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Homogenous And Non Homogenous Boundary Value Problems For First Order Linear Hyperbolic Systems Arising In Fluid Mechanics
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Book Synopsis HOMOGENOUS AND NON-HOMOGENOUS BOUNDARY VALUE PROBLEMS FOR FIRST ORDER LINEAR HYPERBOLIC SYSTEMS ARISING IN FLUID-MECHANICS by : Hugo Beirão da Veiga
Download or read book HOMOGENOUS AND NON-HOMOGENOUS BOUNDARY VALUE PROBLEMS FOR FIRST ORDER LINEAR HYPERBOLIC SYSTEMS ARISING IN FLUID-MECHANICS written by Hugo Beirão da Veiga and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Homogeneous and Non-Homogeneous Boundary Value Problems for First Order Linear Hyperbolic Systems Arising in Fluid Mechanics by : H. Beirão da Veiga
Download or read book Homogeneous and Non-Homogeneous Boundary Value Problems for First Order Linear Hyperbolic Systems Arising in Fluid Mechanics written by H. Beirão da Veiga and published by . This book was released on 1982 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: We prove the existence and the uniqueness of differentiable and strong solutions for a class of boundary value problems for first order linear hyperbolic systems arising from the dynamics of compressible non-viscous fluids. In particular necessary and sufficient conditions for the existence of solutions for the non-homogeneous problem are studied; strong solutions are obtained without this supplementary condition. In particular we don't assume the boundary space to be maximal non-positive and the boundary matrix to be of constant rank on the boundary. In this paper we prove directly the existence of differentiable solutions without resort to weak or strong solutions. An essential tool will be the introduction of a space Z of regular functions verifying not only the assigned boundary conditions but also some suitable complementary boundary conditions.
Book Synopsis Homogeneous and Non-Homogeneous Boundary Value Problems for First Order Linear Hyperbolic Systems Arising in Fluid-Mechanics by : H. Beirao DA Veiga
Download or read book Homogeneous and Non-Homogeneous Boundary Value Problems for First Order Linear Hyperbolic Systems Arising in Fluid-Mechanics written by H. Beirao DA Veiga and published by . This book was released on 1981 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report seeks to prove the existence and the uniqueness of classical and strong solutions for a class of non-homogeneous boundary value problems for first order linear hyperbolic systems arising from the dynamics of compressible non-viscous fluids. The method provides the existence of classical solutions without resorting to strong or weak solutions. A necessary and sufficient condition for the existence of solutions for the non-homogeneous problem is proved. It consists of an explicit relationship between the boundary values of u and those of the data f. Strong solutions are obtained without this supplementary assumption.
Book Synopsis Homogeneous and Non-hemogeneous Boundary Value Problems for First Order Linear Hyperbolic Systems Arising in Fluid-mechanics by : H. Beirão da Veiga
Download or read book Homogeneous and Non-hemogeneous Boundary Value Problems for First Order Linear Hyperbolic Systems Arising in Fluid-mechanics written by H. Beirão da Veiga and published by . This book was released on 1983 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Homogeneous and Non-homogeneous Boundary Value Problems for First Order Linear Hyperbolic Systems Arising in Fluid-mechanics by : H. Beirão da Veiga
Download or read book Homogeneous and Non-homogeneous Boundary Value Problems for First Order Linear Hyperbolic Systems Arising in Fluid-mechanics written by H. Beirão da Veiga and published by . This book was released on 1983 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Topics in Fluid Mechanics: Volume 2: Compressible Models by : Pierre-Louis Lions
Download or read book Mathematical Topics in Fluid Mechanics: Volume 2: Compressible Models written by Pierre-Louis Lions and published by Oxford University Press. This book was released on 1996 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fluid mechanics models consist of systems of nonlinear partial differential equations for which, despite a long history of important mathematical contributions, no complete mathematical understanding is available. The second volume of this book describes compressible fluid-mechanics models. The book contains entirely new material on a subject known to be rather difficult and important for applications (compressible flows). It is probably a unique effort on the mathematical problems associated with the compressible Navier-Stokes equations, written by one of the world's leading experts on nonlinear partial differential equations. Professor P.L. Lions won the Fields Medal in 1994.
