Semantic Scholar Open Access 2010 535 sitasi

Global well‐posedness of classical solutions with large oscillations and vacuum to the three‐dimensional isentropic compressible Navier‐Stokes equations

Xiangdi Huang Jing Li Z. Xin

Lihat Sumber DOI

Abstrak

We establish the global existence and uniqueness of classical solutions to the Cauchy problem for the isentropic compressible Navier‐Stokes equations in three spatial dimensions with smooth initial data that are of small energy but possibly large oscillations with constant state as far field, which could be either vacuum or nonvacuum. The initial density is allowed to vanish, and the spatial measure of the set of vacuum can be arbitrarily large; in particular, the initial density can even have compact support. These results generalize previous results on classical solutions for initial densities being strictly away from vacuum and are the first for global classical solutions that may have large oscillations and can contain vacuum states. © 2012 Wiley Periodicals, Inc.

Topik & Kata Kunci

Mathematics Physics

Penulis (3)

Xiangdi Huang

Jing Li

Z. Xin

Format Sitasi

APA MLA BibTeX

Huang, X., Li, J., Xin, Z. (2010). Global well‐posedness of classical solutions with large oscillations and vacuum to the three‐dimensional isentropic compressible Navier‐Stokes equations. https://doi.org/10.1002/CPA.21382

Akses Cepat

Lihat di Sumber doi.org/10.1002/CPA.21382

Informasi Jurnal

Tahun Terbit: 2010
Bahasa: en
Total Sitasi: 535×
Sumber Database: Semantic Scholar
DOI: 10.1002/CPA.21382
Akses: Open Access ✓