Singular Singular-Perturbation Problems.
ARIZONA UNIV TUCSON DEPT OF MATHEMATICS
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Consider initial problems for nonlinear singularly perturbed systems of the form epsilon sub z dot fz,t,epsilon in the singular situation that f sub zz,t,0 has a nontrivial null space. Under appropriate hypotheses, such problems have asymptotic solutions as epsilon approaches 0 for t or 0 consisting of the sum of a function of t and a function of tau tepsilon. These problems arise in a number of situations in fluid dynamics and optimal control.
- Theoretical Mathematics