# Schr\"odinger-improved Boussinesq system in two space dimensions

@inproceedings{Ozawa2022SchrodingerimprovedBS, title={Schr\"odinger-improved Boussinesq system in two space dimensions}, author={Tohru Ozawa and Kenta Tomioka}, year={2022} }

We study the Cauchy problem for the Schrödinger-improved Boussinesq system in a two dimentional domain. Under natural assumptions on the data without smallness, we prove the existence and uniqueness of global strong solutions. Moreover, we consider the vanishing ”improvement” limit of global solusions as the coefficient of the linear term of the highest order in the equation of ion sound waves tends to zero. Under the same smallness assumption on the data as in the Zakharov case, solutions in…

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