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of nonlinear dispersive equations and their discretization. The objective will be to establish new robust and efficient schemes for the simulation of quantum fluids dynamics, to perform their numerical analysis
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dynamics specific to these riots, and comparing models and data, and (iii) studying the properties of the models mathematically or using theoretical physics tools. State of the art and review of literature
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and their dynamics in real time. This work will shed light on the interplay between ferroelectric order, interlayer excitons, and dielectric environment, revealing how local optical responses correlate
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understanding the influence of the dielectric environment on interlayer excitons and unraveling the mechanisms governing domain dynamics, such as flipping and domain wall propagation—central to the emerging
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in the field of nonlinear dispersive equations, with a particular focus on the dynamics of multisolitons. This research will be carried out within the framework of the ERC project 'INSOLIT,' led by