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wyszukanych pozycji: 8
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Approximation of Free-Discontinuity Problems
ISBN: 9783540647713 / Angielski / Miękka / 1998 / 154 str. Termin realizacji zamówienia: ok. 20 dni roboczych. Functionals involving both volume and surface energies have a number of applications ranging from Computer Vision to Fracture Mechanics. In order to tackle numerical and dynamical problems linked to such functionals many approximations by functionals defined on smooth functions have been proposed (using high-order singular perturbations, finite-difference or non-local energies, etc.) The purpose of this book is to present a global approach to these approximations using the theory of gamma-convergence and of special functions of bounded variation. The book is directed to PhD students and...
Functionals involving both volume and surface energies have a number of applications ranging from Computer Vision to Fracture Mechanics. In order to t...
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cena:
116,01 zł |
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Local Minimization, Variational Evolution and Γ-Convergence
ISBN: 9783319019819 / Angielski / Miękka / 2013 / 174 str. Termin realizacji zamówienia: ok. 20 dni roboczych. This book addresses new questions related to the asymptotic description of converging energies from the standpoint of local minimization and variational evolution. It explores the links between Gamma-limits, quasistatic evolution, gradient flows and stable points, raising new questions and proposing new techniques. These include the definition of effective energies that maintain the pattern of local minima, the introduction of notions of convergence of energies compatible with stable points, the computation of homogenized motions at critical time-scales through the definition of minimizing...
This book addresses new questions related to the asymptotic description of converging energies from the standpoint of local minimization and variation...
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cena:
147,16 zł |
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Gamma-Convergence for Beginners
ISBN: 9780198507840 / Angielski / Twarda / 2002 / 224 str. Termin realizacji zamówienia: ok. 30 dni roboczych. The theory of Gamma-convergence is commonly recognized as an ideal and flexible tool for the description of the asymptotic behaviour of variational problems. Its applications range from the mathematical analysis of composites to the theory of phase transitions, from image processing to fracture mechanics. This text, written by an expert in the field, provides a brief and simple introduction to this subject, based on the treatment of a series of fundamental problems that illustrate the main features and techniques of Gamma-convergence and at the same time provide a stimulating starting point...
The theory of Gamma-convergence is commonly recognized as an ideal and flexible tool for the description of the asymptotic behaviour of variational pr...
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cena:
746,24 zł |
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Geometric Flows on Planar Lattices
ISBN: 9783030699192 / Angielski / Miękka / 2022 / 146 str. Termin realizacji zamówienia: ok. 20 dni roboczych. |
cena:
464,77 zł |
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Geometric Flows on Planar Lattices
ISBN: 9783030699161 / Angielski / Twarda / 2021 / 134 str. Termin realizacji zamówienia: ok. 20 dni roboczych. |
cena:
464,77 zł |
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Homogenization of Multiple Integrals
ISBN: 9780198502463 / Angielski / Twarda / 1999 / 312 str. Termin realizacji zamówienia: ok. 30 dni roboczych. Homogenization theory describes the macroscopic properties of structures with fine microstructure. Its applications are diverse and include optimal design and the study of composites. The theory relies on the asymptotic analysis of fast-oscillating differential equations or integral functionals. This book is an introduction to the homogenization of nonlinear integral functionals. It emphasizes general results that do not rely on smoothness or convexity assumptions. The book presents a rigorous mathematical description of the overall properties of such functionals, with various applications...
Homogenization theory describes the macroscopic properties of structures with fine microstructure. Its applications are diverse and include optimal de...
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cena:
758,57 zł |
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Topics on Concentration Phenomena and Problems with Multiple Scales
ISBN: 9783540362418 / Angielski / Miękka / 2006 / 316 str. Termin realizacji zamówienia: ok. 20 dni roboczych. The study of variational problems showing multi-scale behaviour with oscillation or concentration phenomena is a challenging topic of very active research. This volume collects lecture notes on the asymptotic analysis of such problems when multi-scale behaviour derives from scale separation in the passage from atomistic systems to continuous functionals, from competition between bulk and surface energies, from various types of homogenization processes, and on concentration effects in Ginzburg-Landau energies and in subcritical growth problems. The study of variational problems showing multi-scale behaviour with oscillation or concentration phenomena is a challenging topic of very active r... |
cena:
193,63 zł |
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A Variational Theory of Convolution-Type Functionals
ISBN: 9789819906840 / Angielski Termin realizacji zamówienia: ok. 20 dni roboczych. This book provides a general treatment of a class of functionals modelled on convolution energies with kernel having finite p-moments. A general asymptotic analysis of such non-local functionals is performed, via Gamma-convergence, in order to show that the limit may be a local functional representable as an integral. Energies of this form are encountered in many different contexts and the interest in building up a general theory is also motivated by the multiple interests in applications (e.g. peridynamics theory, population dynamics phenomena and data science). The results obtained are...
This book provides a general treatment of a class of functionals modelled on convolution energies with kernel having finite p-moments. A general asymp...
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cena:
193,63 zł |
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