SYMMETRY PROBLEMS THE NAVIER-S

Erscheinungsjahr 2019
ISBN: 978-1-68173-507-8
Verlag: MORGAN & CLAYPOOL

Buch, Englisch, 85 Seiten, Hardback, Format (B × H): 190 mm x 235 mm

Reihe: Synthesis Lectures on Mathematics and Statistics

Gives a necessary and sufficient condition in terms of the scattering amplitude for a scatterer to be spherically symmetric. Ghe book also gives necessary and sufficient conditions for a domain to be a ball if an overdetermined boundary problem for the Helmholtz equation in this domain is solvable.

Autoren/Hrsg.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik EDV | Informatik Informatik

Inhaltsverzeichnis

- Preface
- Introduction
- Necessary and Sufficient Conditions for a Scatterer to be Spherically Symmetric
- Symmetry Problems for the Helmholtz Equation
- Other Symmetry Problems
- Solution to the Navier--Stokes Problem
- Inverse Problem of Potential Theory
- Bibliography
- Author's Biography

Über Autor(innen)

Alexander G. Ramm, Ph.D., was born in Russia, immigrated to the U.S. in 1979, and is a U.S. citizen. He is Professor of Mathematics with broad interests in analysis, scattering theory, inverse problems, theoretical physics, engineering, signal estimation, tomography, theoretical numerical analysis, and applied mathematics. He is an author of 690 research papers, 16 monographs, and an editor of 3 books. He has lectured in many universities throughout the world, presented approximately 150 invited and plenary talks at various conferences, and has supervised 11 Ph.D. students. He was Fulbright Research Professor in Israel and in Ukraine, distinguished visiting professor in Mexico and Egypt, Mercator professor, invited plenary speaker at the 7th PACOM, won the Khwarizmi international award, and received other honors. Recently he solved inverse scattering problems with non-over-determined data and the many-body wavescattering problem when the scatterers are small particles of an arbitrary shape; Dr. Ramm used this theory to give a recipe for creating materials with a desired refraction coefficient, gave a solution to the refined Pompeiu problem and proved the refined Schiffer's conjecture.

Steven G. Krantz, Washington University, St. Louis.