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- Panagiotis E. Souganidis

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
54
Citations
11,343
148
World Ranking
614
National Ranking
319

2017 - Fellow of the American Association for the Advancement of Science (AAAS)

2017 - Member of the European Academy of Sciences

2015 - SIAM Fellow For contributions to the theory and numerical solution of both deterministic and stochastic partial differential equations and their applications.

2013 - Fellow of the American Mathematical Society

1989 - Fellow of Alfred P. Sloan Foundation

- Mathematical analysis
- Partial differential equation
- Geometry

Panagiotis E. Souganidis mostly deals with Mathematical analysis, Partial differential equation, Homogenization, Hamilton–Jacobi equation and Viscosity solution. In his work, Panagiotis E. Souganidis performs multidisciplinary research in Mathematical analysis and Viscosity. He focuses mostly in the field of Partial differential equation, narrowing it down to matters related to Elliptic curve and, in some cases, Elliptic partial differential equation.

His research integrates issues of Viscosity, Differential and Integrable system in his study of Hamilton–Jacobi equation. His Differential research includes elements of PDE surface, Finite difference and Type, Algebra. His study on Viscosity solution is covered under Applied mathematics.

- Convergence of approximation schemes for fully nonlinear second order equations (877 citations)
- Phase Transitions and Generalized Motion by Mean Curvature (422 citations)
- Differential Games and Representation Formulas for Solutions of Hamilton-Jacobi-Isaacs Equations. (416 citations)

Mathematical analysis, Homogenization, Hamilton–Jacobi equation, Partial differential equation and Applied mathematics are his primary areas of study. His work on Viscosity solution, Uniqueness and Parabolic partial differential equation as part of general Mathematical analysis research is frequently linked to Degenerate energy levels and Rate of convergence, thereby connecting diverse disciplines of science. His Viscosity solution study combines topics from a wide range of disciplines, such as Differential and Monotone polygon.

His Hamilton–Jacobi equation study incorporates themes from Piecewise linear function, Pure mathematics and Regular polygon. As part of his studies on Partial differential equation, Panagiotis E. Souganidis often connects relevant areas like Elliptic curve. The study incorporates disciplines such as Conservation law, Work and Limit in addition to Applied mathematics.

- Mathematical analysis (74.44%)
- Homogenization (27.78%)
- Hamilton–Jacobi equation (22.78%)

- Mathematical analysis (74.44%)
- Applied mathematics (18.33%)
- Hamilton–Jacobi equation (22.78%)

Panagiotis E. Souganidis spends much of his time researching Mathematical analysis, Applied mathematics, Hamilton–Jacobi equation, Homogenization and Degenerate energy levels. Panagiotis E. Souganidis performs multidisciplinary study on Mathematical analysis and Limiting in his works. His work in the fields of Applied mathematics, such as Viscosity solution, overlaps with other areas such as Homogeneous and Rate of convergence.

His Regular polygon research extends to the thematically linked field of Hamilton–Jacobi equation. Degenerate energy levels combines with fields such as Conservation law, Eikonal equation, Riemannian geometry, Partial differential equation and Uniqueness in his research. His research integrates issues of Viscosity and Classification of discontinuities in his study of Uniqueness.

- Long-time behavior, invariant measures and regularizing effects for stochastic scalar conservation laws (56 citations)
- Stochastic non-isotropic degenerate parabolic–hyperbolic equations (23 citations)
- Eikonal equations and pathwise solutions to fully non-linear SPDEs (21 citations)

- Mathematical analysis
- Geometry
- Algebra

His primary areas of study are Mathematical analysis, Applied mathematics, Conservation law, Degenerate energy levels and Homogeneous. His study on Hamilton–Jacobi equation and Multiplicative function is often connected to Homogenization and Mathematical model as part of broader study in Mathematical analysis. His work carried out in the field of Applied mathematics brings together such families of science as Mathematical proof, Limit and Type.

His Conservation law research integrates issues from Entropy, Kinetic energy and Scalar. Panagiotis E. Souganidis connects Degenerate energy levels with Partial differential equation in his study. Panagiotis E. Souganidis works mostly in the field of Partial differential equation, limiting it down to concerns involving Numerical analysis and, occasionally, Uniqueness.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Convergence of approximation schemes for fully nonlinear second order equations

G. Barles;P.E. Souganidis.

Asymptotic Analysis **(1991)**

1507 Citations

Phase Transitions and Generalized Motion by Mean Curvature

L. C. Evans;H. M. Soner;P. E. Souganidis.

Communications on Pure and Applied Mathematics **(1992)**

688 Citations

Differential Games and Representation Formulas for Solutions of Hamilton-Jacobi-Isaacs Equations.

L C Evans;P E Souganidis.

Indiana University Mathematics Journal **(1983)**

665 Citations

Stability and Instability of Solitary Waves of Korteweg-de Vries Type

J. L. Bona;P. E. Souganidis;W. A. Strauss.

Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences **(1987)**

514 Citations

Existence and stability of entropy solutions for the hyperbolic systems of isentropic gas dynamics in Eulerian and Lagrangian coordinates

Pierre-Louis Lions;Benoît Perthame;Panagiotis E. Souganidis.

Communications on Pure and Applied Mathematics **(1998)**

441 Citations

Approximation schemes for viscosity solutions of Hamilton-Jacobi equations

Panagiotis E Souganidis.

Journal of Differential Equations **(1983)**

396 Citations

Stochastic homogenization of Hamilton–Jacobi equations and some applications

Panagiotis E. Souganidis.

Asymptotic Analysis **(1999)**

262 Citations

Fully nonlinear stochastic partial differential equations

Pierre-Louis Lions;Panagiotis E. Souganidis.

Comptes Rendus De L Academie Des Sciences Serie I-mathematique **(1998)**

252 Citations

Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales

A J Majda;P E Souganidis.

Nonlinearity **(1994)**

236 Citations

Homogenization of “Viscous” Hamilton–Jacobi Equations in Stationary Ergodic Media

Pierre-Louis Lions;Panagiotis E. Souganidis.

Pediatric Dermatology **(2005)**

229 Citations

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