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MR1948453 35Q35 (35B25 35B35 76N10)
Hagstrom, Thomas; Lorenz, Jens On the stability of approximate solutions of hyperbolic-parabolic systems and the all-time existence of smooth, slightly compressible flows. Indiana Univ. Math. J. 51 (2002), no. 6, 1339–1387.
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