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My research combines techniques in infinitesimal stochastic analysis and classical analysis to study (S)PDEs arising from the dynamics of fluids and solvent-solute mixtures. More specifically, I study asymptotic limits to several scaled compressible fluid equations that are driven by deterministic and/or random forces. Related to this are well-posedness and regularity results for the Navier-Stokes and Euler equations.

In summary, my main research interests may be classified under the following:

• Mathematical fluid dynamics,

• Mathematical material science,

• Singular limit asymptotics,

• (Stochastic) partial differential equations.

My other research interests include the mathematical analysis of fluid-Kinetic models and the study of convergence rates of numerical solutions to nonlinear PDEs in generalized spaces.