ADDENDUM TO “GAUGE METHOD FOR VISCOUS INCOMPRESSIBLE FLOWS”*
Publication
, Journal Article
Weinan, E; Liu, JG
Published in: Communications in Mathematical Sciences
January 1, 2003
Gauge transformation is a well-known concept in physics and has been used as a computational tool also. In fluid dynamics, Buttke was the first to use it as a computational tool to design vortex methods [1], following earlier work of Oseledets and others [3]. An alternative formulation was found by Maddocks and Pego [2] using the impetus-striction variables. This formulation does not seem to have the problem of numerical instability at the linear level. These authors are mainly concerned with writing down the Hamiltonian formulation of Euler’s equation, whereas we are mainly concerned with using the gauge freedom to overcome the difficulties with boundary condition.
Duke Scholars
Published In
Communications in Mathematical Sciences
DOI
EISSN
1945-0796
ISSN
1539-6746
Publication Date
January 1, 2003
Volume
1
Issue
4
Start / End Page
837 / 837
Related Subject Headings
- Applied Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 1502 Banking, Finance and Investment
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Weinan, E., & Liu, J. G. (2003). ADDENDUM TO “GAUGE METHOD FOR VISCOUS INCOMPRESSIBLE FLOWS”*. Communications in Mathematical Sciences, 1(4), 837–837. https://doi.org/10.4310/CMS.2003.v1.n4.a10
Weinan, E., and J. G. Liu. “ADDENDUM TO “GAUGE METHOD FOR VISCOUS INCOMPRESSIBLE FLOWS”*.” Communications in Mathematical Sciences 1, no. 4 (January 1, 2003): 837–837. https://doi.org/10.4310/CMS.2003.v1.n4.a10.
Weinan E, Liu JG. ADDENDUM TO “GAUGE METHOD FOR VISCOUS INCOMPRESSIBLE FLOWS”*. Communications in Mathematical Sciences. 2003 Jan 1;1(4):837–837.
Weinan, E., and J. G. Liu. “ADDENDUM TO “GAUGE METHOD FOR VISCOUS INCOMPRESSIBLE FLOWS”*.” Communications in Mathematical Sciences, vol. 1, no. 4, Jan. 2003, pp. 837–837. Scopus, doi:10.4310/CMS.2003.v1.n4.a10.
Weinan E, Liu JG. ADDENDUM TO “GAUGE METHOD FOR VISCOUS INCOMPRESSIBLE FLOWS”*. Communications in Mathematical Sciences. 2003 Jan 1;1(4):837–837.
Published In
Communications in Mathematical Sciences
DOI
EISSN
1945-0796
ISSN
1539-6746
Publication Date
January 1, 2003
Volume
1
Issue
4
Start / End Page
837 / 837
Related Subject Headings
- Applied Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 1502 Banking, Finance and Investment
- 0102 Applied Mathematics
- 0101 Pure Mathematics