Strauss received a Ph.D. in Mathematics from M.I.T. in 1962. After an N.S.F. postdoctoral fellowship at the University of Paris and three years at Stanford University, he joined the Department of Mathematics at Brown in 1966 and subsequently the Division of Applied Mathematics. He chaired the Department of Mathematics during the periods 1989-92 and 2000-2001. He has received Fulbright and Guggenheim Fellowships and an Institut Henri Poincare Prize. He is a Fellow of the Society of Industrial and Applied Mathematics, of the American Mathematical Society, and the American Academy of Arts and Sciences. He has visited, for a semester or more, each of the following: C.U.N.Y., U. of Paris, U. of Tokyo, M.I.T., U. of Maryland, Yunnan U., Courant Institute (NYU), U. of Houston, Inst. H. Poincare (Paris), Duke U. and the Mittag-Leffler Institute (Sweden). He was the Editor-in-Chief of the SIAM Journal on Mathematical Analysis during 2000-2007.
Strauss is the author of more than 100 research articles and two books. The main focus of his research has been the analysis of nonlinear waves. They are modeled by hyperbolic, elliptic or dispersive partial differential equations. Some of his specific research areas have been scattering theory in electromagnetism and acoustics, stability of waves, relativistic Yang-Mills theory, kinetic theory of plasmas, theory of fluids, and water waves.
Strauss, Walter A., Wu, Yilun. "Steady States of Rotating Stars and Galaxies." SIAM Journal on Mathematical Analysis, vol. 49, no. 6, 2017, pp. 4865-4914. |
Chen, Xuwen, Strauss, Walter A. "Convergence to Equilibrium of a Body Moving in a Kinetic Sea." SIAM Journal on Mathematical Analysis, vol. 47, no. 6, 2015, pp. 4630-4651. |
Nguyen, Toan T., Nguyen, Truyen V., Strauss, Walter A. "Erratum to: Global magnetic confinement for the 1.5D Vlasov-Maxwell system." Kinetic and Related Models, vol. 8, no. 3, 2015, pp. 615-616. |
Ambrose, David M., Strauss, Walter A., Wright, J. Douglas. "Global bifurcation theory for periodic traveling interfacial gravity–capillary waves." Annales de l'Institut Henri Poincare (C) Non Linear Analysis, 2015. |
Esentürk, Emre, Hwang, Hyung Ju, Strauss, Walter A. "Stationary Solutions of the Vlasov–Poisson System with Diffusive Boundary Conditions." J Nonlinear Sci, vol. 25, no. 2, 2015, pp. 315-342. |
Chen, Xuwen, Strauss, Walter. "Velocity Reversal Criterion of a Body Immersed in a Sea of Particles." Commun. Math. Phys., vol. 338, no. 1, 2015, pp. 139-168. |
Nguyen, Toan T., Nguyen, Truyen V., Strauss, Walter A. "Global magnetic confinement for the 1.5D Vlasov-Maxwell system." KRM, vol. 8, no. 1, 2014, pp. 153-168. |
Chen, Xuwen, Strauss, Walter. "Approach to Equilibrium of a Body Colliding Specularly and Diffusely with a Sea of Particles." Arch Rational Mech Anal, vol. 211, no. 3, 2013, pp. 879-910. |
Nguyen, Toan T., Strauss, Walter A. "Linear Stability Analysis of a Hot Plasma in a Solid Torus." Arch Rational Mech Anal, vol. 211, no. 2, 2013, pp. 619-672. |
Nguyen, Toan T., Strauss, Walter A. "Stability Analysis of Collisionless Plasmas with Specularly Reflecting Boundary." SIAM Journal on Mathematical Analysis, vol. 45, no. 2, 2013, pp. 777-808. |
Strauss, Walter A. "Book Review: Invariant manifolds and dispersive Hamiltonian evolution equations." Bull. Amer. Math. Soc., vol. 50, no. 2, 2012, pp. 367-371. |
Strauss, Walter A. "Vorticity jumps in steady water waves." DCDS-B, vol. 17, no. 4, 2012, pp. 1101-1112. |
Constantin, Adrian, Strauss, Walter. "Periodic Traveling Gravity Water Waves with Discontinuous Vorticity." Arch Rational Mech Anal, vol. 202, no. 1, 2011, pp. 133-175. |
Strauss, Walter A. "Steady water waves." Bull. Amer. Math. Soc., vol. 47, no. 4, 2010, pp. 671-671. |
Ambrose, David, Lopes Filho, Milton, Nussenzveig Lopes, Helena, Strauss, Walter. "Transport of interfaces with surface tension by 2D viscous ﬂows." Interfaces Free Bound., 2010, pp. 23-44. |
