2 papers
math.AP2026
Qualitative Behavior of Solutions to a Forced Nonlocal Thin-Film Equation
Jinhong Zhao, Bin Guo
We study a one-dimensional nonlocal degenerate fourth-order parabolic equation with inhomogeneous forces relevant to hydraulic fracture modeling. Employing a regularization scheme,…
math.AP2026
Asymptotic Stability and the Forcing Term: An Analysis of Non-Newtonian Thin-Film Flows
Jinhong Zhao, Bin Guo
We study a class of fourth-order quasilinear degenerate parabolic equations under both time-and space-dependent and time-and space-independent forces, modeling non-Newtonian thin-f…