Ebook: Asymptotic Analysis: From Theory to Application

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Content:
Front Matter....Pages -
On matching principles....Pages 1-8
Singular perturbations of spectra....Pages 9-32
Feed-back control of singularly perturbed heating problems....Pages 33-62
Singular perturbation methods in a one-dimensional free boundary problem....Pages 63-75
Bifurcation analysis of a non linear free boundary problem from plasma physics....Pages 76-93
Asymptotic approximations in magneto-hydrcdynamic singular perturbation problems....Pages 94-124
Boundary layers in large scale ocean circulation....Pages 125-145
Asymptotic methods for the Volterra-Lotka equations....Pages 146-157
Small random perturbations of dynamical systems with applications in population genetics....Pages 158-175
The description of jumps between Kepler orbits by boundary layer methods....Pages 176-186
The 1:2:1-resonance, its periodic orbits and integrals....Pages 187-208
Approximations of higher order resonances with an application to Contopoulos' model problem....Pages 209-228
On the asymptotic validity of perturbation methods for hyperbolic differential equations....Pages 229-240

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Content:
Front Matter....Pages -
On matching principles....Pages 1-8
Singular perturbations of spectra....Pages 9-32
Feed-back control of singularly perturbed heating problems....Pages 33-62
Singular perturbation methods in a one-dimensional free boundary problem....Pages 63-75
Bifurcation analysis of a non linear free boundary problem from plasma physics....Pages 76-93
Asymptotic approximations in magneto-hydrcdynamic singular perturbation problems....Pages 94-124
Boundary layers in large scale ocean circulation....Pages 125-145
Asymptotic methods for the Volterra-Lotka equations....Pages 146-157
Small random perturbations of dynamical systems with applications in population genetics....Pages 158-175
The description of jumps between Kepler orbits by boundary layer methods....Pages 176-186
The 1:2:1-resonance, its periodic orbits and integrals....Pages 187-208
Approximations of higher order resonances with an application to Contopoulos' model problem....Pages 209-228
On the asymptotic validity of perturbation methods for hyperbolic differential equations....Pages 229-240
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