3 papers
math.AP2026
Asymptotic Behaviors of Global Solutions to Fourth-order Parabolic and Hyperbolic Equations with Dirichlet Boundary Conditions
Wenlong Wu, Yanyan Zhang
This paper investigates the asymptotic behaviors of global solutions to fourth-order parabolic and hyperbolic equations with Dirichlet boundary conditions. The equations model Micr…
math.AP2026
Well-posedness and asymptotic behavior of solutions to a second order nonlocal parabolic MEMS equation
Yufei Wei, Yanyan Zhang
We consider a second-order nonlocal parabolic MEMS equation with Dirichlet boundary conditions: \[ u_t-Îu=\fracλ{(1-u)^2\bigl(1+\int_Ω\frac{1}{1-u}\,dx\bigr)^2},\quad x\inΩ,\ t…
math.AP2026
Asymptotic Behavior of Rupture Solutions for the Elliptic MEMS Equation with Hénon-Type and External Pressure Terms
Yunxiao Li, Yanyan Zhang
This paper investigates an elliptic MEMS-Type equation with Henon and external pressure terms: Delta u = lambda|x|^alpha / u^p + F for x in R^N \ {0}, with u(0)=0 and u>0 for x in…