Introduction to the mathematical theory of compressible flow /
نام عام مواد
[Book]
نام نخستين پديدآور
A. Novotný, I. Straéskraba.
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
New York :
نام ناشر، پخش کننده و غيره
Oxford University Press,
تاریخ نشرو بخش و غیره
2004.
مشخصات ظاهری
نام خاص و کميت اثر
1 online resource (xx, 506 pages).
فروست
عنوان فروست
Oxford lecture series in mathematics and its applications ;
مشخصه جلد
27
یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references and index.
یادداشتهای مربوط به مندرجات
متن يادداشت
1 Fundamental concepts and equations -- 1.1 Some mathematical concepts and notation -- 1.1.1 Basic notation -- 1.1.2 Some useful inequalities in IR[sup(N)] -- 1.1.3 Differential operators -- 1.1.4 Gronwall's lemma -- 1.1.5 Implicit functions -- 1.1.6 Transformations of Cartesian coordinates -- 1.1.7 Hölder-continuous and Lipschitz functions -- 1.1.8 The symbols "o" and "O" -- 1.1.9 Partitions of unity -- 1.1.10 Measure -- 1.1.11 Description of the boundary -- 1.1.12 Measure on the boundary of a domain -- 1.1.13 Classical Green's theorem -- 1.1.14 Lebesgue spaces.
متن يادداشت
1.1.15 Lebesgue's points -- 1.1.16 Absolutely continuous functions -- 1.1.17 Absolute continuity of integrals with respect to measurable subsets -- 1.1.18 Some theorems from integration theory -- 1.2 Governing equations and relations of gas dynamics -- 1.2.1 Description of the flow -- 1.2.2 The transport theorem -- 1.2.3 The continuity equation -- 1.2.4 The equations of motion -- 1.2.5 The law of conservation of the moment of momentum. Symmetry of the stress tensor -- 1.2.6 Inviscid and viscous fluids -- 1.2.7 The energy equation -- 1.2.8 The second law of thermodynamics and the entropy.
متن يادداشت
1.2.21 Initial and boundary conditions -- 1.3 Some advanced mathematical concepts and results -- 1.3.1 Spaces of Hölder-continuous and continuously diffrentiable functions -- 1.3.2 Young's functions, Jensen's inequality -- 1.3.3 Orlicz spaces -- 1.3.4 Distributions -- 1.3.5 Sobolev spaces -- 1.3.6 Homogeneous Sobolev spaces -- 1.3.7 Tempered distributions -- 1.3.8 Radon measure and representation of C[sub(B)]()* -- 1.3.9 Functions of bounded variation -- 1.3.10 Functions with values in Banach spaces -- 1.3.11 Sobolev imbeddings of abstract spaces -- 1.3.12 Some compactness results.
متن يادداشت
1.2.9 Principle of material frame indifference -- 1.2.10 Newtonian fluids -- 1.2.11 Conservative and dissipation form of the energy equation for Newtonian fluids -- 1.2.12 Entropy form of the energy equation for Newtonian fluids -- 1.2.13 Some consequences of the Clausius-Duhem inequality -- 1.2.14 Equations of state -- 1.2.15 Adiabatic flow of a perfect inviscid gas -- 1.2.16 Compressible Euler equations -- 1.2.17 Compressible Navier-Stokes equations for a perfect viscous gas -- 1.2.18 Barotropic flow of a viscous gas -- 1.2.19 Speed of sound -- 1.2.20 Simplified models.
متن يادداشت
1.4 Survey of concepts and results from functional analysis -- 1.4.1 Linear vector spaces -- 1.4.2 Topological linear spaces -- 1.4.3 Metric linear space -- 1.4.4 Normed linear space -- 1.4.5 Duals to Banach spaces and weak( -*) topologies -- 1.4.6 Riesz representation theorem -- 1.4.7 Operators -- 1.4.8 Elements of spectral theory -- 1.4.9 Lax-Milgram lemma -- 1.4.10 Imbeddings -- 1.4.11 Solution of nonlinear operator equations -- 2 Theoretical results for the Euler equations -- 2.1 Hyperbolic systems and the Euler equations -- 2.1.1 Zero-viscosity Burgers equation.
بدون عنوان
0
بدون عنوان
8
بدون عنوان
8
بدون عنوان
8
بدون عنوان
8
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
This book provides a rapid introduction to the mathematical theory of compressible flow, giving a comprehensive account of the field and all important results up to the present day. The book is written in a clear, instructive and self-contained manner and will be accessible to a wide audience. - ;This book provides a comprehensive introduction to the mathematical theory of compressible flow, describing both inviscid and viscous compressible flow, which are governed by the Euler and the Navier-Stokes equations respectively. The method of presentation allows readers with different backgrounds to.
ویراست دیگر از اثر در قالب دیگر رسانه
عنوان
Introduction to the mathematical theory of compressible flow.
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Compressibility.
موضوع مستند نشده
Fluid dynamics-- Mathematical models.
موضوع مستند نشده
Compressibility.
موضوع مستند نشده
Fluid dynamics-- Mathematical models.
موضوع مستند نشده
TECHNOLOGY & ENGINEERING-- Material Science.
مقوله موضوعی
موضوع مستند نشده
TEC-- 021000
رده بندی ديویی
شماره
620
.
1/064/015118
ويراست
22
رده بندی کنگره
شماره رده
QA911
نشانه اثر
.
N69
2004eb
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )