By Symposium on Nonlinear Evolution Equations University of Wisconsin-mad, Michael G. Crandall, Michael G. Crandall, University of Wisconsin--Madison Mathematics Research Center
ISBN-10: 0121952509
ISBN-13: 9780121952501
Read Online or Download Nonlinear Evolution Equations. Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin–Madison, October 17–19, 1977 PDF
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Additional info for Nonlinear Evolution Equations. Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin–Madison, October 17–19, 1977
Sample text
Ek)| ,v) 1dk L ' 2li dk < L 42 Takaaki Nishida 2 * C ( J ( + )dk 2 |k|<6 2 < C ( e | | f|| j ( )dk) 5 2/ 2 6<|k|<6/e 2 2 £ t6 a + 6 || f|| - e ° ) L 2fl/ ( l + e t ) ' qed. 1 into those in the space of Bm
3. 2. 27)|||f e(t)-f e(s)||| m_ a f_ j apl f _< C 2E{ for 0 < s < t and for a fixed o e (0,1/2) , where C 2 is independent of e e (0,1]. 11). See Nishida (preprint). We only remark that the Q Holder-coefficient has the singularity of l/t as t 0, which corresponds to the initial layer of the rarefied gas motion described by Boltzmann equation. 28) f E(t) - f 0(t) in B _ m 0 _ta pti, The limit function has the bound 0 Williams, Combustion theory, Addison Wesley (1965). Partially supported by US ERDA at the Lawrence Berkeley Laboratory. Department of Mathematics University of California Berkeley, California 94720 27 Nonlinear Evolution Equations The Initial Value Problem of the Boltzmann Equation and Its Fluid Dynamical Limit at the Level of Compressible Euler Equation Takaaki 1. is used for G. 3) tion The initial data are given by F(0,x,v) = F(x,v) > 0. We assume the cut-off hard potentials in the sense of Grad (1965) for the collision, which include 2Q the hard sphere Copyright © 1978 by Academic Press, Inc. Nonlinear Evolution Equations. Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin–Madison, October 17–19, 1977 by Symposium on Nonlinear Evolution Equations University of Wisconsin-mad, Michael G. Crandall, Michael G. Crandall, University of Wisconsin--Madison Mathematics Research Center
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