Strauss, Walter, Pausader, Benoît. "Analyticity of the nonlinear scattering operator." Discrete and Continuous Dynamical Systems, vol. 25, no. 2, 2009, pp. 617-626. |
Constantin, Adrian, Strauss, Walter. "Pressure beneath a Stokes wave." Communications on Pure and Applied Mathematics, 2009, pp. NA-NA. |
Constantin, Adrian, Escher, Joachim, Johnson, Robin, Strauss, Walter. "Wave Motion." Oberwolfach Rep., 2009, pp. 429-462. |
KO, JOY, STRAUSS, WALTER. "Effect of vorticity on steady water waves." J. Fluid Mech., vol. 608, 2008. |
Ko, Joy, Strauss, Walter. "Large-amplitude steady rotational water waves." European Journal of Mechanics - B/Fluids, vol. 27, no. 2, 2008, pp. 96-109. |
Constantin, Adrian, Strauss, Walter A. "Trochoidal Solutions to the Incompressible Two-Dimensional Euler Equations." J. Math. Fluid Mech., vol. 12, no. 2, 2008, pp. 181-201. |
Karageorgis, Paschalis, Strauss, Walter A. "Instability of steady states for nonlinear wave and heat equations." Journal of Differential Equations, vol. 241, no. 1, 2007, pp. 184-205. |
Lin, Zhiwu, Strauss, Walter. "Linear stability and instability of relativistic Vlasov-Maxwell systems." Communications on Pure and Applied Mathematics, vol. 60, no. 5, 2007, pp. 724-787. |
Lin, Zhiwu, Strauss, Walter. "Nonlinear stability and instability of relativistic Vlasov-Maxwell systems." Communications on Pure and Applied Mathematics, vol. 60, no. 6, 2007, pp. 789-837. |
Constantin, A., Strauss, W. "Rotational steady water waves near stagnation." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 365, no. 1858, 2007, pp. 2227-2239. |
Constantin, Adrian, Strauss, Walter A. "Stability properties of steady water waves with vorticity." Communications on Pure and Applied Mathematics, vol. 60, no. 6, 2007, pp. 911-950. |
CONSTANTIN, ADRIAN, SATTINGER, DAVID, STRAUSS, WALTER. "Variational formulations for steady water waves with vorticity." J. Fluid Mech., vol. 548, no. -1, 2006, pp. 151. |
Guo, Yan, Strauss, Walter. "Stability of Semiconductor States with Insulating and Contact Boundary Conditions." Archive for Rational Mechanics and Analysis, vol. 179, no. 1, 2005, pp. 1-30. |
Constantin, Adrian, Strauss, Walter. "Exact steady periodic water waves with vorticity." Communications on Pure and Applied Mathematics, vol. 57, no. 4, 2004, pp. 481-527. |
Variational formulations of steady water waves with vorticity, J. Fluid Mech. 548 (2006), p. 151-163, with A. Constantin and D. Sattinger.
Stability of semiconductor states with insulating and contact boundary conditions, Arch. Rat. Mech. Anal.179 (2005), p. 1-30, with Y. Guo.
Exact steady periodic water waves with vorticity, Comm. Pure Appl. Math. 57 (2004), 481-527, with A. Constantin.
Stability of the Camassa-Holm solitons, J. Nonlin. Sci. 12 (2002), 415-422, with A. Constantin.
Instability of traveling waves of the Kuramoto-Sivashinsky equation, Chinese Annals Math. 23B (2002), 267-276, with Guanxiang Wang (in memory of J. L. Lions).
Irving Segal's work in partial differential equations, J. Funct. Anal. 190 (2002), 25-28 (in memory of I. E. Segal).
Exact periodic traveling waves with vorticity, C. R. Acad. Sci. Paris 335 (2002), 797-800. with A. Constantin.
Nonlinear instability of dispersive waves, in: T. Kato's method and principle for evolution equations in math. physics, Yurinsha, Tokyo (2002), 173-178.
Stable and unstable ideal plane flows, Chinese Annals Math. 23B (2002), 149-164, with C. Bardos and Y. Guo (in memory of J. L. Lions).
An inhomogeneous boundary value problem for nonlinear Schrodinger equations, J. Diff. Eqns. 173 (2001), 79-91, with C. Bu.
Time decay for the nonlinear beam equation, Meth. & Applics. of Analysis 7 (2001), 479-488, with S. Levandosky (dedicated to C. S. Morawetz).
Spectral condition for instability, Contemp. Math. 255 (2000), 189-198, with J. Shatah.
