Recent advances in partial differential equations, Venice 1996 : proceedings of a conference in honor of the 70th birthdays of Peter D. Lax and Louis Nirenberg : June 10-14, 1996, Venice, Italy / Renato Spigler, Stephanos Venakides, editors.

Format:

Book

Contributor:

Spigler, Renato, 1947- editor.

Venakides, S. (Stephanos), editor.

American Mathematical Society. Short Course, organizer of meeting.

Series:

Proceedings of symposia in applied mathematics ; Volume 54.

Proceedings of Symposia in Applied Mathematics ; Volume 54

Language:

English

Subjects (All):

Differential equations, Partial--Congresses.

Differential equations, Partial.

Physical Description:

1 online resource (407 p.)

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 1998.

Language Note:

English

Summary:

Lax and Nirenberg are two of the most distinguished mathematicians of our times. Their work on partial differential equations (PDEs) over the last half-century has dramatically advanced the subject and has profoundly influenced the course of mathematics. A huge part of the development in PDEs during this period has either been through their work, motivated by it or achieved by their postdocs and students. A large number of mathematicians honored these two exceptional scientists in a week-long conference in Venice (June 1996) on the occasion of their 70th birthdays. This volume contains the proceedings of the conference, which focused on the modern theory of nonlinear PDEs and their applications. Among the topics treated are turbulence, kinetic models of a rarefied gas, vortex filaments, dispersive waves, singular limits and blow-up solutions, conservation laws, Hamiltonian systems and others. The conference served as a forum for the dissemination of new scientific ideas and discoveries and enhanced scientific communication by bringing together such a large number of scientists working in related fields. THe event allowed the international mathematics community to honor two of its outstanding members.

Contents:

Scaling laws and vanishing viscosity limits in turbulence theory / G. I. Barenblatt and Alexandre J. Chorin

http://www.ams.org/psapm/054 https://doi.org/10.1090/psapm/054/1492690 Potential theory in Hilbert spaces / Piermarco Cannarsa and Giuseppe Da Prato

http://www.ams.org/psapm/054 https://doi.org/10.1090/psapm/054/1492691 Recent developments in the theory of the Boltzmann equation / Carlo Cercignani

http://www.ams.org/psapm/054 https://doi.org/10.1090/psapm/054/1492692 New results for the asymptotics of orthogonal polynomials and related problems via the Lax-Levermore method / P. Deift, T. Kriecherbauer and K. T-R McLaughlin

http://www.ams.org/psapm/054 https://doi.org/10.1090/psapm/054/1492693 Evolution of trajectory correlations in steady random flows / Albert Fannjiang, Leonid Ryzhik and George Papanicolaou

http://www.ams.org/psapm/054 https://doi.org/10.1090/psapm/054/1492694 Integrability: from d'Alembert to Lax / A. S. Fokas

http://www.ams.org/psapm/054 https://doi.org/10.1090/psapm/054/1492695 Methods in the theory of quasi-periodic motions / Giovanni Gallavotti

http://www.ams.org/psapm/054 https://doi.org/10.1090/psapm/054/1492696 Fourier analysis and nonlinear wave equations / Sergiu Klainerman

http://www.ams.org/psapm/054 https://doi.org/10.1090/psapm/054/1492697 The KdV zero-dispersion limit and densities of Dirichlet spectra / C. David Levermore

http://www.ams.org/psapm/054 https://doi.org/10.1090/psapm/054/1492698 On Boltzmann equation and its applications / Pierre-Louis Lions

http://www.ams.org/psapm/054 https://doi.org/10.1090/psapm/054/1492699 Simplified asymptotic equations for slender vortex filaments / Andrew J. Majda

http://www.ams.org/psapm/054 https://doi.org/10.1090/psapm/054/1492700 Homoclinic orbits for PDE's / David W. McLaughlin and Jalal Shatah

http://www.ams.org/psapm/054 https://doi.org/10.1090/psapm/054/1492701 Lagrangian metrics on fractals / Umberto Mosco

http://www.ams.org/psapm/054 https://doi.org/10.1090/psapm/054/1492702 Approximate solutions of nonlinear conservation laws and related equations / Eitan Tadmor

http://www.ams.org/psapm/054 https://doi.org/10.1090/psapm/054/1492703 The small dispersion KdV equation with decaying initial data / S. Venakides

http://www.ams.org/psapm/054 https://doi.org/10.1090/psapm/054/1492704

Notes:

Description based upon print version of record.

Includes bibliographical references at the end of each chapters.

Description based on print version record.

ISBN:

0-8218-9269-X