Stratonovich solution for hyperbolic Anderson model with space-time homogeneous Gaussian noise

Stochastic partial differential equations (SPDEs) are mathematical models that describe random phenomena evolving over space and time. SPDEs underpin modern approaches to modeling phenomena in fields such as climate science, neuroscience, financial mathematics, engineering and quantum physics. The aim of the project is to construct a new solution to a particular SPDE and investigate the properties and representations of the solution. These developments, which would be new to the scientific community, are relevant to both the physical applications when modeling such equations and the theoretical applications when investigating other SPDEs. Hence, a successful project would form a basis for publication between the intern and supervisors, thereby bolstering the portfolios of both research teams and fostering future collaboration between the institutions.

Faculty Supervisor:

Raluca Balan

Student:

Partner:

Boston University

Discipline:

Mathematics

Sector:

Education

University:

University of Ottawa

Program: