Cathleen Synge Morawetz

Cathleen Synge Morawetz's AcademicInfluence.com Rankings

Mathematics

#858

World Rank

#1522

Historical Rank

#376

USA Rank

Measure Theory

#1835

World Rank

#2242

Historical Rank

#574

USA Rank

mathematics Degrees

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Mathematics

Cathleen Synge Morawetz's Degrees

PhD Mathematics New York University

Why Is Cathleen Synge Morawetz Influential?

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According to Wikipedia, Cathleen Synge Morawetz was a Canadian mathematician who spent much of her career in the United States. Morawetz's research was mainly in the study of the partial differential equations governing fluid flow, particularly those of mixed type occurring in transonic flow. She was professor emerita at the Courant Institute of Mathematical Sciences at the New York University, where she had also served as director from 1984 to 1988. She was awarded the National Medal of Science in 1998.

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Cathleen Synge Morawetz's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Time decay for the nonlinear Klein-Gordon equation (1968) (327)
CBMS-NSF REGIONAL CONFERENCE SERIES IN APPLIED MATHEMATICS (2010) (292)
Decay and scattering of solutions of a nonlinear relativistic wave equation (1972) (232)
The decay of solutions of the exterior initial-boundary value problem for the wave equation (1961) (221)
Exponential decay of solutions of the wave equation in the exterior of a star-shaped obstacle (1962) (207)
Decay of solutions of the wave equation outside nontrapping obstacles (1977) (194)
On the non‐existence of continuous transonic flows past profiles II (1956) (193)
The limiting amplitude principle (1962) (178)
The Courant Institute of Mathematical Sciences (1988) (166)
Decay for solutions of the exterior problem for the wave equation (1975) (153)
Potential theory for regular and mach reflection of a shock at a wedge (1994) (126)
An inequality for the reduced wave operator and the justification of geometrical optics (1968) (122)
On a weak solution for a transonic flow problem (1985) (111)
MIXED EQUATIONS AND TRANSONIC FLOW (2004) (108)
A weak solution for a system of equations of elliptic-hyperbolic type† (1958) (85)
A viscous approximation for a 2‐D steady semiconductor or transonic gas dynamic flow: Existence theorem for potential flow (1996) (69)
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS (1956) (64)
Notes on Time Decay and Scattering for Some Hyperbolic Problems (1987) (59)
Solving the Helmholtz Equation for Exterior Problems with Variable Index of Refraction (1980) (58)
On closed boundary value problems for equations of mixed elliptic‐hyperbolic type (2007) (55)
The dirichlet problem for the tricomi equation (1970) (51)
Non‐existence of transonic flow past a profile (1964) (50)
On a nonlinear scattering operator (1973) (44)
Symmetric positive linear differential equations, Comm. Pure Appl. Math., XI (1958), 333–418 (1986) (41)
On steady transonic flow by compensated compactness (1995) (41)
A uniqueness threorem for Frankl's problem (1954) (38)
The mathematical approach to the sonic barrier (1982) (33)
A formulation for higher dimensional inverse problems for the wave equation (1981) (29)
The generalized huyghens' principle for reflecting bodies (1969) (28)
Note on a maximum principle and a uniqueness theorem for an elliptic-hyperbolic equation (1956) (25)
Scattering by a potential using hyperbolic methods (1989) (25)
The Eigenvalues of Some Stability Problems Involving Viscosity (1952) (24)
Selected works of Eberhard Hopf with commentaries (2002) (24)
A numerical experiment on a second‐order partial differential equation of mixed type (1991) (24)
MODIFICATION FOR MAGNETOHYDRODYNAMIC SHOCK STRUCTURE WITHOUT COLLISIONS (1962) (21)
An alternative proof of Di Perna's theorem† (1991) (16)
A uniqueness theorem for the relativistic wave equation (1963) (11)
Variations on conservation laws for the wave equation (2000) (11)
Hydromaguetic shock waves in high temperature plasmas (1958) (10)
Uniqueness for the analogue of the Neumann problem for mixed equations. (1957) (9)
Magneto-hydrodynamic Shock Structure Without Collisions (2015) (8)
