4 papers
Linear non-divergence parabolic equations in non-cylindrical space-time sets
Luan Hoang, Akif Ibragimov
We study linear parabolic equations of the second order in non-divergence form in a general set which is non-cylindrical with respect to the spatial and time variables. The restric…
Linear non-divergence elliptic equations in a bounded, infinitely winding planar domain
Luan Hoang, Akif Ibragimov
We study the second order elliptic equations of non-divergence form in a planar domain with complicated geometry. In this case the domain winds around a fixed circle infinitely man…
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…
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…