Courses Mathematics

GSSI PhD program
Mathematics in Natural, Social and Life Sciences 

 

A.A. 2017-2018


ANALYSIS AND PDEs

P. Marcati (GSSI and University of L’Aquila) - Mathematical problems in Fluid dynamics

P. Antonelli (GSSI) - Introduction to harmonic analysis and dispersive equations

A. Muntean (Carlstadt University) - Reaction-diffusion systems with distributed microstructures

G. Crippa (Basel University) - Exponential Mixing and Loss of Regularity for Incompressible Flows

L. Forcella (EPFL Lausanne) - Nonlinear Schrödinger Equations 

J. Rauch (University of Michigan) - Encounters with Partial Differential Equations

 

STATISTICAL MECHANICS AND DYNAMICAL SYSTEMS 

E. Presutti (GSSI) - Probability and Statistical Mechanics (Presutti)

A. Vulpiani (Sapienza University of Rome) - Chaos, transport and reaction-diffusion

T. Funaki (University of Tokio) – Probability and Statistical Mechanics

C. Marchioro (Sapienza, University of Rome) – Topic in fluid mechanics

S. Poghosyan (National Academy of Sciences of Armenia) – Cluster expansion in statistical mechanics

M. Pulvirenti (Sapienza, University of Rome) - Some mathematical aspects of the Boltzmann equation

 


NUMERICAL METHODS

N. Guglielmi (L’Aquila U.), V. Protasov (L’Aquila U. & Moscow St.U.) - Advanced Topics on Numerical Methods

D. Boffi (Pavia University) TBA

M. Lopez Fernandez  (Sapienza University of Rome) - Contour integral methods for evolutionary PDEsContour integral methods for evolutionary PDEs

C. Lubich (Universität Tübingen) – Dynamical low-rank approximation

G. Russo (Catania University) - Numerical methods for hyperbolic problems

 

 

CONTINUUM MECHANICS

R. Verzicco (Rome 2) - Introduction to Continuum Mechanics

 

 

MATHEMATICAL PROBLEMS IN QUANTUM MECHANICS

A.Teta (Sapienza, University of Rome) - Introduction to quantum mechanics and scattering theory

S. Cenatiempo (GSSI) - Introduction to quantum many body problems

M. Griesemer (University of Stuttgart) - Quantum electrodynamics for atoms and molecules

 

 

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A.A. 2016-2017


ANALYSIS AND PDEs

P. Antonelli (GSSI) - Dispersive equations

T.-Y. Wang (GSSI) - Mathematical Theory of Compressible Euler Equations

P. Marcati (GSSI) - Introduction to the Incompressible Navier Stokes equation and the mathematical theory of Turbulence

S. Kawashima (Kyush Univ.) - Hyperbolic Systems

S. Spirito (University of L’Aquila) - Tutorial on Convex Integration

S. Daneri (Erlangen) - Dissipative Hölder solutions to the incompressible Euler equations

A. Muntean (Carlstadt Univ.) - Reaction-diffusion systems with distributed microstructures

Antonietti (PoliMI) - Discontinuous Galerkin

A. Vulpiani (Sapienza Univ. Roma) - Anomalous Diffusions


 

 

STATISTICAL MECHANICS

R. Fernadez (Utrecht) - Introduction to equilibrium mathematical statistical mechanics

E. Presutti (GSSI) - Mass transport and applications to Markov chains and Gibbs processes

Pulvirenti (Sapienza Univ. Roma) - Scaling Limits and Effective Equations in Kinetic Theory

Galves (São Paulo - Brasil) - Markov chains with infinite memory

 

 

NUMERICAL METHODS

N. Guglielmi (L’Aquila Univ.) – V. Protasov (L’Aquila Univ. & Moscow St.U.) - Advanced Topics on Numerical Methods

D. Boffi (Pavia Univ.) - Introduction to Finite Element

 

 

CONTINUUM MECHANICS

R. Verzicco (Rome 2) - Introduction to Continuum Mechanics

 

 

MATHEMATICAL PROBLEMS IN QUANTUM MECHANICS

A. Teta (Sapienza Univ. Roma) - Introduction to quantum mechanics

S. Cenatiempo (GSSI) - Introduction to Quantum many body problems

B. Schlein (Zürich Univ.) - Quantum many body problems

M. Correggi (Sapienza Univ. Roma) - Vortices in Bose-Einstein condensates