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Nonlinear partial differential equations in applied science : proceedings of the U.S.-Japan seminar, Tokyo, 1982 /

Nonlinear equations come to us in tremendous variety, each with its own questions and its own difficulties. At one extreme are the completely integrable equations, with constants of the motion and a rich algebraic structure. At the other extreme is chaos, with turbulent solutions and statistical ave...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Fujita, Hiroshi, 1928- (Editor ), Lax, Peter D. (Editor ), Strang, Gilbert (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam ; New York : Tokyo, Japan : New York, N.Y. : North-Holland ; Kinokuniya ; Elsevier Science [distributor], �1983.
Colección:North-Holland mathematics studies ; 81.
Lecture notes in numerical and applied analysis ; v. 5.
Temas:
Acceso en línea:Texto completo
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245 0 0 |a Nonlinear partial differential equations in applied science :  |b proceedings of the U.S.-Japan seminar, Tokyo, 1982 /  |c edited by Hiroshi Fujita, Peter D. Lax, Gilbert Strang. 
246 3 0 |a Proceedings of the U.S.-Japan seminar, Tokyo, 1982 
260 |a Amsterdam ;  |a New York :  |b North-Holland ;  |a Tokyo, Japan :  |b Kinokuniya ;  |a New York, N.Y. :  |b Elsevier Science [distributor],  |c �1983. 
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490 1 |a North-Holland mathematics studies ;  |v 81 
490 1 |a Lecture notes in numerical and applied analysis ;  |v v. 5 
504 |a Includes bibliographical references at chapter ends. 
505 0 0 |t Conservation laws and the weak topology /  |r Ronald J. DiPerna --  |t Global bifurcation diagram in nonlinear diffusion systems /  |r Hiroshi Fujii [and]  |r Yasumasa Nishiura --  |t The Navier-Stokes initial value problem in L[superscript italic lowercase]p and related problems /  |r Yoshikazu Giga --  |t Nash's implicit function theorem and the Stefan problem /  |r Ei-Ichi Hanzawa --  |t Quasi-linear equations of evolution in nonreflexive Banach spaces /  |r Tosio Kato --  |t Asymptotic behaviors of the solution of an elliptic equation with penalty terms /  |r Hideo Kawarada [and]  |r Takao Hanada 
505 8 0 |t Partial regularity and the Navier-Stokes equations /  |r Robert V. Kohn --  |t Blow-up of solutions of some nonlinear diffusion equations /  |r Ky�uya Masuda --  |t Asymptotic behavior of the free boundaries arising in one phase Stefan problems in multi-dimensional spaces /  |r Hiroshi Matano --  |t Initial boundary value problems for the equations of compressible viscous and heat-conductive fluid /  |r Akitaka Matsuraura [and]  |r Takaaki Nishida --  |t Integral representation of solutions for equations of mixed type in a half space /  |r Sadao Miyatake --  |t Yielding and unloading in semidiscrete problem of plasticity /  |r Tetsuhiko Miyoshi -- 
505 8 0 |t Two dimensional convection patterns in large aspect ratio systems /  |r Alan C. Newell --  |t Stationary free boundary problems for circular flows with or without surface tension /  |r Hisashi Okamoto --  |t Focusing singularity for the nonlinear Schroedinger equation /  |r G. Papanicolaou,  |r D. McLaughlin, [and]  |r M. Weinstein --  |t Soliton equations as dynamical systems on infinite dimensional Grassmann manifold /  |r Mikio Sato --  |t L¹ and L[superscript infinity symbol] approximation of vector fields in the plane /  |r Gilbert Strang --  |t Deformation formulas and their applications to spectral and evolutional inverse problems /  |r Takashi Suzuki --  |t Stationary solutions of the Boltzmann equation /  |r Seiji Ukai [and]  |r Kiyoshi Asano 
505 8 0 |t On the linear stability analysis of magnetohydrodynamic system /  |r Teruo Ushijima --  |t A simple system with a continuum of stable inhomogeneous steady states /  |r H.F. Weinberger --  |t Chaos arising from the discretization of O.D.E. and an age dependent population model /  |r Masaya Yamaguti [and]  |r Masayoshi Hata --  |t Stability, regularity and numerical analysis of the nonstationary Navier-Stokes problem /  |r John G. Heywood --  |t The existence and the finite element approximation for the system [capital Greek]Deltau =  |t [capital Greek]Sigma u[subscript]j [lowercase Greek]Deltau [over] [lowercase Greek]Deltax[subscript]j + f /  |r Lin Qun and  |r Jiang Lishang --  |t A hyperbolic model of combustion /  |r Ying Lung-an and  |r Teng Zhen-huan --  |t Boundary value problems for some nonlinear evolutional systems of partial differential equations /  |r Zhou Yu-lin. 
520 |a Nonlinear equations come to us in tremendous variety, each with its own questions and its own difficulties. At one extreme are the completely integrable equations, with constants of the motion and a rich algebraic structure. At the other extreme is chaos, with turbulent solutions and statistical averages. Between these two possibilities, algebraic and ergodic, lies the full range of nonlinear phenomena. There are smooth solutions which develop shocks, or bifurcate, or maintain slow and nearly periodic variations that imitate the linear theory. Each of these questions requires a separate treatment, and the subject would be simpler if we know for every equation which behavior to expect. Nevertheless these equations, the nonlinear partial differential equations which arise in applications, share one crucial property. They are all vulnerable when the right pattern in found. It is a slow process, to uncover and reveal their structure, but it is moving forward. The papers in this volume reflect a part of that progress. They were presented at the U.S.-Japan Seminar in Tokyo in July 1982. 
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700 1 |a Fujita, Hiroshi,  |d 1928-  |e editor. 
700 1 |a Lax, Peter D.,  |e editor. 
700 1 |a Strang, Gilbert.,  |e editor. 
776 0 8 |i Print version:  |t Nonlinear partial differential equations in applied science.  |d Amsterdam ; New York : North-Holland ; Tokyo, Japan : Kinokuniya ; New York, N.Y. : Elsevier Science [distributor], �1983  |z 0444866817  |z 9780444866813  |w (DLC) 84212512  |w (OCoLC)10938090 
830 0 |a North-Holland mathematics studies ;  |v 81. 
830 0 |a Lecture notes in numerical and applied analysis ;  |v v. 5. 
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