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math.AP2025
Asymptotic estimates for solutions of inhomogeneous non-divergence diffusion equations with drifts
Luan Hoang, Akif Ibragimov
We study the long-time dynamics of the nonlinear processes modeled by diffusion-transport partial differential equations in non-divergence form with drifts. The solutions are subje…
math.AP2025
A class of anisotropic diffusion-transport equations in non-divergence form
Luan Hoang, Akif Ibragimov
We generalize Einstein's probabilistic method for the Brownian motion to study compressible fluids in porous media. The multi-dimensional case is considered with general probabilit…