Vanishing viscosity solutions for conservation laws with regulated flux
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DOI: 10.1016/j.jde.2018.07.044
Abstract: Abstract In this paper we introduce a concept of “regulated function” v ( t , x ) of two variables, which reduces to the classical definition when v is independent of t. We then consider… read more here.
Keywords: vanishing viscosity; conservation laws; viscosity; viscosity solutions ... See more keywords
On the vanishing viscosity limit for 2D incompressible flows with unbounded vorticity
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DOI: 10.1088/1361-6544/abe51f
Abstract: We show strong convergence of the vorticities in the vanishing viscosity limit for the incompressible Navier–Stokes equations on the two-dimensional torus, assuming only that the initial vorticity of the limiting Euler equations is in L… read more here.
Keywords: vanishing viscosity; limit incompressible; viscosity limit; vorticity ... See more keywords
The strong vanishing viscosity limit with Dirichlet boundary conditions
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DOI: 10.1088/1361-6544/acc50a
Abstract: We adapt methodology of Tosio Kato to establish necessary and sufficient conditions for the solutions to the Navier–Stokes equations with Dirichlet boundary conditions to converge in a strong sense to a solution to the Euler… read more here.
Keywords: vanishing viscosity; strong vanishing; dirichlet boundary; boundary conditions ... See more keywords