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A priori estimates for finite-energy sequences of Muller's functional with non-coercive two-well potential with symmetrically placed wells

Andrija Raguž orcid id orcid.org/0000-0001-8045-9636 ; Department of Mathematics and Statistics, Zagreb School of Economics and Management, Zagreb


Puni tekst: engleski pdf 300 Kb

str. 39-59

preuzimanja: 226

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Sažetak

In this paper we obtain a priori estimates for finite-energy sequences of M\"uller's functional Iaε(v)=01(ε2v2(s)+W(v(s))+a(s)v2(s))ds, where vH2\oi01 and W is non-coercive two-well potential with symmetrically placed zero-points. We prove Γ-convergence of corresponding relaxed functionals accordingto the approach of G. Alberti and S. M\"uller as ε0 for W which satisfies 0W=0+W=+.

Ključne riječi

Asymptotic analysis; singular perturbation; Young measures; Modica-Mortola functional; Gamma convergence

Hrčak ID:

215149

URI

https://hrcak.srce.hr/215149

Datum izdavanja:

19.4.2019.

Posjeta: 845 *

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