Emergence of peaked singularities in the Euler-Poisson system
Emergence of peaked singularities in the Euler-Poisson system
We consider the one-dimensional Euler-Poisson system equipped with the Boltzmann relation and provide the exact asymptotic behavior of the peaked solitary wave solutions near the peak. This enables us to study the cold ion limit of the peaked solitary waves with the sharp range of H\"older exponents. Furthermore, we provide …