4 edition of **Mathematical theory of hemivariational inequalities and applications** found in the catalog.

- 277 Want to read
- 17 Currently reading

Published
**1995**
by M. Dekker in New York
.

Written in English

- Hemivariational inequalities.,
- Engineering mathematics.

**Edition Notes**

Includes bibliographical references (p. 251-264) and index.

Statement | Z. Naniewicz, P.D. Panagiotopoulos. |

Series | Monographs and textbooks in pure and applied mathematics ;, 188 |

Contributions | Panagiotopoulos, P. D., 1950- |

Classifications | |
---|---|

LC Classifications | QA316 .N36 1995 |

The Physical Object | |

Pagination | xvi, 267 p. : |

Number of Pages | 267 |

ID Numbers | |

Open Library | OL1110005M |

ISBN 10 | 0824793307 |

LC Control Number | 94035419 |

In this paper we study a new class of abstract evolution first order hemivariational inequalities which involves constraints and history-dependent operators. First, we prove the existence and uniqueness of solution by using a mixed equilibrium formulation with suitable selected bifunctions combined with a fixed-point principle for history-dependent operators. Advances in Variational and Hemivariational Inequalities: Theory, Numerical Analysis, and Applications Weimin Han, Stanisław Migórski, Mircea Sofonea (eds.) This volume is comprised of articles providing new results on variational and hemivariational inequalities with applications to Contact Mechanics unavailable from other sources.

Naniewicz, Z.; Panagiotopoulos, P.D.: Mathematical Theory of Hemivariational Inequalities and Applications. New York etc., Marcel Dekker, Inc. Author: F. Schuricht. tions (superpotentials). Through the formulation of hemivariational inequalities, problems involving nonmonotone and multivalued constitutive laws and boundary conditions can be treated successfully mathematically and numerically. The theory of hemivariational inequalities and their applications was developed in several.

Full Description: "Intends to introduce and exchange topics on the areas of inequality theory and their applications dealing in pure and applied mathematics. Inequality Theory and Applications well-written books can turn you into something different from others, because the article will keep you from lazing around and maintaining your current quality, allowing you to feel relaxed and let your. Numerical analysis of hemivariational inequalities in contact mechanics Weimin Han Program in Applied Mathematical and Computational Sciences (AMCS), and Department of Mathematics, University of Iowa, Iowa City, IA , USA E-mail: [email protected] Mircea Sofonea Laboratoire de Math ematiques et Physique, Universit e de Perpignan Via Domitia.

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Mathematical Theory of Hemivariational Inequalities and Applications (Chapman & Hall/CRC Pure and Applied Mathematics) 1st Edition. by Zdzistaw Naniewicz (Author), P. Panagiotopoulos (Author) out of 5 stars 1 rating. ISBN ISBN Why is ISBN important.

Cited by: Book Description. Gives a complete and rigorous presentation of the mathematical study of the expressions - hemivariational inequalities - arising in problems that involve nonconvex, nonsmooth energy functions. A theory of the existence of solutions for inequality problems involving monconvexity and nonsmoothness is established.

The work can be seen as a book of applied nonlinear analysis entirely devoted to the study of inequality problems, i.e. variational inequalities and hemivariational inequalities in mathematical models and their corresponding applications to unilateral : D. Goeleven, Dumitru Motreanu.

Presents a mathematical study of the expressions - hemivariational inequalities - arising in problems that involve nonconvex, nonsmooth energy functions. Rating: (not yet rated) 0 with reviews - Be the. A theory of the existence of solutions for inequality problems involving monconvexity and nonsmoothness is established.

Gives a complete and rigorous presentation of the mathematical study of the expressions - hemivariational inequalities - arising in problems that involve nonconvex, nonsmooth energy functions. Boundary value problems which have variational expressions in form of inequal ities can be divided into two main classes.

The class of boundary value prob lems (BVPs) leading to variational inequalities and the class of BVPs leading to hemivariational by: This volume is comprised of articles providing new results on variational and hemivariational inequalities with applications to Contact Mechanics unavailable from other sources.

