Abstract.
The aim of this work is to prove an existence and uniqueness result for a non-isothermal model of capillary compressible fluids derived by J. E. Dunn and J. Serrin (1985). The proof is essentially based on the maximal regularity result of the associated linear problem, where we can fall back upon useful results proved before. Using the maximal regularity the nonlinear problem can be approached by the contraction mapping principle.
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Communicated by H. Sohr
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Kotschote, M. Strong Well-Posedness for a Korteweg-Type Model for the Dynamics of a Compressible Non-Isothermal Fluid. J. Math. Fluid Mech. 12, 473–484 (2010). https://doi.org/10.1007/s00021-009-0298-1
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DOI: https://doi.org/10.1007/s00021-009-0298-1