LECTURE NOTES ON APPLIED MATHEMATICS
Jun 17, 2009 · Lecture 1. Introduction 1 1. Conservation laws 1 2. Constitutive equations 2 3. The KPP equation 3 Lecture 2. Dimensional Analysis, Scaling, and Similarity 11 1. Systems of units 11 2. Scaling 12 3. Nondimensionalization 13 4. Fluid mechanics 13 5. Stokes formula for the drag on a sphere 18 6. Kolmogorov’s 1941 theory of turbulence 22 7. Self ...
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