The book will be of particular interest to graduate students and young researchers in applied and pure mathematics, civil, aeronautical and mechanical engineering, and can be used as supplementary reading material for advanced specialized courses in mathematical modeling.

Introduction. The aim of the present book is the formulation, mathematical study and numerical treatment of static and dynamic problems in mechanics and engineering sciences involving nonconvex and nonsmooth energy functions, or nonmonotone and multivalued stress-strain laws.

Such problems lead to a new type of variational forms, the hemivariational inequalities, which also lead to. This book presents new results concerning the xed-point theory, the study of variational-hemivariational inequalities and the study of static, quasistatic and dynamic frictional and frictionless contact problems.

It provides an example of the succesful use of nonlinear functional analysis in the mathematical modeling in solid and contact mechanics.

The work can be seen as a book of applied nonlinear analysis entirely devoted to the study of inequality problems, i.e. variational inequalities and hemivariational inequalities in mathematical models and their corresponding applications to unilateral mechanics.

Genre/Form: Electronic books: Additional Physical Format: Print version: Naniewicz, Z., Mathematical theory of hemivariational inequalities and applications. Nonlinear Inclusions and Hemivariational Inequalities presents a broad insight into the theory of inclusions, hemivariational inequalities, and their applications to Contact Mechanics.

The content of this volume gathers recent results which are published here for the first time and gives a largely self-contained and rigorous introduction to mathematical analysis of contact by: We consider a class of distributed parameter optimal control problems for the boundary value problem for the stationary Navier--Stokes equation with a subdifferential boundary condition in a bounded domain.

The weak formulation of the boundary value problem is a hemivariational inequality associated with a nonconvex nonsmooth locally Lipschitz by: 2. By means of them, problems with nonmonotone, possibly multivalued, constitutive laws can be formulated, mathematically analyzed and finally numerically solved.

The present book gives a rigorous analysis of finite element approximation for a class of hemivariational inequalities of elliptic and Cited by: () Numerical analysis of history-dependent hemivariational inequalities and applications to viscoelastic contact problems with normal penetration.

Computers & Mathematics with Applications. () Continuous Dependence and Optimal Control for a Class of Variational–Hemivariational by: Hemivariational inequalities are inequality problems characterized by nonconvexity and nonsmoothness, which may arise in engineering, economics, contact mechanics, etc.

Techniques from nonsmooth analysis are applied to deal with difficulties caused by the nonsmoothness, which plays an important role in the mathematical theory of hemivariational Cited by: 2.

Hemivariational inequalities are an effective tool to treat problems with nonmonotonicity and multivaluedness. For a great amount of examples of applications we refer to Naniewicz and Panagiotopoulos and Panagiotopoulos.

Parallel to the theory of hemivariational inequalities, the theory of hysteresis has been by: 7. Gives a complete and rigorous presentation of the Mathematical study of the expressions - hemivariational inequalities - arising in problems that involve nonconvex, nonsmooth energy functions.

A theory of the existence of solutions for inequality problems involving monconvexity and nonsmoothness is established. Variational and hemivariational inequalities are widely used in the study of many nonlinear boundary value problems and have a large number of applications in Contact Mechanics and Engineering see, for instance.

The theory of variational inequalities was developed in early sixty's, by using arguments of monotonicity and convexity Cited by: Hemivariational inequalities represent an important class of problems in nonsmooth and nonconvex mechanics.

By means of them, problems with nonmonotone, possibly multivalued, constitutive laws can be formulated, mathematically analyzed and finally numerically solved.

The present book gives a. The mathematical theory of hemivariational inequalities, as well as their applications in Mechanics, Engineering or Economics were introduced and developed by P.D. Panagiotopoulos [19]-[22] in the.The book is self-contained, and all necessary results from these disciplines are summarized in the introductory chapter.

Audience: Engineers and applied mathematicians at universities and working in industry. Also graduate-level students in advanced nonlinear computational mechanics, mathematics of finite elements and approximation theory.In this paper we consider nonlinear hemivariational inequalities involving the p-Laplacian at prove the existence of nontrivial solutions.

Our approach is variational based on the critical point theory for nonsmooth, locally Lipschitz functionals due to K. D. by: