Browsing Department of Materials Science and Metallurgy by Author "Markowich, Peter A."
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On some nonlinear partial differential equations for classical and quantum many body systems
(University of CambridgeDepartment of Applied Mathematics and Theoretical PhysicsClare Hall, 2012-11-13)This thesis deals with problems arising in the study of nonlinear partial differential equations arising from many-body problems. It is divided into two parts: The first part concerns the derivation of a nonlinear diffusion ...
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On some partial differential equation models in socio-economic contexts - analysis and numerical simulations
(University of CambridgeDepartent of Applied Mathhematics and Theoretical PhysicsTrinity College, 2012-01-10)This thesis deals with the analysis and numerical simulation of different partial differential equation models arising in socioeconomic sciences. It is divided into two parts: The first part deals with a mean-field price ...