3 papers
math.AP2026
A high-frequency tail condition and a diagnostic iteration for the Navier--Stokes equations
Darko Mitrovic
We consider Leray solutions of the three--dimensional incompressible Navier--Stokes equations on with smooth, rapidly decaying initial data. The analysis is based on a frequ…
math.AP2025
Scalar conservation laws with discontinuous flux: existence and uniqueness
Darko Mitrovic
We study the well-posedness of the Cauchy problem for scalar conservation laws with discontinuous, non-degenerate fluxes. Locally, the fluxes are piecewise smooth across interfaces…
math.AP2024
Navigating the Complex Landscape of Shock Filter Cahn-Hilliard Equation: From Regularized to Entropy Solutions
Darko Mitrovic, Andrej Novak
Image inpainting involves filling in damaged or missing regions of an image by utilizing information from the surrounding areas. In this paper, we investigate a highly nonlinear pa…