Shock Waves in Conservation Laws with Physical Viscosity is popular PDF and ePub book, written by Tai-Ping Liu in 2014, it is a fantastic choice for those who relish reading online the Conservation laws (Mathematics) genre. Let's immerse ourselves in this engaging Conservation laws (Mathematics) book by exploring the summary and details provided below. Remember, Shock Waves in Conservation Laws with Physical Viscosity can be Read Online from any device for your convenience.
Shock Waves in Conservation Laws with Physical Viscosity Book PDF Summary
We study the perturbation of a shock wave in conservation laws with physical viscosity. We obtain the detailed pointwise estimates of the solutions. In particular, we show that the solution converges to a translated shock profile. The strength of the perturbation and that of the shock are assumed to be small, but independent. Our assumptions on the viscosity matrix are general so that our results apply to the Navier-Stokes equations for the compressible fluid and the full system of magnetohydrodynamics, including the cases of multiple eigenvalues in the transversal fields, as long as the shock is classical. Our analysis depends on accurate construction of an approximate Green's function. The form of the ansatz for the perturbation is carefully constructed and is sufficiently tight so that we can close the nonlinear term through the Duhamel's principle.
Detail Book of Shock Waves in Conservation Laws with Physical Viscosity PDF
- Author : Tai-Ping Liu
- Release : 20 September 2024
- Publisher : Unknown
- ISBN : 1470420325
- Genre : Conservation laws (Mathematics)
- Total Page : 168 pages
- Language : English
- PDF File Size : 13,9 Mb
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