The Calculations of an Inverse Potential Problem (1983) (8)
On the non‐existence of limiting lines in transonic flows (1953) (7)
A DECAY THEOREM FOR MAXWELL'S EQUATIONS (1974) (6)
Asymptotic Solutions of the Stability Equations of a Compressible Fluid (1954) (6)
Geometrical Optics and the Singing of Whales (1978) (5)
Time decay and relaxation schemes (1977) (5)
A correction to: Decay of solutions of the wave equation outside nontrapping obstacles (1978) (5)
The nonlinear interaction of a laser beam with a plasma pellet (1983) (5)
Asymptotics of a nonlinear relativistic wave equation (1971) (4)
Mathematical Problems in Transonic Flow (1986) (4)
Two $L^p$ inequalities (1969) (4)
Remembering Lipman Bers (1995) (3)
Systems of conservation equations with a convex extension, Proc. Nat. Acad. Sci. USA, 68 (1971), 1686–1688 (1986) (3)
Nonlinear hyperbolic differential equations for functions of two independent variables, Amer. J. Math., LXX(1948), 555–589 (1986) (3)
Lectures on nonlinear waves and shocks (1981) (3)
Computations with the nonlinear Helmholtz equation (1981) (3)
Weak Solutions of Transonic Flow by Compensated Compactness (1987) (3)
On the differentiability of the solutions of linear elliptic differential equations, Comm. Pure Appl. Math., VI (1953), 299–326 (1986) (2)
A DECAY THEOREM FOR SOME SYMMETRIC HYPERBOLIC SYSTEMS (2006) (2)
Energy flow: Wave motion and geometrical optics (1970) (2)
Erratum: On closed boundary value problems for equations of mixed elliptic‐hyperbolic type (2008) (2)
Perturbations About Strong Spherical Shock Waves (2015) (1)
Olga Arsen ′ evna Oleı̆nik ( 1925 – 2001 ) (2002) (1)
Transonic Flow and Compensated Compactness (1987) (1)
Estimates for a slowly‐varying wave equation with a periodic potential (1973) (1)
Viscous approximation to transonic gas dynamics: flow past profiles and charged-particle systems (1998) (1)
Appendix 3 Energy Decay for Star-Shaped Obstacles (1967) (1)
Magneto-hydrodynamic shock structure using friction (2011) (1)
Boundary value problems for first order operators, (With Peter D. Lax), Comm. Pure Appl. Math., XVIII (1965), 355–388 (1986) (0)
7. The Generalized Huyghens' Principle and Geometrical Optics (1975) (0)
The identity of weak and strong extensions of differential operators, Trans. A.M.S., 55(1944), 132–151 (1986) (0)
The Inverse Back Scattering Problem for the Schroedinger Equation in Two Space Dimensions. (1987) (0)
Transonic flow and mixed equations (1989) (0)
Nonlinear Conservation Equations (1979) (0)
A theorem of Lichtenstein, Duke Math. J., 14(1947), 67–82 (1986) (0)
Introduction. Dinner Speech (2009) (0)
9. The Inverse Problem (1975) (0)
Book Review: Nonlinear wave equations (1992) (0)
Cathleen S. Morawetz (interviewed by Tiffany K. Cheng) (2009) (0)
8. A Nonlinear Dispersive Problem (1975) (0)
On symmetrizable differential operators, Proc. Symp. Pure Math., 10 (1967), Singular Integrals, ed. Alberto P. Calderon, A.M.S., 128–137, (with P.D. Lax) (1986) (0)
Methods for Computing the Pattern of Compressible Fluid Flow in Nozzles or Past Bodies (1979) (0)
Publications of Kurt O. Friedrichs 1901–1982 (1986) (0)
MATHEMATICS TO THE RESCUE (RETIRING PRESIDENTIAL ADDRESS) (1999) (0)
6. Estimates for Reduced Equations (1975) (0)
5. Modes of Decay or Scattering Frequencies (1975) (0)
New Algorithms for Determining and Optimizing the Properties of Materials and Fluid Flows (1990) (0)
1. Introduction and Survey (1975) (0)
On t 7 ie Non-existence of Limiting Lines in Transonic Flows (2009) (0)
Viscous Approximation to Transonic Gas Dynamics: Ow past Prooles and Charged{particle Systems X1. Introduction (0)
2. Rates of Decay and Conservation Methods (1975) (0)
Computing Solutions of the Reduced Wave Equation. (1981) (0)
4. Scattering for the Wave Equation by an Obstacle (1975) (0)
Collisionless Shocks and Solitary Waves (2015) (0)
Lectures on nonlinear waves and shocks : lectures delivered at the Indian Institute of Science, Bangalore (1981) (0)
3. Exponential Decay (1975) (0)
Reprint of Remembering Lipman Bers (2015) (0)
Nonlinear, Hyperbolic and Inverse Problems (1991) (0)
Mathematics to the Rescue ( Retiring Presidential Address ) Cathleen Synge Morawetz (1998) (0)

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Cathleen Synge Morawetz's Academic­Influence.com Rankings