Singularities : formation, structure, and propagation / J. Eggers, University of Bristol, M.A. Fontelos, Consejo Superior de Investigaciones Cientificas, Madrid
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Informations sur les auteurs http://catdir.loc.gov/catdir/enhancements/fy1512/2015016866-b.html
Bibliogr. p. 436-445. Index.
Preface; Part I. Setting the Scene: 1. What are singularities all about?; 2. Blow-up; 3. Similarity profile; 4. Continuum equations; 5. Local singular expansions; 6. Asymptotic expansions of PDEs; Part II. Formation of Singularities: 7. Drop break-up; 8. A numerical example: drop pinch-off; 9. Slow convergence; 10. Continuation; Part III. Persistent Singularities - Propagation: 11. Shock waves; 12. The dynamical system; 13. Vortices; 14. Cusps and caustics; 15. Contact lines and cracks; Appendix A. Vector calculus; Appendix B. Index notation and the summation convention; Appendix C. Dimensional analysis.