Walter Alexander Strauss

Walter Alexander Strauss (born 1937) is American applied mathematician, specializing in partial differential equations and nonlinear waves.

Strauss graduated in 1958 with an A.B. in mathematics from Columbia University and in 1959 with an M.S. from the University of Chicago. He received his Ph.D. from the Massachusetts Institute of Technology in 1962 with thesis Scattering for hyperbolic equations under the supervision of Irving Segal. Strauss was a postdoc for the academic year 1962–1963 at the Université de Paris. He was a visiting assistant professor from 1963 to 1966 at Stanford University. At Brown University he was an associate professor from 1966 to 1971 and a full professor from 1971 to the present.

Strauss has done research on "scattering theory in electromagnetism and acoustics, stability of waves, relativistic Yang-Mills theory, kinetic theory of plasmas, theory of fluids, and water waves."

He has visited, for a semester or more, each of the following: C.U.N.Y., U. of Paris, University of Tokyo, M.I.T., University of Maryland, Yunnan University, Courant Institute (NYU), University of Houston, Inst. H. Poincare (Paris), Duke University and the Mittag-Leffler Institute (Sweden). Since 2000 he has been the Editor-in-Chief of the SIAM Journal on Mathematical Analysis. Strauss is the author of more than 100 research articles and two books.

• 1971 — Guggenheim Fellow
• 1998 — Brown University conference held in honor of Strauss's 60th birthday
• 2009 — Fellow of the Society for Industrial and Applied Mathematics
• 2012 — Fellow of the American Mathematical Society
• 2013 — Member of the American Academy of Arts and Sciences

Articles

• Strauss, Walter A. (1967). "On the solutions of abstract nonlinear equations". Proceedings of the American Mathematical Society. 18: 116. doi:10.1090/S0002-9939-1967-0217657-1.
• Brezis, Haim; Strauss, Walter (1973). "Semi-linear second-order elliptic equations in ${\displaystyle L^{1}}$". Journal of the Mathematical Society of Japan. 25 (4): 565–590. doi:10.2969/jmsj/02540565. ISSN 0025-5645.
• Strauss, Walter A. (1977). "Existence of solitary waves in higher dimensions". Communications in Mathematical Physics. 55 (2): 149–162. Bibcode:1977CMaPh..55..149S. doi:10.1007/BF01626517. (This article has over 1600 citations.)
• Strauss, Walter A. (1981). "Nonlinear scattering theory at low energy". Journal of Functional Analysis. 41: 110–133. doi:10.1016/0022-1236(81)90063-X.
• Bona, J. L.; Souganidis, P. E.; Strauss, W. A. (1987). "Stability and Instability of Solitary Waves of Korteweg-de Vries Type". Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 411 (1841): 395–412. Bibcode:1987RSPSA.411..395B. doi:10.1098/rspa.1987.0073.
• Constantin, Adrian; Strauss, W. A. (2000). "Stability of peakons". Communications on Pure and Applied Mathematics: A Journal Issued by the Courant Institute of Mathematical Sciences. 53 (5): 603–610. doi:10.1002/(SICI)1097-0312(200005)53:5<603::AID-CPA3>3.0.CO;2-L.
• Constantin, Adrian; Strauss, W. A. (2002). "Stability of the Camassa-Holm solitons". Journal of Nonlinear Science. 12 (4): 415–422. Bibcode:2002JNS....12..415C. doi:10.1007/s00332-002-0517-x.

Books

• Strauss, Walter A. (1989). Nonlinear wave equations. Regional conference series in mathematics, no. 73. Providence, R.I.: American Mathematical Society. ISBN 978-0-8218-0725-5; 91 pages
• Strauss, Walter A. (21 December 2007). Partial Differential Equations: An Introduction (2nd ed.). John Wiley & Sons. ISBN 978-0-470-05456-7. (1st edition, 1990)