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Li, Jinkai

  1. The primitive equations as the small aspect ratio limit of the Navier-Stokes equations: rigorous justification of the hydrostatic approximation
    2017/06/26 by Jinkai Li, Edriss S. Titi, Li, Jinkai +1 · 7 citations
    Mathematics · Earth and Planetary Sciences · #Navier-Stokes equation solutions #Oceanographic and Atmospheric Processes #Ocean Waves and Remote Sensing
  2. Strong solutions to the 3D primitive equations with only horizontal dissipation: near H1 initial data
    2016/07/21 by Cao, Chongsheng, Li, Jinkai, Titi, Edriss S. · 4 citations
    #35Q35 #76D03 #86A10 #Analysis of PDEs (math.AP) #Atmospheric and Oceanic Physics (physics.ao-ph) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Geophysics (physics.geo-ph)
  3. The primitive equations approximation of the anisotropic horizontally viscous Navier-Stokes equations
    2021/06/01 by Jinkai Li, Li, Jinkai, Edriss S. Titi +3 · 5 citations
    Engineering · Mathematics · #35Q30 #35Q86 #76D05 #86A05 #86A10 #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Mathematical Physics (math-ph) #Navier-Stokes equation solutions
  4. Recent Advances Concerning Certain Class of Geophysical Flows
    2016/04/06 by Jinkai Li, Li, Jinkai, Edriss S. Titi +1 · 3 citations
    Mathematics · Physics and Astronomy · #35A01 #35B45 #35Q30 #35Q86 #76D03 #76D09 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Atmospheric and Oceanic Physics (physics.ao-ph) #Cosmology and Gravitation Theories #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Geophysics (physics.geo-ph) #Navier-Stokes equation solutions
  5. Local existence and uniqueness of strong solutions to the Navier-Stokes equations with nonnegative density
    2016/05/05 by Jinkai Li, Li, Jinkai · 3 citations
    Engineering · Mathematics · #76D03 #76D05 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations
  6. Global Well-posedness of Strong Solutions to the 3D Primitive Equations with Horizontal Eddy Diffusivity
    2014/01/06 by Cao, Chongsheng, Li, Jinkai, Titi, Edriss S. · 2 citations
    #35Q35 #76D03 #86A10 #Analysis of PDEs (math.AP) #Atmospheric and Oceanic Physics (physics.ao-ph) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Geophysics (physics.geo-ph)
  7. Existence and uniqueness of weak solutions to viscous primitive equations for certain class of discontinuous initial data
    2015/12/02 by Li, Jinkai, Titi, Edriss S. · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
  8. Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity
    2017/03/07 by Cao, Chongsheng, Li, Jinkai, Titi, Edriss S. · 2 citations
    #26D10 #35Q35 #35Q86 #76D03 #76D05 #86A05 #86A10 #Analysis of PDEs (math.AP) #Atmospheric and Oceanic Physics (physics.ao-ph) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Geophysics (physics.geo-ph)
  9. Global well-posedness of strong solutions to a tropical climate model
    2015/04/21 by Li, Jinkai, Titi, Edriss S. · 1 citation
    #35D35 #76D03 #86A10 #Analysis of PDEs (math.AP) #Atmospheric and Oceanic Physics (physics.ao-ph) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Geophysics (physics.geo-ph)
  10. Global Weak Solutions to Non-isothermal Nematic Liquid Crystals in 2D
    2013/07/08 by Jinkai Li, Zhouping Xin, Li, Jinkai +1 · 2 citations
    Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Geometric Analysis and Curvature Flows #Mathematical Physics (math-ph) #Navier-Stokes equation solutions
  11. Global small solutions to heat conductive compressible nematic liquid crystal system: smallness on a scaling invariant quantity
    2021/12/17 by Jinkai Li, Li, Jinkai, Qiang Tao +1 · 1 citation
    Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions
  12. Entropy-bounded solutions to the one-dimensional heat conductive compressible Navier-Stokes equations with far field vacuum
    2020/02/09 by Li, Jinkai, Xin, Zhouping · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
  13. Instantaneous unboundedness of the entropy and uniform positivity of the temperature for the compressible Navier-Stokes equations with fast decay density
    2023/01/02 by Li, Jinkai, Xin, Zhouping · 1 citation
    #35A01 #35B45 #35Q86 #76D03 #76D09 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)