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Title: Differential Equations and their Applications in Problems of Phase Transitions
Abstract: Differential equations are a fundamental tool for the mathematical modeling of phenomena, with applications in fields such as physics, biology, and medicine. This lecture focuses on nonlinear partial differential equations and their contribution in the study of phase transition problems. After an introduction to the general framework, characteristic examples of nonlinear partial differential equations will be discussed, along with their stochastic extensions, which incorporate random perturbations into phase transition models. Mathematical results concerning the evolution, dynamics, and properties of solutions will be presented, highlighting how the inclusion of stochastic terms can enhance the modeling of complex phenomena and open up new perspectives for studying their evolution.
Dr Georgia Karali
Speaker
Dr Georgia Karali
Asst Professor
Department of Mathematics, National Kapodistrian University of Athens
Georgia D. Karali is an Associate Professor in the Department of Mathematics at the National and Kapodistrian University of Athens. She received her undergraduate degree, as well as her master's and doctoral degrees, from the Department of Mathematics of the National and Kapodistrian University of Athens (NKUA). She has held postdoctoral research positions at the Istituto per le Applicazioni del Calcolo (Rome, Italy), the University of Toronto (Canada), and has served as a Visiting Assistant Professor at the University of Massachusetts (USA). Subsequently, she held the positions of Assistant Professor, Associate Professor, and Professor at the University of Crete.
She has a rich and extensive body of scientific work that includes papers in high-impact and prestigious peer-reviewed international journals, and she actively participates with lectures at conferences in Europe, the USA, Canada, and Japan. She has served as Scientific Supervisor in competitive European and national research programs. She is a reviewer for international journals, has taught a wide range of courses in Greece and abroad, and has supervised postdoctoral researchers, PhD students, as well as master's and undergraduate theses. She has also been the main organizer of numerous major international conferences of high prestige. Her research interests include differential equations, stochastic differential equations, and their applications.
For more information visit the speaker's website: http://users.uoa.gr/~gkarali/
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