Exploring limit behaviour of non-quadratic terms via H-measures. Application to small amplitude homogenisation (CROSBI ID 229205)
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Podaci o odgovornosti
Lazar, Martin
engleski
Exploring limit behaviour of non-quadratic terms via H-measures. Application to small amplitude homogenisation
A method is developed for analysing asymptotic behaviour of terms involving an arbitrary integer order powers of L p functions by means of H-measures. It is applied to the small amplitude homogenisation problem for a stationary diffusion equation, in which coefficients are assumed to be analytic perturbations of a constant, enabling formulæ for higher order correction terms in a general, non-periodic setting. Explicit expressions in terms of Fourier coefficients are obtained under periodicity assumption. The method allows of its generalisation and application to the corresponding non-stationary equation, as well as to some other small amplitude homogenisation problems.
small amplitude homogenisation ; H-measures ; non-quadratic terms
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Podaci o izdanju
96 (16)
2017.
2832-2845
objavljeno
0003-6811
1563-504X
10.1080/00036811.2016.1248422