Γ-Convergence in Nonlinear Homogenization Problems

2018 ◽  
pp. 103-122
Author(s):  
Leonid Berlyand ◽  
Volodymyr Rybalko
Keyword(s):  
Γ Convergence ◽  
Homogenization Problems ◽  
Nonlinear Homogenization

Some nonlinear homogenization problems

1995 ◽  
Vol 57 (1-2) ◽  
pp. 101-118 ◽  
Author(s):  
O.A. Oleinik ◽  
R. Temam ◽  
G.A. Yosifian
Keyword(s):  
Homogenization Problems ◽  
Nonlinear Homogenization

scholarly journals From nonlinear to linearized elasticity via Γ-convergence: The case of multiwell energies satisfying weak coercivity conditions

2014 ◽  
Vol 25 (01) ◽  
pp. 1-38 ◽  
Author(s):  
V. Agostiniani ◽  
T. Blass ◽  
K. Koumatos
Keyword(s):  
Coercivity Conditions ◽  
Coercivity Condition ◽  
Nematic Elastomers ◽  
Linearized Elasticity ◽  
Γ Convergence

Linearized elasticity models are derived, via Γ-convergence, from suitably rescaled nonlinear energies when the corresponding energy densities have a multiwell structure and satisfy a weak coercivity condition, in the sense that the typical quadratic bound from below is replaced by a weaker p bound, 1 < p < 2, away from the wells. This study is motivated by, and our results are applied to, energies arising in the modeling of nematic elastomers.

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