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Spatial behavior of solutions for a large class of non-local PDE's arising from stratified flows

Analysis of PDEs 2021-05-04 v2

Abstract

We propose a theoretical model of a non-local dipersive-dissipative equation which contains as a particular case a large class of non-local PDE's arising from stratified flows. Within this fairly general framework, we study the spatial behavior of solutions proving some sharp pointwise and averaged decay properties as well as some pointwise grow properties.

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Cite

@article{arxiv.2006.09594,
  title  = {Spatial behavior of solutions for a large class of non-local PDE's arising from stratified flows},
  author = {Manuel Fernando Cortez and Oscar Jarrin},
  journal= {arXiv preprint arXiv:2006.09594},
  year   = {2021}
}

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35 pages