Euler

Yuen, Manwai: Some Problems on a Class of Fluid Dynamical Systems Euler-Poisson, Navier-Stokes-Poisson, Euler and Navier-Stokes Equations, VDM VERLAG DR. MÜLLER, Juli 2009, Besorgungstitel - vorauss. Lieferzeit 3-5 Tage. ISBN: 3639183576
In this monograph, we consider the solutions for a class of fluid dynamical systems, such as the isentropic Euler-Poisson, Navier-Stokes-Poisson, Navier-Stokes, Euler equations. As these systems share some similar mathematical structures, we would like to find the relationship between them, such as some blowup and stability phenomena. We have constructed the blowup (collapsing) solutions for the Euler-Poisson and Navier-Stokes-Poisson systems and the systems with frictional damping. In particular, the analytical blowup solutions for the 2 dimensional isothermal (=1) systems are the core result. Then, the blowup rates of the solutions are studied. The special solutions for the constant pressure systems are also covered. And some special blowup solutions for these systems in radially symmetry are given. After that, the general existence of blowup solutions for the Euler system with constant pressure is obtained. In addition, we present a special blowup solution for the Euler system. The stabilities of the Euler-Poisson equations are also considered. Some open problems are discussed on the 3 dimensional Euler-Poisson equations in the end.

NEUBUCH! 2009. 80 S. 220 mm x 150 mm x 5 mm

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Suisky, Dieter: Euler as Physicist, SPRINGER, BERLIN, Oktober 2010, Besorgungstitel - vorauss. Lieferzeit 3-5 Tage. ISBN: 3642094279
The subject of the book is the development of physics in the 18th century centered upon the fundamental contributions of Leonhard Euler to physics and mathematics. This is the first book devoted to Euler as a physicist. Classical mechanics are reconstructed in terms of the program initiated by Euler in 1736 and its completion over the following decades until 1760. The book examines how Euler coordinated his progress in mathematics with his progress in physics.

NEUBUCH! 2010. XXIII, 338 p. w. 16 figs. and 15 tables. 235 mm 235 mm x 155 mm x 19 mm

[SW: Euler, Leonhard]

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O'Mathuna, Diarmuid: Integrable Systems in Celestial Mechanics, Birkhäuser Boston, ISBN: 0817640967
neu-new Editorial Reviews\n\nProduct Description\n\nShows that exact solutions to the Kepler (two-body), the Euler (two-fixed center), and the Vinti (earth-satellite) problems can all be put in a form that admits the general representation of the orbits and follows a definite shared pattern\n\nIncludes a full analysis of the planar Euler problem via a clear generalization of the form of the solution in the Kepler case\n\nOriginal insights that have hithertofore not appeared in book form\n\nFrom the Back Cover\n\nThis work presents a unified treatment of three important integrable problems relevant to both Celestial and Quantum Mechanics. Under discussion are the Kepler (two-body) problem and the Euler (two-fixed center) problem, the latter being the more complex and more instructive, as it exhibits a richer and more varied solution structure. Further, because of the interesting investigations by the 20th century mathematical physicist J.P. Vinti, the Euler problem is now recognized as being intimately linked to the Vinti (Earth-satellite) problem.\n\nHere the analysis of these problems is shown to follow a definite shared pattern yielding exact forms for the solutions. A central feature is the detailed treatment of the planar Euler problem where the solutions are expressed in terms of Jacobian elliptic functions, yielding analytic representations for the orbits over the entire parameter range. This exhibits the rich and varied solution patterns that emerge in the Euler problem, which are illustrated in the appendix. A comparably detailed analysis is performed for the Earth-satellite (Vinti) problem.\n\nKey features:\n\n* Highlights shared features in the unified treatment of the Kepler, Euler, and Vinti problems\n\n* Raises challenges in analysis and astronomy, placing this trio of problems in the modern context\n\n* Includes a full analysis of the planar Euler problem\n\n* Highlights the complex and surprising orbit patterns that arise from the Euler problem\n\n* Provides a detailed analysis and solution for the Earth-satellite problem\n\nThe analysis and results in this work will be of interest to graduate students in mathematics and physics (including physical chemistry) and researchers concerned with the general areas of dynamical systems, statistical mechanics, and mathematical physics and has direct application to celestial mechanics, astronomy, orbital mechanics, and aerospace engineering. , ISBN-13: 9780817640965

Hardcover

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Euler, Leonhard: Leonhardi Euleri Opera Omnia. Series prima, secunda, tertia (Latin Edition). Edited by the Euler Committee of the Swiss Academy of Science in collaboration with numerous specialists. Basel: Birkhäuser (u.a.), 1911 - 2009. ISBN: 3764314745
Vorhanden sind: Series Prima - I, II, III, V, VI, VIII, IX, X, XI, XII, XIII, XVII, XVIII, XX, XXI, XXIV, XXV, XXVI, XXVII, XXVIII, XXIX; Series Secunda - I, II, III, IV, V, VI, VIII, IX, X, XI, XIII, XIV, XV, XVI, XVII, XVIII, XIX, XX, XXI, XXII, XXIII, XXIV, XXV, XXVIII, XXIX, XXX; Series Tertia - II, III, IV, V, VI, VII, VIII, IX, XI, XII, XVI. (zusammen 58 Bände) Originalhardcoverbände in schlichten Pappschubern (acht Bände ohne Schuber). Alle Bände in erster Auflage, die älteren Bände (1910 - 1920) mit nachgedunkelten Rücken. Das gesamte Konvolut in gutem bis sehr gutem, ungenutztem Zustand. Für weiter Informationen und Details bitten wir um Nachfrage, Fotografien senden wir auf Anfrage zu. - Euler's papers and books are fundamental to every branch of the mathematical sciences. They are clearly and beautifully written, well explained and illustrated by examples. The Opera Omnia belong in any major working library concerned with mathematics and its applications. The edition of the series I, II and III is limited, for the most part, to re-publication of works that Euler himself prepared for press. The texts are reprinted in the original language, most frequently French or Latin. The fourth series is devoted to Euler's correspondence. - During his long career as a mathematician and scientist, Leonhard Euler published more than 500 research papers and about two dozen books. When he died in 1783, he left behind about 300 more articles in manuscript form; most of these were haphazardly printed during the following eighty years. Several 19th century projects for the publication of Euler's collected works failed; only in 1907, at the celebrations of Euler's 200th birthday, an initiative taken by Ferdinand Rudio led to the establishment of the Euler Edition under the wing of the Swiss Naturalist Society (now the Swiss Academy of Sciences). The current Euler Tercentenary Year therefore sees the 100th birthday of the edition of Euler's Collected Works, which is nearly completed. , ISBN-13: 9783764314743

4°, gebundene Ausgabe.

[SW: Naturwissenschaften. Mathematik. Astronomie.]

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