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math.DS2022★ 1 cited
Stability analysis of a stochastic port-Hamiltonian car-following model
Barbara Rüdiger, Antoine Tordeux, Baris Ugurcan
Port-Hamiltonian systems are pertinent representations of many nonlinear physical systems. In this study, we formulate and analyse a general class of stochastic car-following model…
math.AP2022★ 1 cited
Anderson Hamiltonian and associated Nonlinear Stochastic Wave and Schrödinger equations in the full space
Baris Evren Ugurcan
In this article, we study the Anderson Hamiltonian in the full space and prove wellposedness of nonlinear stochastic wave equation and NLS with polynomial nonlinearities.