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Nonlinear Partial Differential Equations And Related Analysis: The Emphasis Year 2002-2003 Program On Nonlinear Partial Differential Equations And ... Universi

✍ Scribed by Gui-Qiang Chen, George Gasper, Joseph W. Jerome (ed.)


Publisher
Amer Mathematical Society
Year
2005
Tongue
English
Leaves
336
Series
Contemporary Mathematics 371
Category
Library

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✦ Synopsis


The Emphasis Year on Nonlinear Partial Differential Equations and Related Analysis at Northwestern University produced this fine collection of original research and survey articles. Many well-known mathematicians attended the events and submitted their contributions for this volume. Eighteen papers comprise this work, representing the most significant advances and current trends in nonlinear PDEs and their applications. Topics covered include elliptic and parabolic equations, Navier Stokes equations, and hyperbolic conservation laws. Important applications are presented from incompressible and compressible fluid mechanics, combustion, and electromagnetism.Also included are articles on recent advances in statistical reliability in modeling, simulation, level set methods for image processing, shock waves, free boundaries, boundary layers, errors in numerical solutions, stability, instability, and singular limits. The volume is suitable for researchers and graduate students interested in partial differential equations


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