Donald Aronson

Q: What Schools Are Affiliated With Donald Aronson

Donald Aronson is affiliated with the following schools: University of California, Berkeley, University of Minnesota, Princeton University, Massachusetts Institute of Technology

Donald Aronson's AcademicInfluence.com Rankings

Donald Aronson

Mathematics

#6419

World Rank

#8893

Historical Rank

Measure Theory

#1485

World Rank

#1856

Historical Rank

mathematics Degrees

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Mathematics

Donald Aronson's Degrees

PhD Mathematics Princeton University

Why Is Donald Aronson Influential?

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According to Wikipedia, Donald Aronson was an American mathematician at the University of Minnesota. He was an Elected Fellow of the American Mathematical Society.

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Donald Aronson'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

Multidimensional nonlinear di u-sion arising in population genetics (1978) (1697)
Nonlinear diffusion in population genetics, combustion, and nerve pulse propagation (1975) (1184)
The porous medium equation (1986) (1139)
Bounds for the fundamental solution of a parabolic equation (1967) (586)
Non-negative solutions of linear parabolic equations (1968) (543)
Amplitude response of coupled oscillators (1990) (470)
Stabilization of solutions of a degenerate nonlinear diffusion problem (1982) (378)
Local behavior of solutions of quasilinear parabolic equations (1967) (334)
Large time behaviour of solutions of the porous medium equation in bounded domains (1981) (220)
Regularity Propeties of Flows Through Porous Media (1969) (201)
Spatial patterning of the spruce budworm (1979) (191)
The initial trace of a solution of the porous medium equation (1983) (175)
Density-Dependent Interaction–Diffusion Systems (1980) (133)
Regularity properties of flows through porous media: The interface (1970) (124)
Regularity Properties of Flows Through Porous Media: A Counterexample (1970) (113)
How an Initially Stationary Interface Begins to Move in Porous Medium Flow (1983) (95)
An analytical and numerical study of the bifurcations in a system of linearly-coupled oscillators (1987) (92)
A selfsimilar solution to the focusing problem for the porous medium equation (1993) (92)
Coupled arrays of Josephson junctions and bifurcation of maps with SN symmetry (1991) (81)
Ponies on a merry-go-round in large arrays of Josephson junctions (1991) (78)
Parabolic equations with unbounded coefficients (1967) (64)
The Role of Diffusion in Mathematical Population Biology: Skellam Revisited (1985) (62)
Eventual C∞-regularity and concavity for flows in one-dimensional porous media (1987) (59)
The focusing problem for the radially symmetric porous medium equation (1995) (50)
Interfaces with a corner point in one-dimensional porous medium flow (1985) (48)
Regularity Properties of Flows Through Porous Media (2008) (41)
Uniqueness of positive solutions of parabolic equations with unbounded coefficients (1967) (41)
Uniqueness of solutions of the Cauchy problem for parabolic equations*1 (1966) (36)
On the Green's function for second order parabolic differential equations with discontinuous coefficients (1963) (35)
Anomalous exponents in nonlinear diffusion (1993) (32)
Uniqueness of positive weak solutions of second order parabolic equations (1965) (30)
The dynamics of coupled current-biased Josephson junctions (1988) (29)
The fundamental solution of a linear parabolic equation containing a small parameter (1959) (29)
Optimal Regularity for One-Dimensional Porous Medium Flow (1986) (27)
Limit behaviour of focusing solutions to nonlinear diffusions (1998) (27)
Focusing of an elongated hole in porous medium flow (2001) (26)
The Porous Medium Equation as a Finite-speed Approximation to a Hamilton-Jacobi Equation (1987) (26)
Global stability of symmetric and asymmetric concentration profiles in catalyst particles (1974) (25)
