Conference on Partial Differential Equations

Conference on Partial Differential Equations
Name	Conference on Partial Differential Equations
Status	Active
Genre	Academic conference
Frequency	Biennial
First	1970
Organizer	International Mathematical Union
Country	International

Contents

Conference on Partial Differential Equations is an international scholarly meeting focused on the theory, analysis, numerical methods, and applications of partial differential equations. Founded to bridge advances from pure mathematicians to applied scientists, the conference attracts participation from researchers affiliated with Princeton University, Massachusetts Institute of Technology, University of Cambridge, University of Oxford, and research institutes such as the Institute for Advanced Study and the Max Planck Society. Proceedings and talks frequently interact with topics from other meetings including the International Congress of Mathematicians, the SIAM Annual Meeting, the European Congress of Mathematics, the Journées Équations aux Dérivées Partielles, and workshops at the Fields Institute.

History

The conference traces origins to workshops hosted at Princeton University and the Courant Institute in the late 1960s and early 1970s that responded to breakthroughs associated with figures connected to John von Neumann, Andrey Kolmogorov, Ludwig Prandtl, and later developments tied to work by Sergei Sobolev, Laurent Schwartz, Ennio de Giorgi, and Jean Leray. Early editions featured cross-collaboration with the National Academy of Sciences, the Royal Society, and national academies including the Académie des Sciences and the Deutsche Forschungsgemeinschaft. Through the 1980s and 1990s the conference expanded alongside advances recognized by awards such as the Fields Medal, the Abel Prize, the Chern Medal, and prizes from the American Mathematical Society and the European Mathematical Society.

Sessions span rigorous analysis historically developed from work by Sofia Kovalevskaya, Joseph Fourier, Carl Friedrich Gauss, and Bernhard Riemann to modern topics influenced by contributors like Peter Lax, Louis Nirenberg, Terence Tao, Cédric Villani, and Luis Caffarelli. Themes include elliptic theory with roots in Émile Picard and David Hilbert, hyperbolic systems building on Riemann problem traditions, parabolic regularity linked to Joseph-Louis Lagrange, stochastic PDEs connected to Norbert Wiener and Kiyoshi Itô, nonlinear dispersive equations tied to John Scott Russell and Andrei Sakharov, and numerical analysis related to methods from Richard Courant and Alfred Hales. Interdisciplinary sessions highlight applications to problems traditionally studied at institutions such as NASA, CERN, Los Alamos National Laboratory, and Sandia National Laboratories.

Milestone editions have occurred at venues including the Institute for Advanced Study, the Collège de France, École Polytechnique, University of California, Berkeley, and the University of Tokyo. Proceedings series have been published with presses and journals such as Springer Science+Business Media, Elsevier, the American Mathematical Society publications, and special issues in the Annals of Mathematics, Communications on Pure and Applied Mathematics, and Journal of Differential Equations. Special volumes have commemorated advances associated with landmark results like the resolution of the Navier–Stokes existence and smoothness problem, regularity results following work by Ennio de Giorgi and John Nash, and dispersive estimates inspired by Sergiu Klainerman.

Outcomes have influenced advances acknowledged by institutions like Microsoft Research, IBM Research, Google DeepMind, and industrial partners including Airbus and Boeing where PDE-based models inform aerodynamics and material science. The conference has catalyzed collaborations that contributed to breakthroughs in climate modeling linked to Intergovernmental Panel on Climate Change, medical imaging techniques associated with Siemens Healthineers and GE Healthcare, and financial mathematics utilized by firms such as Goldman Sachs and J.P. Morgan Chase.

Typical logistic arrangements mirror practices of gatherings at the Royal Institution, Palace of Westminster-adjacent venues, and university campuses like Harvard University and Stanford University. Submission pipelines accept abstracts through platforms used by the American Mathematical Society and SIAM, with peer review by program committees chaired by fellows of the American Academy of Arts and Sciences and members of national academies such as the Russian Academy of Sciences and the Chinese Academy of Sciences. Registration tiers follow models of the Society for Industrial and Applied Mathematics and the European Mathematical Society with options for student, academic, and industry attendees.

Category:Mathematics conferences