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Asymptotic Analysis of Singular Perturbations
Asymptotic Analysis of Singular Perturbations
Studies in Non-Linear Stability Theory
Non-linear stability problems formulated in terms of non-linear partial differential equations have only recently begun to attract attention and it will probably take some time before our understanding of those problems reaches some degree of maturity. The passage from the more classical linear analysis to a non-linear analysis increases the mathematical complexity of the stability theory to a point where it may become discouraging, while some of the more usual mathematical methods lose their applicability. Although considerable progress has been made in recent years, notably in the field of fluid mechanics, much still remains to be done before a more permanent outline of the subject can be ...
Matched Asymptotic Expansions and Singular Perturbations
Matched Asymptotic Expansions and Singular Perturbations
Differential Equations and Applications
Differential Equations and Applications
Trends in Applications of Mathematics to Mechanics
In many areas of mechanics the interplay between mathematics and physics is crucial for understanding not only underlying principles but also practical applications. This is particularly the case in hydrodynamics and elasticity. Over thirty articles in this volume discuss various aspects including perturbation methods and applications, instability, bifurcations and transition to chaos, multibody dynamics and control, mechanics and mathematics of non-classical materials, and new interactions of mathematics and mechanics. The book addresses scientists and engineers working in these areas including those interested in applied mathematical analysis.
The Inverse Scattering Transformation and The Theory of Solitons
The Inverse Scattering Transformation and The Theory of Solitons
New Developments in Differential Equations
Proceedings of the Second Scheveningen Conference on Differential Equations, the Netherlands, August 25-29, 1975.
Methods and Applications of Singular Perturbations
Contains well-chosen examples and exercises A student-friendly introduction that follows a workbook type approach
Geometric Aspects of Analysis and Mechanics
Hans Duistermaat, an influential geometer-analyst, made substantial contributions to the theory of ordinary and partial differential equations, symplectic, differential, and algebraic geometry, minimal surfaces, semisimple Lie groups, mechanics, mathematical physics, and related fields. Written in his honor, the invited and refereed articles in this volume contain important new results as well as surveys in some of these areas, clearly demonstrating the impact of Duistermaat's research and, in addition, exhibiting interrelationships among many of the topics.
