Open AccessOptimal Polynomial Decay to Coupled Wave Equations and Its Numerical Properties
Author(s) -
R. F. C. Lobato,
Sebastião Martins Siqueira Cordeiro,
M.L. Santos,
D. S. Almeida Júnior
Publication year - 2014
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2014/897080
Subject(s) - dissipative system , work (physics) , polynomial , mathematics , order (exchange) , wave equation , physics , mathematical analysis , statistical physics , quantum mechanics , finance , economics
In this work we consider a coupled system of two weakly dissipative wave equations. We showthat the solution of this system decays polynomially and the decay rate is optimal. Computational experiments are conducted in the one-dimensional case in order to show that the energies properties are preserved. In particular, we use finite differences and also spectral methods
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom