Non-existence of classical solutions with finite energy to the Cauchy problem of the Navier-Stokes-Korteweg equations
This paper concerns the compressible Navier-Stokes-Korteweg equations. Based on previous work [Li et al., Arch. Ration. Mech. Anal. 232, 557-590 (2019)], we prove that the classical solution with finite energy does not exist in the inhomogeneous Sobolev space for any short time under some natural as...
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| Format: | Article |
| Language: | English |
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American Institute of Physics Inc.
2022
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| Online Access: | View Fulltext in Publisher |