Author: Lipman BersPublisher:
ISBN:
Category : Science
Languages : en
Pages : 192
Book Description
Mathematical Aspects of Subsonic and Transonic Gas Dynamics
Author: Lipman BersPublisher: Courier Dover Publications
ISBN: 0486816338
Category : Science
Languages : en
Pages : 178
Book Description
Concise treatment by prominent mathematician covers differential equations of potential gas flow, mathematical background of subsonic flow theory, behavior of flow at infinity, flows in channels and with free boundary, more. 1958 edition.
Mathematical Aspects of Subsonic and Transonic Gas Dynamics, III
Author: Lipman BersPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 164
Book Description
Seminar on Mathematical Aspects of Subsonic and Transonic Gas Dynamics
Author: Lipman BersMathematical Aspects of Subsonic and Trasonic gas Dynamics
Author: Lipman BersMathematical Aspects of Subsonc and Transonic Gas Dynamics
Author: Lipman BersMathematical Aspects of Sulisonic and Transonic Gas Dynamics
Author: Lipman BersHyperbolic Problems: Theory, Numerics and Applications
Author: Eitan TadmorPublisher: American Mathematical Soc.
ISBN: 0821847295
Category : Mathematics
Languages : en
Pages : 361
Book Description
The International Conference on Hyperbolic Problems: Theory, Numerics and Applications, 'HYP2008', was held at the University of Maryland from June 9-13, 2008. This book, the first in a two-part volume, contains nineteen papers based on plenary and invited talks presented at the conference.
Elliptic–Hyperbolic Partial Differential Equations
Author: Thomas H. OtwayPublisher: Springer
ISBN: 3319197614
Category : Mathematics
Languages : en
Pages : 134
Book Description
This text is a concise introduction to the partial differential equations which change from elliptic to hyperbolic type across a smooth hypersurface of their domain. These are becoming increasingly important in diverse sub-fields of both applied mathematics and engineering, for example: • The heating of fusion plasmas by electromagnetic waves • The behaviour of light near a caustic • Extremal surfaces in the space of special relativity • The formation of rapids; transonic and multiphase fluid flow • The dynamics of certain models for elastic structures • The shape of industrial surfaces such as windshields and airfoils • Pathologies of traffic flow • Harmonic fields in extended projective space They also arise in models for the early universe, for cosmic acceleration, and for possible violation of causality in the interiors of certain compact stars. Within the past 25 years, they have become central to the isometric embedding of Riemannian manifolds and the prescription of Gauss curvature for surfaces: topics in pure mathematics which themselves have important applications. Elliptic−Hyperbolic Partial Differential Equations is derived from a mini-course given at the ICMS Workshop on Differential Geometry and Continuum Mechanics held in Edinburgh, Scotland in June 2013. The focus on geometry in that meeting is reflected in these notes, along with the focus on quasilinear equations. In the spirit of the ICMS workshop, this course is addressed both to applied mathematicians and to mathematically-oriented engineers. The emphasis is on very recent applications and methods, the majority of which have not previously appeared in book form.
Geometric Analysis of Quasilinear Inequalities on Complete Manifolds
Author: Bruno BianchiniPublisher: Springer Nature
ISBN: 3030627047
Category : Mathematics
Languages : en
Pages : 291
Book Description
This book demonstrates the influence of geometry on the qualitative behaviour of solutions of quasilinear PDEs on Riemannian manifolds. Motivated by examples arising, among others, from the theory of submanifolds, the authors study classes of coercive elliptic differential inequalities on domains of a manifold M with very general nonlinearities depending on the variable x, on the solution u and on its gradient. The book highlights the mean curvature operator and its variants, and investigates the validity of strong maximum principles, compact support principles and Liouville type theorems. In particular, it identifies sharp thresholds involving curvatures or volume growth of geodesic balls in M to guarantee the above properties under appropriate Keller-Osserman type conditions, which are investigated in detail throughout the book, and discusses the geometric reasons behind the existence of such thresholds. Further, the book also provides a unified review of recent results in the literature, and creates a bridge with geometry by studying the validity of weak and strong maximum principles at infinity, in the spirit of Omori-Yau’s Hessian and Laplacian principles and subsequent improvements.
Fluid Dynamics I / Strömungsmechanik I
Author: C.A. TruesdellPublisher: Springer Science & Business Media
ISBN: 3642459145
Category : Science
Languages : en
Pages : 477
Book Description
343 Whilst this may be so it is also true that this in itself is not sufficient to deter mine it completely. In fact the extent of the dead air region and the behaviour of the shear layer are also of prime importance and in short a unified treatment comprising external flow, boundary layer, shear layer and dead air region becomes necessary to complete the investigation. This would take us outside the scope of the present article and for the substantial progress that has been made towards such a treatment the reader is referred to a paper by HOLDER and GADD 1 and its comprehensive list of references. v. Heat transfer in incompressible boundary layers. 25. Introduction. The term fluid includes gases and liquids. Both gases and liquids are to some extent compressible but in many problems of fluid flow the density changes occurring are small. When they are small enough to be negligible we can regard the flow as incompressible. In Chap. IV we have established the equations for compressible flow of gases and these can of course be used to deter mine when density changes in a gas flow are in fact negligible. Broadly speaking this will be so when the temperature changes as determined by the energy equation are small enough.