Development of singularities in Riemann Invariants | Zendy

Barbara Lee Keyfitz | Zendy

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Development of singularities in Riemann Invariants

Author(s) -

Barbara Lee Keyfitz

Publication year - 1992

Publication title -

osti oai (u.s. department of energy office of scientific and technical information)

Language(s) - English

Resource type - Reports

DOI - 10.2172/764165

Subject(s) - gravitational singularity , mathematics , a priori and a posteriori , simple (philosophy) , nonlinear system , riemann hypothesis , variable (mathematics) , mathematical analysis , space (punctuation) , type (biology) , amplitude , pure mathematics , physics , computer science , geology , paleontology , philosophy , epistemology , quantum mechanics , operating system

Shocks form in finite time in systems of quasilinear hyperbolic equations in one space variable which are genuinely nonlinear. The authors write down a simple geometric construction for systems of two equations, and use it to obtain a priori estimates for the growth of the derivatives. They also find realistic bounds on the maximum and minimum time of existence of smooth solutions for large amplitude waves in a model system of an unusual type

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