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- W1978809263 abstract "The motion of an ideal incompressible fluid is described by a system of partial differential equations known as the Euler equation. Considering the initial value problem for this equation, we prove that in a classical solution the Lq-regularity of the data propagates along the fluid lines. Our method consists of combining properties of the e-approximate solution with Lq-energy estimates and simple results of classical singular integral operators. In particular, for the two-dimensional case we present an elementary proof." @default.
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- W1978809263 date "1989-01-01" @default.
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- W1978809263 title "Propagation of $Lsp qsb k$-smoothness for solutions of the Euler equation" @default.
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- W1978809263 doi "https://doi.org/10.1090/s0002-9947-1989-0937250-1" @default.
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