It takes the average reader 1 hour and 5 minutes to read Nonlinear Wave Equations, Formation of Singularities by Fritz John
Assuming a reading speed of 250 words per minute. Learn more
This is the second volume in the University Lecture Series, designed to make more widely available some of the outstanding lectures presented in various institutions around the country. Each year at Lehigh University, a distinguished mathematical scientist presents the Pitcher Lectures in the Mathematical Sciences. This volume contains the Pitcher lectures presented by Fritz John in April 1989. The lectures deal with existence in the large of solutions of initial value problems for nonlinear hyperbolic partial differential equations. As is typical with nonlinear problems, there are many results and few general conclusions in this extensive subject, so the author restricts himself to a small portion of the field, in which it is possible to discern some general patterns. Presenting an exposition of recent research in this area, the author examines the way in which solutions can, even with small and very smooth initial data, ``blow up'' after a finite time. For various types of quasi-linear equations, this time depends strongly on the number of dimensions and the ``size'' of the data. Of particular interest is the formation of singularities for nonlinear wave equations in three space dimensions.
Nonlinear Wave Equations, Formation of Singularities by Fritz John is 64 pages long, and a total of 16,256 words.
This makes it 22% the length of the average book. It also has 20% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 1 hour and 28 minutes to read Nonlinear Wave Equations, Formation of Singularities aloud.
Nonlinear Wave Equations, Formation of Singularities is suitable for students ages 8 and up.
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