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GLOBAL EXISTENCE FOR NERNST-PLANCK-NAVIER-STOKES SYSTEM IN RN

Publication ,  Journal Article
LIU, JG; WANG, J
Published in: Communications in Mathematical Sciences
January 1, 2020
Published version (DOI)

. In this note, we study the Nernst-Planck-Navier-Stokes system for the transport and diffusion of ions in electrolyte solutions. The key feature is to establish three energy-dissipation equalities. As their direct consequence, we obtain global existence for two-ionic species case in Rn, n ≥ 2, and multi-ionic species case in Rn, n = 2,3.

Duke Scholars

Jian-Guo Liu
Author Jian-Guo Liu Physics

Published In

Communications in Mathematical Sciences

DOI

10.4310/CMS.2020.v18.n6.a9

EISSN

1945-0796

ISSN

1539-6746

Publication Date

January 1, 2020

Volume

18

Issue

6

Start / End Page

1743 / 1754

Related Subject Headings

  • Applied Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 1502 Banking, Finance and Investment
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics
 

Citation

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ICMJE
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LIU, J. G., & WANG, J. (2020). GLOBAL EXISTENCE FOR NERNST-PLANCK-NAVIER-STOKES SYSTEM IN RN. Communications in Mathematical Sciences, 18(6), 1743–1754. https://doi.org/10.4310/CMS.2020.v18.n6.a9
LIU, J. G., and J. WANG. “GLOBAL EXISTENCE FOR NERNST-PLANCK-NAVIER-STOKES SYSTEM IN RN.” Communications in Mathematical Sciences 18, no. 6 (January 1, 2020): 1743–54. https://doi.org/10.4310/CMS.2020.v18.n6.a9.
LIU JG, WANG J. GLOBAL EXISTENCE FOR NERNST-PLANCK-NAVIER-STOKES SYSTEM IN RN. Communications in Mathematical Sciences. 2020 Jan 1;18(6):1743–54.
LIU, J. G., and J. WANG. “GLOBAL EXISTENCE FOR NERNST-PLANCK-NAVIER-STOKES SYSTEM IN RN.” Communications in Mathematical Sciences, vol. 18, no. 6, Jan. 2020, pp. 1743–54. Scopus, doi:10.4310/CMS.2020.v18.n6.a9.
LIU JG, WANG J. GLOBAL EXISTENCE FOR NERNST-PLANCK-NAVIER-STOKES SYSTEM IN RN. Communications in Mathematical Sciences. 2020 Jan 1;18(6):1743–1754.

Published In

Communications in Mathematical Sciences

DOI

10.4310/CMS.2020.v18.n6.a9

EISSN

1945-0796

ISSN

1539-6746

Publication Date

January 1, 2020

Volume

18

Issue

6

Start / End Page

1743 / 1754

Related Subject Headings

  • Applied Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 1502 Banking, Finance and Investment
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics