Vanishing viscosity limit of the Navier‐Stokes equations to the euler equations for compressible fluid flow
By Gui-Qiang G. Chen, M. Perepelitsa. 2009
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We establish the vanishing viscosity limit of the Navier‐Stokes equations to the isentropic Euler equations for one‐dimensional compressible fluid flow. For the Navier‐Stokes equations, there exist no natural invariant regions for the equations with the real physical viscosity term so that the uniform sup‐norm of solutions with respect to the physical viscosity coefficient may not be directly controllable. Furthermore, convex entropy‐entropy flux pairs may not produce signed entropy dissipation measures.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/955ceadefdb57eb1ac4b31b70e6ee458bd3c1bf5
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In Applied Mathematics
In Mathematical Physics
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- Existence of global strong solution and vanishing capillarity-viscosity limit in one dimension for the Korteweg system (2011, methodology): “…, H ψ ) satisfies: (2.25) 2.37 We are now going to give recent results on the entropy pair ( η ψ , q ψ ) generated by ψ ∈ C 20 ( R ) (we refer to 10 [5] for more details). propChen Proposition 2.4 For a C 2 function ψ : R → R , compactly supported on the interval [ a, b ] , we have: Furthermore,…”