Download or read book Technical Abstract Bulletin written by and published by . This book was released on 1982 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Initial-Boundary Value Problems and the Navier-Stokes Equations by :
Download or read book Initial-Boundary Value Problems and the Navier-Stokes Equations written by and published by Academic Press. This book was released on 1989-06-01 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: Initial-Boundary Value Problems and the Navier-Stokes Equations
Book Synopsis Reviews in Partial Differential Equations, 1980-86, as Printed in Mathematical Reviews by :
Download or read book Reviews in Partial Differential Equations, 1980-86, as Printed in Mathematical Reviews written by and published by . This book was released on 1988 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Non-Homogeneous Boundary Value Problems and Applications by : Jacques Louis Lions
Download or read book Non-Homogeneous Boundary Value Problems and Applications written by Jacques Louis Lions and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. We describe, at first in a very formaI manner, our essential aim. n Let m be an op en subset of R , with boundary am. In m and on am we introduce, respectively, linear differential operators P and Qj' 0 ~ i ~ 'V. By "non-homogeneous boundary value problem" we mean a problem of the following type: let f and gj' 0 ~ i ~ 'v, be given in function space s F and G , F being a space" on m" and the G/ s spaces" on am" ; j we seek u in a function space u/t "on m" satisfying (1) Pu = f in m, (2) Qju = gj on am, 0 ~ i ~ 'v«])). Qj may be identically zero on part of am, so that the number of boundary conditions may depend on the part of am considered 2. We take as "working hypothesis" that, for fEF and gjEG , j the problem (1), (2) admits a unique solution u E U/t, which depends 3 continuously on the data . But for alllinear probIems, there is a large number of choiees for the space s u/t and {F; G} (naturally linke d together). j Generally speaking, our aim is to determine families of spaces 'ft and {F; G}, associated in a "natural" way with problem (1), (2) and con j venient for applications, and also all possible choiees for u/t and {F; G} j in these families.
Book Synopsis Government Reports Announcements & Index by :
Download or read book Government Reports Announcements & Index written by and published by . This book was released on 1982 with total page 1014 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Boundary-value Problems with Free Boundaries for Elliptic Systems of Equations by : Valentin Nikolaevich Monakhov
Download or read book Boundary-value Problems with Free Boundaries for Elliptic Systems of Equations written by Valentin Nikolaevich Monakhov and published by American Mathematical Soc.. This book was released on 1983 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with certain classes of nonlinear problems for elliptic systems of partial differential equations: boundary-value problems with free boundaries. The first part has to do with the general theory of boundary-value problems for analytic functions and its applications to hydrodynamics. The second presents the theory of quasiconformal mappings, along with the theory of boundary-value problems for elliptic systems of equations and applications of it to problems in the mechanics of continuous media with free boundaries: problems in subsonic gas dynamics, filtration theory, and problems in elastico-plasticity.
Book Synopsis Publications of the Mathematics Research Center, July 1, 1975 Thru December 31, 1985 by : University of Wisconsin--Madison. Mathematics Research Center
Download or read book Publications of the Mathematics Research Center, July 1, 1975 Thru December 31, 1985 written by University of Wisconsin--Madison. Mathematics Research Center and published by . This book was released on 1985 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Partial Differential Equations by : Peter J. Olver
Download or read book Introduction to Partial Differential Equations written by Peter J. Olver and published by Springer Science & Business Media. This book was released on 2013-11-08 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanced undergraduates and beginning graduate students in mathematics, science, engineering, and elsewhere. The exposition carefully balances solution techniques, mathematical rigor, and significant applications, all illustrated by numerous examples. Extensive exercise sets appear at the end of almost every subsection, and include straightforward computational problems to develop and reinforce new techniques and results, details on theoretical developments and proofs, challenging projects both computational and conceptual, and supplementary material that motivates the student to delve further into the subject. No previous experience with the subject of partial differential equations or Fourier theory is assumed, the main prerequisites being undergraduate calculus, both one- and multi-variable, ordinary differential equations, and basic linear algebra. While the classical topics of separation of variables, Fourier analysis, boundary value problems, Green's functions, and special functions continue to form the core of an introductory course, the inclusion of nonlinear equations, shock wave dynamics, symmetry and similarity, the Maximum Principle, financial models, dispersion and solutions, Huygens' Principle, quantum mechanical systems, and more make this text well attuned to recent developments and trends in this active field of contemporary research. Numerical approximation schemes are an important component of any introductory course, and the text covers the two most basic approaches: finite differences and finite elements.
Book Synopsis Government Reports Annual Index by :
Download or read book Government Reports Annual Index written by and published by . This book was released on 1982 with total page 1008 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sections 1-2. Keyword Index.--Section 3. Personal author index.--Section 4. Corporate author index.-- Section 5. Contract/grant number index, NTIS order/report number index 1-E.--Section 6. NTIS order/report number index F-Z.
Book Synopsis Government Reports Annual Index: Keyword A-L by :
Download or read book Government Reports Annual Index: Keyword A-L written by and published by . This book was released on 1984 with total page 1528 pages. Available in PDF, EPUB and Kindle. Book excerpt:
