Large Time Behavior of Solutions for General Quasilinear Hyperbolic Parabolic Systems of Conservation Laws is popular PDF and ePub book, written by Tai-Ping Liu in 1997, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Large Time Behavior of Solutions for General Quasilinear Hyperbolic Parabolic Systems of Conservation Laws can be Read Online from any device for your convenience.
Large Time Behavior of Solutions for General Quasilinear Hyperbolic Parabolic Systems of Conservation Laws Book PDF Summary
We are interested in the time-asymptotic behavior of solutions to viscous conservation laws. Through the pointwise estimates for the Green's function of the linearized system and the analysis of coupling of nonlinear diffusion waves, we obtain explicit expressions of the time-asymptotic behavior of the solutions. This yields optimal estimates in the integral norms. For most physical models, the viscosity matrix is not positive definite and the system is hyperbolic-parabolic, and not uniformly parabolic. This implies that the Green's function may contain Dirac [lowercase Greek]Delta-functions. When the corresponding inviscid system is non-strictly hyperbolic, the time-asymptotic state contains generalized Burgers solutions. These are illustrated by applying our general theory to the compressible Navier-Stokes equations and the equations of magnetohydrodynamics.
Detail Book of Large Time Behavior of Solutions for General Quasilinear Hyperbolic Parabolic Systems of Conservation Laws PDF
- Author : Tai-Ping Liu
- Release : 20 September 1997
- Publisher : American Mathematical Soc.
- ISBN : 9780821805459
- Genre : Mathematics
- Total Page : 135 pages
- Language : English
- PDF File Size : 9,8 Mb
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