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Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables: 53 (Applied Mathematical Sciences, 53) - Tapa blanda
Sinopsis
Conservation laws arise from the modeling of physical processes through the following three steps: 1) The appropriate physical balance laws are derived for m-phy- t cal quantities, ul""’~ with u = (ul’ ... ,u ) and u(x,t) defined m for x = (xl""’~) E RN (N = 1,2, or 3), t > 0 and with the values m u(x,t) lying in an open subset, G, of R , the state space. The state space G arises because physical quantities such as the density or total energy should always be positive; thus the values of u are often con strained to an open set G. 2) The flux functions appearing in these balance laws are idealized through prescribed nonlinear functions, F.(u), mapping G into J j = 1, ..• ,N while source terms are defined by S(u,x,t) with S a given smooth function of these arguments with values in Rm. In parti- lar, the detailed microscopic effects of diffusion and dissipation are ignored. 3) A generalized version of the principle of virtual work is applied (see Antman [1]). The formal result of applying the three steps (1)-(3) is that the m physical quantities u define a weak solution of an m x m system of conservation laws, o I + N(Wt’u + r W ·F.(u) + W·S(u,x,t))dxdt (1.1) R xR j=l Xj J for all W E C~(RN x R+), W(x,t) E Rm.
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Conservation laws arise from the modeling of physical processes through the following three steps: 1) The appropriate physical balance laws are derived for m-phy- t cal quantities, ul""'~ with u = (ul' ... ,u ) and u(x,t) defined m for x = (xl""'~) E RN (N = 1,2, or 3), t > 0 and with the values m u(x,t) lying in an open subset, G, of R , the state space. The state space G arises because physical quantities such as the density or total energy should always be positive; thus the values of u are often con strained to an open set G. 2) The flux functions appearing in these balance laws are idealized through prescribed nonlinear functions, F.(u), mapping G into J j = 1, ..· ,N while source terms are defined by S(u,x,t) with S a given smooth function of these arguments with values in Rm. In parti- lar, the detailed microscopic effects of diffusion and dissipation are ignored. 3) A generalized version of the principle of virtual work is applied (see Antman [1]). The formal result of applying the three steps (1)-(3) is that the m physical quantities u define a weak solution of an m x m system of conservation laws, o I + N(Wt'u + r W ·F.(u) + W·S(u,x,t))dxdt (1.1) R xR j=l Xj J for all W E C~(RN x R+), W(x,t) E Rm.
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Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables
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Secaucus, New Jersey, U.S.A.: Springer Verlag, 1984
ISBN 10: 0387960376
ISBN 13: 9780387960371
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Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables (Applied Mathematical Sciences, 53)
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Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables. Applied Mathematical Sciences 53
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Condición: Very Good. *Price HAS BEEN REDUCED by 10% until Monday, Oct. 6 (sale item)* 159 pp., Paperback, minor ownership marking to the front free endpaper, else very good. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Nº de ref. del artículo: ZB1327875
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Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables (Applied Mathematical Sciences, 53)
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Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables
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Springer, New York, NY, 1984
ISBN 10: 0387960376
ISBN 13: 9780387960371
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Trade paperback. Condición: New in new dust jacket. First edition. INTERNATIONAL EDITION. ***INTERNATIONAL EDITION*** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. Trade paperback (US). Glued binding. 172 p. Contains: Illustrations, black & white. Springer Series on Environmental Management, 53. Audience: General/trade. Nº de ref. del artículo: K4500000815
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Compressible fluid flow and systems of conservation laws in several space variables A. Majda. Applied mathematical sciences 53.
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New York Berlin , Springer [1984]., 1984
ISBN 10: 0387960376
ISBN 13: 9780387960371
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Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables
Publicado por
Springer Verlag, NY, 1984
ISBN 10: 0387960376
ISBN 13: 9780387960371
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Paper Bound
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Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables
Publicado por
Springer Verlag, NY, 1984
ISBN 10: 0387960376
ISBN 13: 9780387960371
Antiguo o usado
Paper Bound
Librería: Feldman's Books, Menlo Park, CA, Estados Unidos de America
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Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables (Applied Mathematical Sciences, 53)
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Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables
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