Communications in Mathematical Sciences
Volume 14 (2016)
Derivation of the Burgers’ equation from the gas dynamics
Pages: 671 – 682
We establish in this paper that under long-wavelength small-amplitude approximation, the solution to the gas dynamics system converges globally in time to the solution of the Burgers’ equation for well prepared initial data.
Burgers’ equation, long wavelength limit, gas dynamics system
2010 Mathematics Subject Classification