Providing a toolbox for mathematical equations, this volume presents various approaches to the analysis of nonlinear models. Topics include phase changes, diffusion of electromagnetic, acoustic and seismoacoustic waves, as well as quantum mechanical effects.
Providing a toolbox for mathematical equations, this volume presents various approaches to the analysis of nonlinear models. Topics include phase chan...
This volume provides a posteriori error analysis for mathematical idealizations in modeling boundary value problems, especially those arising in mechanical applications, and for numerical approximations of numerous nonlinear variational problems. The author avoids giving the results in the most general, abstract form so that it is easier for the reader to understand more clearly the essential ideas involved. Many examples are included to show the usefulness of the derived error estimates.
This volume provides a posteriori error analysis for mathematical idealizations in modeling boundary value problems, especially those arising in mecha...
On average, 60% of the world's people and cargo is transported by vehicle that move on rubber tires over roadways of various construction, composition, and quality. The number of such vehicles, including automobiles and all manner of trucks, increases continually with a growing positive impact on accessibility and a growing negative impact on interactions among humans and their relationship to the surrounding environment. This multiplicity of vehicles, through their physical impact and their emissions, is responsible for, among other negative results: waste of energy, pollution through...
On average, 60% of the world's people and cargo is transported by vehicle that move on rubber tires over roadways of various construction, composition...
Inthecourseofthelast?ftyyears, developmentsinnonsmoothana- sisandnonsmoothmechanicshaveoftenbeencloselylinked. Thepresent book acts as an illustration of this. Its objective is two-fold. It is of course intended to help to di?use the recent results obtained by various renownedspecialists. ButthereisanequaldesiretopayhomagetoJean Jacques Moreau, who is undoubtedly the most emblematic ?gure in the correlated, not to say dual, advances in these two ?elds. Jean Jacques Moreau appears as a rightful heir to the founders of di?erential calculus and mechanics through the depth of his thinking in the...
Inthecourseofthelast?ftyyears, developmentsinnonsmoothana- sisandnonsmoothmechanicshaveoftenbeencloselylinked. Thepresent book acts as an illustration...
Mechanics and mathematics have been complementary partners since Newton's time and the history of science shows much evidence of the beneficial influence of these disciplines on each other. Driven by increasingly elaborate modern technological applications the symbiotic relationship between mathematics and mechanics is continually growing. However, the increasingly large number of specialist journals has generated a duality gap between the two partners, and this gap is growing wider. Advances in Mechanics and Mathematics (AMMA) is intended to bridge the gap by providing...
Mechanics and mathematics have been complementary partners since Newton's time and the history of science shows much evidence of the beneficial influe...
Convective flow in the liquid phase is always present in a realistic process of freezing and melting and may significantly affect the dynamics and results of the process. The study of the interplay of growth and convection flow during the solidification has been an important subject in the broad fields of materials science, condensed matter physics, fluid physics, micro-gravity science, etc. The present book is concerned with the dynamics of free dendritic growth with convective flow in the melt. It systematically presents the results obtained in terms of a unified asymptotic approach in the...
Convective flow in the liquid phase is always present in a realistic process of freezing and melting and may significantly affect the dynamics and res...
The notion dealt with in this volume of proceedings is often traced back to the late 19th-century writings of a rather obscure scientist, C. V. Burton. A probable reason for this is that the painstaking de ciphering of this author's paper in the Philosophical Magazine (Vol. 33, pp. 191-204, 1891) seems to reveal a notion that was introduced in math ematical form much later, that of local structural rearrangement. This notion obviously takes place on the material manifold of modern con tinuum mechanics. It is more or less clear that seemingly different phe nomena - phase transition, local...
The notion dealt with in this volume of proceedings is often traced back to the late 19th-century writings of a rather obscure scientist, C. V. Burton...
In this work, methods of analysis and models of contacting systems dynamics, including heat generation and wear exhibited by such systems, are presented. It should be emphasised that the methods and mathematical models of contacting systems exhibited by rigid/elastic bodies and heat/wear processes have been so far applied separately. Tribological processes occurring on a contact surface were not taken into consideration in the analysis of the dynamic rigid or elastic body models. On the other hand, most of the introduced models of bodies in contact that took tribological e?ects into...
In this work, methods of analysis and models of contacting systems dynamics, including heat generation and wear exhibited by such systems, are present...
Plasticity and Geotechnics is the first attempt to summarize and present, in one volume, the major developments achieved to date in the field of plasticity theory for geotechnical materials and its applications to geotechnical analysis and design. The author believes that there is an urgent need for the geotechnical and solid mechanics community to have a unified presentation of plasticity theory and its application to geotechnical engineering.
In its thorough, comprehensive treatment of the subject, the book covers classical, recent, and modern developments of appropriate...
Plasticity and Geotechnics is the first attempt to summarize and present, in one volume, the major developments achieved to date in the field of pl...
Markov decision processes (MDPs), also called stochastic dynamic programming, were first studied in the 1960s. MDPs can be used to model and solve dynamic decision-making problems that are multi-period and occur in stochastic circumstances. There are three basic branches in MDPs: discrete-time MDPs, continuous-time MDPs and semi-Markov decision processes. Starting from these three branches, many generalized MDPs models have been applied to various practical problems. These models include partially observable MDPs, adaptive MDPs, MDPs in stochastic environments, and MDPs with multiple...
Markov decision processes (MDPs), also called stochastic dynamic programming, were first studied in the 1960s. MDPs can be used to model and solve ...
