The convergence with vanishing viscosity of nonstationary Navier-Stokes flow to ideal flow in $R_{3}$
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- by H. S. G. Swann PDF
- Trans. Amer. Math. Soc. 157 (1971), 373-397 Request permission
Abstract:
It is shown here that a unique solution to the Navier-Stokes equations exists in ${R_3}$ for a small time interval independent of the viscosity and that the solutions for varying viscosities converge uniformly to a function that is a solution to the equations for ideal flow in ${R_3}$. The existence of the solutions is shown by transforming the Navier-Stokes equations to an equivalent system solvable by applying fixed point methods with estimates derived from using semigroup theory.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 157 (1971), 373-397
- MSC: Primary 35.79; Secondary 76.00
- DOI: https://doi.org/10.1090/S0002-9947-1971-0277929-7
- MathSciNet review: 0277929