# American Institute of Mathematical Sciences

November  2014, 13(6): 2331-2350. doi: 10.3934/cpaa.2014.13.2331

## Vanishing viscosity limit to rarefaction waves for the full compressible fluid models of Korteweg type

 1 College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China 2 School of Mathematics and Center for Nonlinear Studies, Northwest University, Xi'an 710127, China

Received  October 2013 Revised  April 2014 Published  July 2014

We prove the solution of the full compressible fluid models of Korteweg type with centered rarefaction wave data of large strength exists globally in time. As the viscosity, heat-conductivity and capillary coefficients tend to zero, the global solution converges to the centered rarefaction wave solution of the corresponding Euler equations uniformly when the initial perturbation is small. Our analysis is based on the energy method.
Citation: Wenjun Wang, Lei Yao. Vanishing viscosity limit to rarefaction waves for the full compressible fluid models of Korteweg type. Communications on Pure & Applied Analysis, 2014, 13 (6) : 2331-2350. doi: 10.3934/cpaa.2014.13.2331
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