[1]Dafermos C M.Solution of Riemann problem for a class of hyperbolic conservation laws by viscosity method.Archive for Rational Mechanics and Analysis, 1993, 52: 1-9
[2]Tzavaras A E. Wave interactions and variation estimates for self-similar viscous limits in systems of conservation laws. Arch Rat Mech Anal, 1996,135: 1-60
[3]Crighton D G, Scott J F. Asymptotic solution of model equations in nonlinear acoustics. Phil Trans Koy Soc, 1979, 292A: 101-134
[4]Scott J F. The long time asymptotics of solution to the generalized Burgers equation. Proc Roy Soc Lond,1981, 373A: 443-456
[5]Sauchder P L. Nonlinear diffusive waves. New York: Cambridge University Press, 1987
[6]Leibovich S, Seebass A R, eds. Nonlinear waves. London: Cornell University Press, 1974
[7]Hopf E. The partial differential equation ut + uux = μuxx. Comm Pure Appl Math, 1950, 3: 201-230
[8]Slemrod M. Resolution of the spherical piston problem for compressible isentropic gas dynamics via a self-similar viscous limit. Proc of the Royal Soc of Edinburgh, 1996, 126A:1309-1340
[9]Ding Xiaxi, Wang Jinghua. Global solutions for a semilinear parabolic system. Acta Mathematica Scientia,1983, 3(4): 397-414
[10]Hoff D, Smoller J. Solutions in the large for certain nonlinear parabolic systems. Ann Inst Herri Poincare-Analyse nonlinear, 1985, 2: 213-235
[11]H¨ormander L. Lectures on nonlinear hyperbolic differential equations. Berlin, Heidelberg: Springer-Verlag,1997
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