Comportamento Assintótico da Equação de Bernoulli-Euler com Dissipação Localizada e Efeito de Inércia Rotacional

Authors

  • C.R.A. da Silva Jr.
  • R.C. Charão

DOI:

https://doi.org/10.5540/tema.2007.08.02.0309

Abstract

Neste trabalho estudamos o comportamento assintótico da energia do problema de valor inicial e de fronteira associado com a equa cão de Bernoulli-Euler com efeito de inércia rotacional e um termo não linear dissipativo localizado em uma vizinhança da fronteira do domínio. O comportamento assintótico da energia no tempo é obtido com taxas de decaimento explícitas. Esse resultado é obtido utilizando-se o lema de Nakao, estimativas de energia via multiplicadores localizados e um argumento de “compacidade-unicidade”baseado no princípio de continuação única. O comportamento assintótico é válido para a equação de Bernoulli-Euler sem efeito de inércia rotacional ou para a equa cão de placas com efeito de inércia rotacional.

References

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Published

2007-08-13

How to Cite

da Silva Jr., C., & Charão, R. (2007). Comportamento Assintótico da Equação de Bernoulli-Euler com Dissipação Localizada e Efeito de Inércia Rotacional. Trends in Computational and Applied Mathematics, 8(2), 309–318. https://doi.org/10.5540/tema.2007.08.02.0309

Issue

Vol. 8 No. 2 (2007)

Section

Original Article

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