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- W2014392145 abstract "A short-time existence theorem is proven for the initial-boundary-value problem for a class of quasilinear symmetric hyperbolic systems containing a constant-coefficient spatial operator multiplied by a large parameter λ. Solutions u are shown to remain bounded independently of λ for a time independent of λ provided that u(0) and ul(0) are bounded independently of λ and certain structural conditions are satisfied. This result is applied to the quasigeostrophic approximation of the shallow water equations and the constant-pressure approximation in combustion, and solutions for these cases are shown to converge to solutions of limiting equations as λ → ∞." @default.
- W2014392145 created "2016-06-24" @default.
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- W2014392145 date "1987-07-01" @default.
- W2014392145 modified "2023-10-14" @default.
- W2014392145 title "Singular limits in bounded domains for quasilinear symmetric hyperbolic systems having a vorticity equation" @default.
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- W2014392145 doi "https://doi.org/10.1016/0022-0396(87)90178-1" @default.
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