p SAC - creden - Université Montpellier I
p SAC - creden - Université Montpellier I p SAC - creden - Université Montpellier I
!"#$%&'()'*+",%$#&'()'''''''''''''''''''''''''-&.$%/0'()'*/1,"#"%2/0'34',/%0$'3&'54&'34'6&78"#&)! r 8! 9&1! .0):! 2&1! *.?0/(&301! 7*0-/+(! 6&! 1&'(&30! '*+'300&+()&6! *+(! 6&1! 7*0-&1! 13)4/+(&1!U! p = c + t !! ! ! ! ! ! ! ! ! c c c 2u 2u 2u p = c + t !! ! ! ! ! ! ! ! ! ! ! ! c c c 2r 2r 2r 9&!.0*@6;-&!2&!6/!(/0)7)'/()*+!&(!2&!6/!(/:/()*+!*.()-/6&!.&3(!1E?'0)0&! 7*0-&66&-&+(!2&!6/!7/f*+!13)4/+(&!U! m c maxαU r Uu π π R p ,p ,p m ,p m ,t c ,t c 1u 1r 2u 2r 2u 2r 1g'! ! + + + + !! ! ! ! ! ! ! m π + R≥ 0! ! ! ! ! ! ! ! ! *h! R !&1(!6&!0&4&+3!A?+?0?!./0!6/!(/:&!2&!1&04)'&!3+)4&01&6!&(!&1(!2?7)+)! 7*0-&66&-&+(!./0!6E&:.0&11)*+!13)4/+(&!U! R= t q + t q ! ! ! ! ! ! ! ! ! ! c c c c 2u 2u 2r 2r c &(!*hF!&+!.0?1&+'&!2&!6/!(/:/()*+F! π !&1(!0&2?7)+)!'*--&!13)( $ !U! ( ) ( ) π = p −c − t q + p −c −t q F!/4&'!! ! ! ! ! c c c c c c c c c 2u 2u 2u 2u 2r 2r 2r 2r λ ' !6&!-36().6)'/(&30!2&!6E&:.0&11)*+!2&!6/!'*+(0/)+(&!2&!@32A&(!23!JI%8! ! 9&1!'*+2)()*+1!2&!.0&-)&0!*020&!1*+(!/6*01!6&1!13)4/+(&1!U! p1u − c 1u λ' 1 = , p 1u λ' + 1ε1u ( α − ) λ' − 1 p1r − c1r 1 = , p 1r λ' + 1 ε1r m m c 2u 2u c 2u m m 2u c p2u λ 1ε2u p2u ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! p −c λ 1 ∂q = t , ! ! ! ! ! ! ! ! + ∂ ( α −1) p −c λ− 1 ∂q t ,! ! ! ! ! ! ! m m c 2r 2r c 2r = m m 2r c p2r λ+ 1 ε2r ∂p2r !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! π = p − c q + p − c q + p − c q + p −c q − F ! m m m m m m m m 1u 1u 1u 1r 1r 1r 2u 2u 2u 2r 2r 2r $!K(!/4&'! ( ) ( ) ( ) ( ) ! "#e!
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