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5 papers · 2 filters
Exponential decay estimates for the stability of boundary layer solutions to Poisson-Nernst-Planck systems: one spatial dimension case
Chia-Yu Hsieh, Tai-Chia Lin
With a small parameter , Poisson-Nernst-Planck (PNP) systems over a finite one-dimensional (1D) spatial domain have steady state solutions, called 1D boundary layer solutions, w…
Carleman estimate for second order elliptic equations with Lipschitz leading coefficients and jumps at an interface
M. Di Cristo, E. Francini, C. -L. Lin +2
In this paper we prove a local Carleman estimate for second order elliptic equations with a general anisotropic Lipschitz coefficients having a jump at an interface. Our approach d…
Boundary Layer Solutions of Charge Conserving Poisson-Boltzmann Equations: One-Dimensional Case
Chiun-Chang Lee, Hijin Lee, YunKyong Hyon +2
For multispecies ions, we study boundary layer solutions of charge conserving Poisson-Boltzmann (CCPB) equations [50] (with a small parameter ǫ) over a finite one-dimensional (1D)…
Energy concentration of the focusing energy-critical FNLS
Yonggeun Cho, Gyeongha Hwang, Yong-Sun Shim
We consider the fractional nonlinear Schrödinger equation (FNLS) with general dispersion and focusing energy-critical nonlinearities and $-(|x|^…
The enclosure method for the anisotropic Maxwell system
Rulin Kuan, Yi-Hsuan Lin, Mourad Sini
We develop an enclosure-type reconstruction scheme to identify penetrable and impenetrable obstacles in electromagnetic field with anisotropic medium in \mathbb{R}^{3}. The main di…