variational potential methods class von chudinovich igor (9 Ergebnisse)

Zustand: New. pp. 164 52:B&W 6.14 x 9.21in or 234 x 156mm (Royal 8vo) Case Laminate on White w/Gloss Lam.

Zustand: New. This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide.

Hardcover/Pappeinband. Zustand: Sehr gut. 148 Seiten. Sehr gut erhalten. 9781852338886 Sprache: Englisch Gewicht in Gramm: 1200.

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Hardcover. Zustand: Brand New. 1st edition. 148 pages. 9.25x6.25x0.50 inches. In Stock.

Zustand: New. An up-to-date, concise and clearly organised treatment of an area that is growing in interestThe first book to illustrate variational methods and potential methods side by side in the study of dynamic problems in elasticity theoryDesigned t.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Variational and boundary integral equation techniques are two of the most useful methods for solving time-dependent problems described by systems of equations of the form 2 u = Au, 2 t 2 where u = u(x,t) is a vector-valued function, x is a point in a domain inR or 3 R,and A is a linear elliptic di erential operator. To facilitate a better und- standing of these two types of methods, below we propose to illustrate their mechanisms in action on a speci c mathematical model rather than in a more impersonal abstract setting. For this purpose, we have chosen the hyperbolic system of partial di erential equations governing the nonstationary bending of elastic plates with transverse shear deformation. The reason for our choice is twofold. On the one hand, in a certain sense this is a 'hybrid' system, c- sistingofthreeequationsforthreeunknownfunctionsinonlytwoindependent variables, which makes it more unusual-and thereby more interesting to the analyst-than other systems arising in solid mechanics. On the other hand, this particular plate model has received very little attention compared to the so-called classical one, based on Kirchho 's simplifying hypotheses, although, as acknowledged by practitioners, it represents a substantial re nement of the latter and therefore needs a rigorous discussion of the existence, uniqueness, and continuous dependence of its solution on the data before any construction of numerical approximation algorithms can be contemplated.

Buch. Zustand: Neu. Neuware - The book presents variational methods combined with boundary integral equation techniques in application to a model of dynamic bending of plates with transverse shear deformation. The emphasis is on the rigorous mathematical investigation of the model, which covers a complete study of the well-posedness of a number of initial-boundary value problems, their reduction to time-dependent boundary integral equations by means of suitable potential representations, and the solution of the latter in Sobolev spaces.The analysis, performed in spaces of distributions, is applicable to a wide variety of data with less smoothness than that required in the corresponding classical problems, and is very useful for constructing error estimates in numerical computations. This illustrative model was chosen because of its practical importance and some unusual mathematical features, but the solution technique can easily be adapted to many other hyperbolic systems of partial differential equations arising in continuum mechanics.