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Generalized Solutions of Nonlinear Equations

  • S. N. Gurbatov
  • O. V. Rudenko
  • A. I. Saichev
Part of the Nonlinear Physical Science book series (NPS)

Abstract

Equations of mathematical physics and, in particular, nonlinear partial differential equations of the first order appear as a result of certain idealizations. This allows one to achieve elegance of mathematical models, a possibility to use them in order to predict, in an adequately quantitative way, important aspects of various real world phenomena. But any idealizations come at a cost. Factors unaccounted for by these idealizations gradually, and sometimes abruptly, begin to dominate, while the initial models cease to be able to describe what actually happens.

Keywords

Generalize Solution Weak Solution Convex Hull Detonation Wave Nonlinear Partial Differential Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Higher Education Press, Beijing and Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • S. N. Gurbatov
    • 1
  • O. V. Rudenko
    • 2
  • A. I. Saichev
    • 3
  1. 1.Radiophysics DepartmentNizhny Novgorod State UniversityNizhny NovgorodRussia
  2. 2.Physics DepartmentMoscow State UniversityMoscowRussia
  3. 3.Radiophysics DepartmentNizhny Novgorod State UniversityNizhny NovgorodRussia

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