A note on the stability of the rarefaction wave of the Burgers equation
Tóm tắt
Từ khóa
Tài liệu tham khảo
A.M. Il'in and O.A. Oleinik, Asymptotic behavior of the solutions of the Cauchy problem for certain quasilinear equation for large time (Russian). Mat. Sb.,51 (1960), 191–216.
S. Kawashima, A. Matsumura and K. Nishihara, Asymptotic behavior of solutions for the equations of a viscous heat-conductive gas. Proc. Japan Acad.,62 (1986), 249–252.
T.P. Liu, Nonlinear stability of shock waves for viscous conservation laws. Mem. Amer. Math. Soc.,329 (1985), 1–108.
A. Matsumura and K. Nishihara, On the stability of traveling wave solutions of a one-dimensional model system for compressible viscous gas. Japan J. Appl. Math.,2 (1985), 17–25.
A. Matsumura and K. Nishihara, Asymptotics towards the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas. Japan J. Appl. Math.,3 (1986), 1–13.