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- W2095699194 abstract "We prove global existence of weak solutions to two systems of equations which extend the dynamics of the Navier-Stokes equations for in- compressible viscous ow with no-slip boundary condition. The systems of equations we consider arise as formal limits of time discrete pressure-Poisson schemes introduced by Johnston & Liu (J. Comp. Phys. 199 (2004) 221{259) and by Shiroko & Rosales (J. Comp. Phys. 230 (2011) 8619{8646) when the initial data does not satisfy the required compatibility condition. Unlike the results of Iyer et al (J. Math. Phys. 53 (2012) 115605), our approach proves existence of weak solutions in domains with less than C 1 regularity. Our ap- proach also addresses uniqueness in 2D and higher regularity." @default.
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- W2095699194 date "2015-01-01" @default.
- W2095699194 modified "2023-10-08" @default.
- W2095699194 title "Global existence for two extended Navier-Stokes systems" @default.
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- W2095699194 doi "https://doi.org/10.4310/cms.2015.v13.n1.a12" @default.
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