Here is my research on conservation laws, mostly about the solution to a Riemann problem and stability analysis of the solutions.
Enhanced Oil Recovery
From 2017 till 2021 I was involved into a project with oil company GazpromNeft on Enhanced Oil Recovery. Here is the description and my articles on the topic.
Small ball probabilities for Gaussian processes
Here is my research on small ball probabilities for Gaussian processes.
Viscous fingering phenomenon
Here is my research on viscous fingering phenomenon — an instability that occur when you inject a less viscous fluid into a more viscous fluid (e.g. water into oil).