Titlebook: Nonlinear Waves and Solitons on Contours and Closed Surfaces; Andrei Ludu Book 20071st edition Springer-Verlag Berlin Heidelberg 2007 Soli

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Vector Fields, Differential Forms, and Derivatives] for a very friendly general treatment of surfaces, or [33] as a very pictorial book on geometry with many applications..The reason of using calculus on manifolds and differential geometry tools in physical applications is to solve physical problems as specific as possible in a mathematical frame a

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Dynamics of Hydrodynamics equation of the free surface, as well as equations of momentum balance at the surface. If we take into account the nonlinear terms in the dynamical equations, and in the associated curved geometry, some interesting solutions occur. Special nonlinear effects related to fluids on compact domains with

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Nonlinear Surface Waves in Three Dimensionsroplet form, behavior of long wavelet jets emitted from noncircular orifices, coalescence of liquid drops [186], and surface oscillations of liquid drops, bubbles, and shells in combination with surfactants. At larger scales drops are important for calculations of the radar cross-section of rain clo

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0172-7389 d having particle-like properties plus an in?nite number of conservation laws associated to its dynamics. In general, solitons arise as exact solutions of approximative models. There are di?- e978-3-642-09196-4978-3-540-72873-3Series ISSN 0172-7389 Series E-ISSN 2198-333X

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ange of debates with philosophers and scholars both past and present, from Montesquieu to Morgenthau; and finally, polemically, he deflates the pretensions of behaviorists, positivists, and others who continue to argue and to hope that international relations can be developed into a rigorous science akin to economics.

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contrast, the political insights Aron received in Germany were much more influential in bringing about his own brand of conservative liberalism. One should never forget that he denied being the representative of an abstract liberalism based on any speculative theory.