Well-posedness and orbital stability of traveling waves for the Schrödinger-improved Boussinesq system
Amin Esfahani, Ademir Pastor
ARTIGO
Inglês
Considered here is the Schrödinger-improved Boussinesq system. First we prove local and global well-posedness in the energy space for the periodic initial-value problem. The proof combines a Strichartz-type estimate with the contraction mapping principle. Second we establish the existence and...
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Considered here is the Schrödinger-improved Boussinesq system. First we prove local and global well-posedness in the energy space for the periodic initial-value problem. The proof combines a Strichartz-type estimate with the contraction mapping principle. Second we establish the existence and orbital stability of periodic and solitary traveling-wave solutions. The stability results are set out in the context of abstract Hamiltonian systems
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FUNDAÇÃO DE AMPARO À PESQUISA DO ESTADO DE SÃO PAULO - FAPESP
303374/2013-6
CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO - CNPQ
2013/08050-7
fechado
Well-posedness and orbital stability of traveling waves for the Schrödinger-improved Boussinesq system
Amin Esfahani, Ademir Pastor
Well-posedness and orbital stability of traveling waves for the Schrödinger-improved Boussinesq system
Amin Esfahani, Ademir Pastor
Fontes
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Nonlinear analysis: real world applications (Fonte avulsa) |