About Peter Markowich Peter Markowich Al-Khawarzmi Distinguished Professor, Applied Mathematics and Computational Science Applied Partial Differential Equations diffusive phenomena generalized Sobolev inequalities inverse problems quantum mechanical kinetic theory mean-field games A distinguished professor of applied mathematics and computational science, Dr. Markowich is the author of over 200 publications in leading international journals and circa 14,000 citations. Events Presented Events Jan 29 - Feb 4, 2023 Applied Nonlinear Partial Differential Equations (PDEs) Peter Markowich, Al-Khawarzmi Distinguished Professor, Applied Mathematics and Computational Science Jan 30, 14:30 - Jan 31, 17:15 KAUST Most phenomena in Nature are nonlinear, and their modeling requires nonlinear partial differential equations (PDE). These are elusive objects, and solving them explicitly is almost always out of reach. We are then left to prove that solutions exist, are unique, satisfy specific properties that somehow characterize them, and then implement numerical methods to approximate those solutions. Existence shows we are modeling a real problem and uniqueness that it is meaningful. However, for the model to be useful and the numerical methods to converge, we need to understand the behavior of the
Applied Nonlinear Partial Differential Equations (PDEs) Peter Markowich, Al-Khawarzmi Distinguished Professor, Applied Mathematics and Computational Science Jan 30, 14:30 - Jan 31, 17:15 KAUST Most phenomena in Nature are nonlinear, and their modeling requires nonlinear partial differential equations (PDE). These are elusive objects, and solving them explicitly is almost always out of reach. We are then left to prove that solutions exist, are unique, satisfy specific properties that somehow characterize them, and then implement numerical methods to approximate those solutions. Existence shows we are modeling a real problem and uniqueness that it is meaningful. However, for the model to be useful and the numerical methods to converge, we need to understand the behavior of the
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