Radial symmetric stationary solutions for a MEMS type reaction-diffusion equation with spatially dependent nonlinearity

DOI10.1007/s13160-020-00438-8zbMath1468.34030OpenAlexW3082710922MaRDI QIDQ2024614

Takashi Okuda, Yu Ichida

Publication date: 4 May 2021

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-020-00438-8

zbMATH Keywords

asymptotic behaviorPoincaré compactificationMEMS equationdesingularization of vector fields (blow-up)radial symmetric stationary solutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items (8)

On global behavior of a some SIR epidemic model based on the Poincaré compactification ⋮ Radially symmetric stationary solutions for a MEMS type reaction–diffusion equation with fringing field ⋮ Radially symmetric stationary solutions for certain chemotaxis systems in higher dimensions: a geometric approach ⋮ Approximate analytical solution of the generalized Kolmogorov-Petrovsky-Piskunov equation with cubic nonlinearity ⋮ Unnamed Item ⋮ Traveling wave solutions for degenerate nonlinear parabolic equations ⋮ Stationary solutions for a 1D PDE problem with gradient term and negative powers nonlinearity ⋮ Classification of nonnegative traveling wave solutions for the 1D degenerate parabolic equations

Cites Work

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• Qualitative theory of planar differential systems
• Positive solutions of super-critical elliptic equations and asymptotics
• Analysis of the Dynamics and Touchdown in a Model of Electrostatic MEMS
• On Blow-Up Solutions of Differential Equations with Poincaré-Type Compactifications
• Profile of a touch-down solution to a nonlocal MEMS model
• Nonlocal problems in MEMS device control

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