Stability of peakons, Comm. Pure Appl. Math. 53 (2000), 603-610, with A. Constantin.
Stability of a class of solitary waves in elastic compressible rods, Phys. Lett. A 270 (2000), 140-148, with A. Constantin.
Magnetically created instability in a collisionless plasma, J. de Maths. Pures et Appliq. 79, 10 (2000), 975-1009, with Y. Guo.
Regular solutions of the Vlasov-Poisson-Fokker-Planck system, Discrete & Cont. Dyn. Sys. 6 (2000), 751-772, with K. Ono.
Relativistic unstable periodic BGK waves, Comput. and Appl. Math. 18 (1999), 87-122, with Y. Guo.
Decay of the linearized Boltzmann-Vlasov system, Trans. Th. Stat. Phys. 28, 135-156, with R. Glassey.
Unstable oscillatory-tail waves in collisionless plasmas, SIAM J. Math. Anal. 30 (1999), 1076-1114, with Y. Guo.
Robustness of instability for the two-dimensional Euler equations, SIAM J. Math. Anal. 30 (1999), 1343-1354, with S. Friedlander and M. Vishik.
Perturbation of essential spectra of evolution operators and the Vlasov- Poisson-Boltzmann system, Discrete & Cont. Dyn. Sys. 5 (1999), 457-472, with R. Glassey.
Stability and instability in the kinetic theory of plasmas, Mathemática Contemporanêa 15 (1999), 249-258.
Unstable BGK solitary waves and collisionless shocks, Comm. Math. Phys. 195 (1998), 267-293, with Y. Guo.
Nonlinear instability in an ideal fluid, Annales de l'IHP (Anal. NL) 14 (1997), 187-209, with S. Friedlander and M. Vishik.
Existence and blow up of small-amplitude nonlinear waves with a negative potential, Discrete & Cont. Dyn. Sys. 3 (1997), 175-188, with K. Tsutaya.
Stability, instability and regularity of nonlinear waves, in: Nonlinear Waves, T. Ozawa, ed., Gakuto Int'l Series, Gakkotosho, Tokyo, 1997, p. 451-468.
Breathers as homoclinic geometric wave maps, Physica D 99 (1996), 113-133, with J. Shatah.
The relativistic Boltzmann equation, in: Quantization, Nonlinear PDEs and Operator Algebras, W. Arveson et al., eds., P.S.P.M. 59 (1996), Amer. Math. Soc., p. 203-209.
Asymptotic stability of the relativistic maxwellian via fourteen moments, Transport Th. Stat. Phys. 24 (1995), 657-678, with R. Glassey.
Instability of periodic BGK equilibria, Comm. Pure Appl. Math. 48 (1995), 861-894, with Y. Guo.
Microlocal dispersive smoothing for the Schrodinger equation, Comm. Pure Appl. Math. 48 (1995), 769-860, with W. Craig and T. Kappeler.
Global finite-energy solutions of the Maxwell-Schrodinger system, Comm. Math. Phys. 170 (1995), 181-196, with Y. Guo and K. Nakamitsu.
Book: Partial Differential Equations: An Introduction, Wiley and Sons, New York, 1992
Book: Nonlinear Wave Equations, NSF-CBMS Research Monograph, Amer. Math. Soc., Providence, 1989.
Nonlinear stability and instability of relativistic Vlasov-Maxwell systems, preprint, to appear in Comm. Pure Appl. Math., with Zhiwu Lin.
Linear stability and instability of relativistic Vlasov-Maxwell systems, preprint, to appear in Comm. Pure Appl. Math., with Zhiwu Lin.
Stability properties of steady water waves with vorticity, preprint, to appear in Comm. Pure Appl. Math., with A. Constantin.
Year | Degree | Institution |
---|---|---|
1962 | PhD | Massachusetts Institute of Technology |
1959 | MS | University of Chicago |
1958 | BA | Columbia University |
NSF Postdoctoral Fellowship, 1962-63
Fulbright Fellowship, 1967
Guggenheim Fellowship, 1971
Fellow of the Japan Society for the Promotion of Science, 1972
Principal lecturer, C.B.M.S., George Mason U., 1989
Harrison S. Kravis University Professorship, Brown U., 1993-94
L. Herbert Ballou University Professorship, Brown U., 1995-present
Institut Henri Poincare Prize, 1997
Fellow of the Society of Industrial and Applied Mathematics
Fellow of the American Mathematical Society
Fellow of the American Academy of Arts and Sciences
Name | Title |
---|---|
Guo, Yan | Professor of Applied Mathematics |
MATH 1120 - Partial Differential Equations |
MATH 2380 - Partial Differential Equations |