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Shock Waves in Conservation Laws With Physical Viscosity
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Bibliographic Detail
Publisher Amer Mathematical Society
Publication date March 3, 2015
Pages 167
Binding Paperback
Book category Adult Non-Fiction
ISBN-13 9781470410162
ISBN-10 1470410168
Dimensions 0.50 by 6.75 by 9.75 in.
Weight 0.60 lbs.
Original list price $89.00
Summaries and Reviews description: Product Description: The authors study the perturbation of a shock wave in conservation laws with physical viscosity. They obtain the detailed pointwise estimates of the solutions. In particular, they 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. The authors' assumptions on the viscosity matrix are general so that their 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. The authors' 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 the author can close the nonlinear term through Duhamel's principle.

With Tai-Ping Liu, Edward G. Craig | from Ayer Co Pub (June 1, 1913); titled "Toward a New Theater Forty Designs for State Sciences"
Book cover for 9781470410162
The price comparison is for this edition
With Tai-Ping Liu | from Amer Mathematical Society (March 3, 2015)
9781470410162 | details & prices | 167 pages | 6.75 × 9.75 × 0.50 in. | 0.60 lbs | List price $89.00
About: The authors study the perturbation of a shock wave in conservation laws with physical viscosity.

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