SESSION 2015 PCPH003  

     

EPREUVE SPECIFIQUE - FILIERE PC  ____________________  

 PHYSIQUE

Durée : 4 heures  

____________________  

N.B. : le candidat attachera la plus grande importance à la clarté, à la précision et à la concision de la rédaction. Si un candidat est amené à repérer ce qui peut lui sembler être une erreur d’énoncé, il le signalera sur sa copie et devra poursuivre sa composition en expliquant les raisons des initiatives qu’il a été amené à prendre.  

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ϕ ϕ = ⋅ =

ρ ρ ( ) ( ) = = −

( ) = =

ρ ϕ λ∂

⋅ ⋅ = + ⋅ ∆∂

∆

∆

∂ ∂ ∂∆ = + +

∂ ∂ ∂

( ) ϕ λ ϕ λ

= = ( )

= = ( )

>

( ) = =

( ) = = +

( ) =

( )

( )

( )

( )

=

= ρ = µ =

= = =

( )( ) ( )( )

ρρ

∂+ ⋅ =

∂

( ) ρ

( )

( )ρ ( )

= ⋅

( ) ( ) ( ) ρ= ⋅

( ) ( ) ( ) ρ= ⋅ ⋅

( ) ( ) ( ) +

( ) + ( ) + ( ) +

= ⋅

( )( ) ( )

ϕ

∂⋅ ⋅ = ⋅ − ⋅ + + ⋅

∂ ϕ

( )

ϕ⋅ =

( ) = = ϕ ϕ = = =

ρ

+

( )( ) ( )( ) ( ) ( )( ) ( ) ( ) ( )

ρ ρ ρ

∂ ⋅= ⋅ ⋅ − + ⋅ ⋅ + + ⋅ − + ⋅ − ⋅ ⋅ ⋅

∂

ρ

( )( ) ( ) ( )( )( )( )

ρρ

⋅= − − ⋅

( )( )( )

ρ ⋅− ⋅

ρ− ⋅ ⋅

∆ ∆

( )

ρ

⋅∆ = − ⋅

⋅ ⋅

⋅

=

= ⋅

= < −= ