Partial Differential Equations Arising from Physics and Geometry

In this edited volume leaders in the field of partial differential equations present recent work on topics in PDEs arising from geometry and physics. The papers originate from a 2015 research school organized by CIMPA and MIMS in Hammamet, Tunisia to celebrate the 60th birthday of the late Professor Abbas Bahri. The opening chapter commemorates his life and work. While the research presented in this book is cutting-edge, the treatment throughout is at a level accessible to graduate students. It includes short courses offering readers a unique opportunity to learn the state of the art in evolution equations and mathematical models in physics, which will serve as an introduction for students and a useful reference for established researchers. Finally, the volume includes many open problems to inspire the next generation.

Mohamed Ben Ayed is Professor at the Université de Sfax, Tunisia. Mohamed Ali Jendoubi is Professor at the Université de Carthage, Tunisia. Yomna Rebai is Professor at the Ecole Polytechnique de Tunisie and at the Université de Carthage, Tunisia. Hasna Riahi is Assistant Professor at Ecole Nationale d'Ingénieurs de Tunis, Université Tunis El-Manar, Tunis, Tunisia. Hatem Zaag is a Senior Centre National de la Recherche Scientifique Researcher at Université de Paris XIII, France.