Renormalization study of two-dimensional convergent solutions of the porous medium equation (1999) (25)
Regularity of Flows in Porous Media: A Survey (1988) (24)
Removable singularities for linear parabolic equations (1964) (22)
THE DYNAMICS OF COUPLED CURRENT-BIASED JOSEPHSON JUNCTIONS — PART II (1991) (20)
Limit and uniqueness of discrete rotating waves in large arrays of Josephson junctions (1994) (20)
A density-dependent diffusion system with stable discontinuous stationary solutions (1988) (19)
On the stability of certain finite difference approximations to parabolic systems of differential equations (1963) (18)
Isolated singularities of solutions of second order parabolic equations (1965) (18)
WAVE PROPAGATION AND BLOCKING IN INHOMOGENEOUS MEDIA (2005) (17)
Homoclinic twist bifurcations with ℤ2 symmetry (1994) (17)
The stability of finite difference approximations to second order linear parabolic differential equations (1963) (16)
Intermediate asymptotics for convergent viscous gravity currents (1995) (15)
Non-axial self-similar hole filling for the porous medium equation (2001) (15)
Linear Parabolic Differential Equations Containing a Small Parameter (1956) (14)
Noncircular converging flows in viscous gravity currents (1998) (12)
A maximum principle for nonlinear parabolic equations (1967) (12)
Parametric dependence of exponents and eigenvalues in focusing porous media flows (2003) (12)
Single waveform solutions for linear arrays of Josephson junctions (1997) (11)
Self-similarity in the post-focussing regime in porous medium flows (1996) (11)
Semirotors in the Josephson junction equations (1996) (10)
Non-negative solutions of linear parabolic equations : an addendum (1971) (10)
Patterns and Dynamics in Reactive Media (2011) (9)
On the initial value problem for parabolic systems of differential equations (1959) (7)
Correction to “uniqueness of solutions of the Cauchy problem for parabolic equations” (1967) (7)
Pattern Formation in a Model of an Injured Nerve Fiber (2009) (6)
Bistable Behavior in Coupled Oscillators (1986) (5)
NONLINEAR DIFFUSION PROBLEM (5)
OSCILLATION IN A NON-LINEAR PARABOLIC MODEL OF SEPARATED, COOPERATIVELY COUPLED ENZYMES (1977) (4)
A codimension-two point associated with coupled Josephson junctions (1997) (4)
The focusing problem for the porous medium equation: Experiment, simulation and analysis (2016) (4)
Resonance and bistability in coupled oscillators (1986) (4)
The dynamics of a degenerate reaction diffusion equation (1994) (3)
Parabolic equations with non-smooth coefficients (1962) (2)
DISCRETE ROTATING WAVE SOLUTIONS FOR SYSTEM OF GLOBALLY COUPLED JOSEPHSON JUNCTIONS (1996) (2)
Disappearance of phase in the Stefan problem: one space dimension (1990) (1)
Large Arrays of Linearly Coupled Josephson Junctions: A Survey (2017) (0)
Abstracts of the workshop on statistical mechanics, dynamical systems, and turbulence (1983) (0)
BIFURCATIONS OF STATIC AND PERIODIC SOLUTIONS IN LINEARLY-COUPLED NONLINEAR OSCILLATORS. (1982) (0)
The homoclinic twist bifurcation point (1992) (0)
Mathematics in High-performance Computing News and Notes Mathematical and Computational Issues in Drug Design Mathematical and Computational Issues in Drug Design Future Directions in Mathematical Sciences Grid Generation and Adaptive Algorithms Workshop Imaging of Corrosion in Plates by Eddy Curren (1997) (0)
Book Review: Degenerate diffusions (2009) (0)
The Dynamics of SQUIDs and Coupled Pendula (2007) (0)
Deterministic epidemic models with long-range transport (1980) (0)
Wave Block in Cellular Systems : Setting the Range of Calcium Waves in Astrocyte Networks (2002) (0)
Spatial Models in Epidemiology and Genetics (1980) (0)
The Dynamics of SQUIDs and Coupled (2007) (0)
Self-similar focusing in porous media: An explicit calculation (2008) (0)

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What Schools Are Affiliated With Donald Aronson?

Donald Aronson is affiliated with the following schools:

Donald Aronson's Academic­Influence.com Rankings