This book presents some mathematical methods used in the study of initial and boundary problems for Bingham fluids and rate-depedent viscoplasticity. Existence and uniqueness results are presented and the behaviour of the solution with respect to the data is also studied. For some problems, the numerical approximation of the solution is also given and numerical results are presented. Elliptic variational inequalities, convex functions, monotone operators, semigroups of operators, and nonlinear evolution equations are used as mathematical instruments. The book presents a sudy of some problems of viscoplasticity using various and different mathematical methods, the mathematical results are interpreted from a mathematical point of view, and the theory is developed to deal with numerical results from possible applications in industry and technology.
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The book offers a nice and modern presentation of some mathematical and numerical methods applied in viscoplasticity.....The book can be recommended to researchers and students interested in mathematical and numerical problems of nonlinear mechanics and their applications. (European Mathematical Society Newsletter, No. 11, 1994)
a very successful piece of work ... It may be of interest to a wide spectrum of readers, starting from students interested in applied mathematics and engineering, and researchers in various applied mathematics fields. It is recommended to all libraries of universities, possessing an engineering and/or mathematical department. (N. Cristescu, Zbl. Math. 787)
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