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Titlebook: Nonlinear Evolution Equations That Change Type; Barbara Lee Keyfitz,Michael Shearer Conference proceedings 1990 Springer-Verlag New York I

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书目名称Nonlinear Evolution Equations That Change Type
编辑Barbara Lee Keyfitz,Michael Shearer
视频videohttp://file.papertrans.cn/668/667483/667483.mp4
丛书名称The IMA Volumes in Mathematics and its Applications
图书封面Titlebook: Nonlinear Evolution Equations That Change Type;  Barbara Lee Keyfitz,Michael Shearer Conference proceedings 1990 Springer-Verlag New York I
描述This IMA Volume in Mathematics and its Applications NONLINEAR EVOLUTION EQUATIONS THAT CHANGE TYPE is based on the proceedings of a workshop which was an integral part of the 1988-89 IMA program on NONLINEAR WAVES. The workshop focussed on prob­ lems of ill-posedness and change of type which arise in modeling flows in porous materials, viscoelastic fluids and solids and phase changes. We thank the Coordinat­ ing Committee: James Glimm, Daniel Joseph, Barbara Lee Keyfitz, Andrew Majda, Alan Newell, Peter Olver, David Sattinger and David Schaeffer for planning and implementing an exciting and stimulating year-long program. We especially thank the workshop organizers, Barbara Lee Keyfitz and Michael Shearer, for their efforts in bringing together many of the major figures in those research fields in which theories for nonlinear evolution equations that change type are being developed. A vner Friedman Willard Miller, J r. ix PREFACE During the winter and spring quarters of the 1988/89 IMA Program on Non­ linear Waves, the issue of change of type in nonlinear partial differential equations appeared frequently. Discussion began with the January 1989 workshop on Two­ Phase Waves in Fluidi
出版日期Conference proceedings 1990
关键词Boundary value problem; Potential; calculus; equation; partial differential equation; partial differentia
版次1
doihttps://doi.org/10.1007/978-1-4613-9049-7
isbn_softcover978-1-4613-9051-0
isbn_ebook978-1-4613-9049-7Series ISSN 0940-6573 Series E-ISSN 2198-3224
issn_series 0940-6573
copyrightSpringer-Verlag New York Inc. 1990
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Composite Type, Change of Type, and Degeneracy in First Order Systems with Applications to Viscoela degeneracy. We are interested in these effects with respect to viscoelastic fluid flow and hence we focus on the properties of two particular models of differential type, the Upper Convected Maxwell model and the Bird-DeAguiar model. Friedrichs’ theory of symmetric positive operators is discussed a
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Numerical Simulation of Inertial Viscoelastic Flow with Change of Type,hen the velocity of the fluid exceeds the speed of shear waves. We use a finite element algorithm which has been developed for calculating highly viscoelastic flows..The algorithm is tested for supercritical flow regimes on the problem of the flow through a wavy channel. We next consider the problem
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,Some Qualitative Properties of 2 × 2 Systems of Conservation Laws of Mixed Type,and .... if . > 0. In particular we are interested in the case when the system changes type when the eigenvalues of the Jacobian . become complex. It is proved that if .. and .. are in the elliptic region, and the elliptic region is convex, then part of the solution has to be outside the elliptic re
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Shocks Near the Sonic Line: A Comparison between Steady and Unsteady Models for Change of Type,dels for unsteady change of type. Our result is that these two problems may be distinguished by the nature of the timelike directions and the forward light cone. This leads in a natural way to different candidates for admissible shocks in the two cases.
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An Existence and Uniqueness Result for Two Nonstrictly Hyperbolic Systems,d a . system of two equations ., where .: . → . is a given strictly convex function and .. We use the Volpert’s product ([19], see also Dal Maso — Le Floch — Murat [1]) and find entropy weak solutions . and . which have bounded variation while the solutions . are .. The equations for . and . can be
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