EXISTENCE of GLOBAL WEAK SOLUTIONS of p-NAVIER-STOKES EQUATIONS
Publication
, Journal Article
Liu, JG; Zhang, Z
Published in: Discrete and Continuous Dynamical Systems - Series B
January 1, 2022
This paper investigates the global existence of weak solutions for the incompressible p-Navier-Stokes equations in Rd (2 ≤ d ≤ p). The pNavier-Stokes equations are obtained by adding viscosity term to the p-Euler equations. The diffusion added is represented by the p-Laplacian of velocity and the p-Euler equations are derived as the Euler-Lagrange equations for the action represented by the Benamou-Brenier characterization of Wasserstein-p distances with constraint density to be characteristic functions.
Duke Scholars
Published In
Discrete and Continuous Dynamical Systems - Series B
DOI
ISSN
1531-3492
Publication Date
January 1, 2022
Volume
27
Issue
1
Start / End Page
469 / 486
Related Subject Headings
- Applied Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Liu, J. G., & Zhang, Z. (2022). EXISTENCE of GLOBAL WEAK SOLUTIONS of p-NAVIER-STOKES EQUATIONS. Discrete and Continuous Dynamical Systems - Series B, 27(1), 469–486. https://doi.org/10.3934/dcdsb.2021051
Liu, J. G., and Z. Zhang. “EXISTENCE of GLOBAL WEAK SOLUTIONS of p-NAVIER-STOKES EQUATIONS.” Discrete and Continuous Dynamical Systems - Series B 27, no. 1 (January 1, 2022): 469–86. https://doi.org/10.3934/dcdsb.2021051.
Liu JG, Zhang Z. EXISTENCE of GLOBAL WEAK SOLUTIONS of p-NAVIER-STOKES EQUATIONS. Discrete and Continuous Dynamical Systems - Series B. 2022 Jan 1;27(1):469–86.
Liu, J. G., and Z. Zhang. “EXISTENCE of GLOBAL WEAK SOLUTIONS of p-NAVIER-STOKES EQUATIONS.” Discrete and Continuous Dynamical Systems - Series B, vol. 27, no. 1, Jan. 2022, pp. 469–86. Scopus, doi:10.3934/dcdsb.2021051.
Liu JG, Zhang Z. EXISTENCE of GLOBAL WEAK SOLUTIONS of p-NAVIER-STOKES EQUATIONS. Discrete and Continuous Dynamical Systems - Series B. 2022 Jan 1;27(1):469–486.
Published In
Discrete and Continuous Dynamical Systems - Series B
DOI
ISSN
1531-3492
Publication Date
January 1, 2022
Volume
27
Issue
1
Start / End Page
469 / 486
Related Subject Headings
- Applied Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics