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
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.
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.
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.
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.
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Convergence of approximation schemes for fully nonlinear second order equations
G. Barles;P.E. Souganidis.
Asymptotic Analysis (1991)
Phase Transitions and Generalized Motion by Mean Curvature
L. C. Evans;H. M. Soner;P. E. Souganidis.
Communications on Pure and Applied Mathematics (1992)
Differential Games and Representation Formulas for Solutions of Hamilton-Jacobi-Isaacs Equations.
L C Evans;P E Souganidis.
Indiana University Mathematics Journal (1983)
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)
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)
Approximation schemes for viscosity solutions of Hamilton-Jacobi equations
Panagiotis E Souganidis.
Journal of Differential Equations (1983)
Stochastic homogenization of Hamilton–Jacobi equations and some applications
Panagiotis E. Souganidis.
Asymptotic Analysis (1999)
Fully nonlinear stochastic partial differential equations
Pierre-Louis Lions;Panagiotis E. Souganidis.
Comptes Rendus De L Academie Des Sciences Serie I-mathematique (1998)
Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales
A J Majda;P E Souganidis.
Homogenization of “Viscous” Hamilton–Jacobi Equations in Stationary Ergodic Media
Pierre-Louis Lions;Panagiotis E. Souganidis.
Pediatric Dermatology (2005)
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