Long time dynamics of nonequilibrium electroconvection
FN Lee - Transactions of the American Mathematical Society, 2024 - ams.org
The Nernst-Planck-Stokes (NPS) system models electroconvection of ions in a fluid. We
consider the system, for two oppositely charged ionic species, on three dimensional …
consider the system, for two oppositely charged ionic species, on three dimensional …
Existence of Solutions to the Poisson--Nernst--Planck System with Singular Permanent Charges in
CY Hsieh, Y Yu - SIAM Journal on Mathematical Analysis, 2022 - SIAM
In this paper, we study the well-posedness of the Poisson--Nernst--Planck system with no-
flux boundary condition and singular permanent charges in two dimensions. The main …
flux boundary condition and singular permanent charges in two dimensions. The main …
Domain-size effects on boundary layers of a nonlocal sinh–Gordon equation
CC Lee - Nonlinear Analysis, 2021 - Elsevier
This work investigates a nonlocal sinh–Gordon equation with a singularly perturbed
parameter in a ball. Under the Robin boundary condition, the solution asymptotically forms a …
parameter in a ball. Under the Robin boundary condition, the solution asymptotically forms a …
Singular solutions to some semilinear elliptic equations: an approach of Born–Infeld approximation
We construct singular solutions to a semilinear elliptic equation with exponential nonlinearity
on $\Omega\subset\mathbb {R}^ 2$ by a shrinking hole argument, which we call Born–Infeld …
on $\Omega\subset\mathbb {R}^ 2$ by a shrinking hole argument, which we call Born–Infeld …