On the singular limit for slightly compressible fluids |
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Authors: | H Beirão da Veiga |
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Institution: | (1) Centro Interdisciplinare B. Segre, Accademia Nazionale dei Lincei, Italy;(2) Present address: Dipartimento di Matematica, Università di Pisa, Via F. Buonarroti 2, I-56127 Pisa, Italy |
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Abstract: | In this paper we study the motion of slightly compressible inviscid fluids. We prove that the solution of the corresponding system of nonlinear partial differential equations converges (uniformly) in the strong norm (that of the data space) to the solution of the incompressible equations, as the Mach number goes to zero (see Theorem 1.2). Actually, our proof applies to a large class of singular limit problems as shown in the Theorem 2.2. |
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Keywords: | 35B30 35L45 35L60 76N10 |
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