{"title":"North-Holland Series In Applied Mathematics And Mechanics","description":"\u003cp\u003eDive into advanced mathematical methods and mechanics with this esteemed series. Ideal for researchers and students alike, discover rigorous explorations of theory and application across a spectrum of topics.\u003c\/p\u003e","products":[{"product_id":"classical-stefan-problem-book-sc-gupta-department-of-mathema-9780444510860","title":"The Classical Stefan Problem","description":"This volume emphasises studies related to classical Stefan problems. The term \"Stefan problem\" is generally used for heat transfer problems with phase-changes such as from the liquid to the solid. Stefan problems have some characteristics that are typical of them, but certain problems arising in fields such as mathematical physics and engineering also exhibit characteristics similar to them. The term ``classical\" distinguishes the formulation of these problems from their weak formulation, in which the solution need not possess classical derivatives. Under suitable assumptions, a weak solution could be as good as a classical solution. In hyperbolic Stefan problems, the characteristic features of Stefan problems are present but unlike in Stefan problems, discontinuous solutions are allowed because of the hyperbolic nature of the heat equation. The numerical solutions of inverse Stefan problems, and the analysis of direct Stefan problems are so integrated that it is difficult to discuss one without referring to the other. So no strict line of demarcation can be identified between a classical Stefan problem and other similar problems. On the other hand, including every related problem in the domain of classical Stefan problem would require several volumes for their description. A suitable compromise has to be made. The basic concepts, modelling, and analysis of the classical Stefan problems have been extensively investigated and there seems to be a need to report the results at one place. This book attempts to answer that need.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ GARDNERS","offer_id":49729222279441,"sku":"NGR9780444510860","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52484291789073,"sku":"NLS9780444510860","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0444510869.jpg?v=1751040382"},{"product_id":"stability-of-parallel-flows-book-r-betchov-9780120937509","title":"Stability of Parallel Flows","description":null,"brand":"WoB","offers":[{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":49800806596881,"sku":"CIN0120937506VG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0120937506.jpg?v=1751037108"},{"product_id":"micromechanics-overall-properties-of-heterogeneous-materials-book-s-nemat-nasser-la-jolla-ca-usa-9780444500847","title":"Micromechanics: Overall Properties of Heterogeneous Materials","description":"In this second edition several new topics of technological interest have been added. These include: coupled mechanical and nonmechanical overall properties of heterogeneous piezoelectric materials, new upper and lower bounds for these coupled properties, a systematic comparison between the average-field theory and the results obtained using multi-scale perturbation theory, an account of the uniform-field theory, improveable bounds on overall moduli of heterogeneous materials which remain finite even when isolated cavities and rigid inclusions are present, and a brief account of a fundamental duality principle in anisotropic elasticity. In addition, better explanations of a number of topics are given, more recent references are added, the Subject Index has been expanded and printing and typographical errors have been corrected. The material is organized into two parts preceded by a précis. Part 1 consists of four chapters which are organized into fourteen sections and four appendixes. It deals with materials with microdefects such as cavities, cracks, and inclusions, as well as with elastic composites. Part 2 consists of two chapters which are divided into seven sections. It provides an introduction to the theory of linear elasticity, added to make the book self-contained, since linear elasticity serves as the basis of the development of small-deformation micromechanics. Part 2 mainly contains part of the lecture notes on elasticity which the first author wrote in the late 1960's. The material is mostly standard, given for background information.","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50352473866513,"sku":"CIN0444500847G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52150864707857,"sku":"NLS9780444500847","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0444500847.jpg?v=1751357757"},{"product_id":"wave-propagation-in-elastic-solids-book-jan-achenbach-9780720403251","title":"Wave Propagation in Elastic Solids","description":"The propagation of mechanical disturbances in solids is of interest in many branches of the physical scienses and engineering. This book aims to present an account of the theory of wave propagation in elastic solids. The material is arranged to present an exposition of the basic concepts of mechanical wave propagation within a one-dimensional setting and a discussion of formal aspects of elastodynamic theory in three dimensions, followed by chapters expounding on typical wave propagation phenomena, such as radiation, reflection, refraction, propagation in waveguides, and diffraction. The treatment necessarily involves considerable mathematical analysis. The pertinent mathematical techniques are, however, discussed at some length.","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":50359906566417,"sku":"CIN0720403251G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":50887018971409,"sku":"GOR013056167","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":51295964201233,"sku":"CIN0720403251VG","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52425420964113,"sku":"NLS9780720403251","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0720403251.jpg?v=1751231353"}],"url":"https:\/\/www.worldofbooks.com\/collections\/north-holland-series-in-applied-mathematics-and-mechanics-book-series.oembed","provider":"World of Books ","version":"1.0","type":"link"}