantum Navier-Stokes-Landau-Lifshitz-Maxwell system, Faedo-Galerkin method. AB -

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.

Guo , Boling and Wang , Guangwu. (2022). Global Finite Energy Weak Solution to the Viscous Quantum Navier-Stokes-Landau-Lifshitz-Maxwell Model in 2-Dimension. Annals of Applied Mathematics. 32 (2). 111-132. doi:
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