Document Type
Article
Publication Date
2026
Keywords
Euler Equation, Navier-Stokes Equation, entropy, spherical harmonics
Abstract
The existence of a weak solution of the incompressible isothermal Navier-Stokes equation with given initial conditions is established. The existence is uniform with respect to the Euler limit of zero viscosity $\nu$. Thus, existence of weak solutions of the Euler equation with given initial conditions is also established, and these Euler solutions are the zero viscosity limit of Navier-Stokes solutions.
Recommended Citation
Glimm, James, "Weak Solutions of the Navier-Stokes Equation and their Euler limits" (2026). Department of Applied Mathematics & Statistics Faculty Publications. 11.
https://commons.library.stonybrook.edu/ams-articles/11
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