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Formation of Singularities in Plasma Ion Dynamics
We study the formation of singularity for the Euler-Poisson system equipped with the Boltzmann relation, which describes the dynamics of ions in an electrostatic plasma.
Analysis of PDEs
Linear Stability of solitary waves for the isothermal Euler-Poisson system
We study the asymptotic linear stability of a two-parameter family of solitary waves for the isothermal Euler-Poisson system.
Analysis of PDEs
Optimal Experimental Design for Uncertain Systems Based on Coupled Differential Equations
We consider the optimal experimental design problem for an uncertain Kuramoto model, which consists of N interacting oscillators described by coupled ordinary differential equations.
