By N. Ben Abdallah, P. Degond, F. Deluzet, V. Latocha, R. Talaalout, M. H. Vignal (auth.), Thomas Y. Hou, Eitan Tadmor (eds.)
ISBN-10: 3642557112
ISBN-13: 9783642557118
ISBN-10: 3642629296
ISBN-13: 9783642629297
The foreign convention on "Hyperbolic difficulties: thought, Numerics and Applications'' was once held in CalTech on March 25-30, 2002. The convention was once the 9th assembly within the bi-annual overseas sequence which turned one of many best quality and so much profitable convention sequence in utilized arithmetic. This quantity includes greater than ninety contributions provided during this convention, together with plenary shows by means of A. Bressan, P. Degond, R. LeVeque, T.-P. Liu, B. Perthame, C.-W. Shu, B. Sjögreen and S. Ukai. Reflecting the target of sequence, the contributions during this quantity maintain the conventional mixture of conception, numerics and purposes. The Hyp2002 assembly put a specific emphasize on primary thought and numerical research, on multi-scale research, modeling and simulations, and on geophysical purposes and loose boundary difficulties coming up from fabrics technology and multi-component fluid dynamics. the quantity should still entice researchers, scholars and practitioners with common curiosity in time-dependent difficulties ruled by means of hyperbolic equations.
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Additional info for Hyperbolic Problems: Theory, Numerics, Applications: Proceedings of the Ninth International Conference on Hyperbolic Problems held in CalTech, Pasadena, March 25–29, 2002
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Edu 1 Introduction The one-dimensional elastic wave equations for compressional waves have the form Et(X, t) - ux(x, t) = (p(x)u(x, t))t - O"(E(X , t), X)x = a a (1) where E(X, t) is the strain and u(x, t) the velocity. We consider a heterogeneous material with the density specified by p(x) and a nonlinear constitutive relation for the stress given by a function 0"( E, x) that also varies explicitly with x. (q,x)x = O. In particular, we consider a periodic layered medium (a laminate) in which p(x) and O"(E,X) are given by if j8 < x < (j otherwise.
27. S. Schochet, Sufficient conditions for local existence via Glimm's scheme for large BV data, J. Differential Equations 89 (1991), 317-354. 28. A. Szepessy and Z. Xin, Nonlinear stability and viscous shocks , Arch . Rational Mech. Anal. 122 (1993), 53-103. Viscosity Solutions for Nonlinear Hyperbolic Systems 41 29. A. Szepessy and K. Zumbrun, Stability of rarefaction waves in viscous media, Arch. Rational Mech. Anal. 133 (1996), 249-298. 30. A. Vanderbauwhede, Centre manifolds, normal forms and elementary bifurcations, Dynamics Reported, Vol.
Oxford University Press, 2000. 40 Alberto Bressan 5. A. Bressan and R. M. Colombo, The semigroup generated by 2 x 2 conservation laws, Arch. Rational Mech. Anal. 133 (1995), 1-75. 6. A. Bressan and R . M. Colombo, Unique solutions of 2 x 2 conservation laws with large data, Indiana Univ. Math. J. 44 (1995), 677-725. 7. A. Bressan, G. Crasta and B. Piccoli, Well posedness of the Cauchy problem for n x n conservation laws, Amer. Math. Soc. Memoir 694 (2000). 8. A. Bressan and P. Goatin, Oleinik type estimates and uniqueness for n x n conservation laws, J.
Hyperbolic Problems: Theory, Numerics, Applications: Proceedings of the Ninth International Conference on Hyperbolic Problems held in CalTech, Pasadena, March 25–29, 2002 by N. Ben Abdallah, P. Degond, F. Deluzet, V. Latocha, R. Talaalout, M. H. Vignal (auth.), Thomas Y. Hou, Eitan Tadmor (eds.)
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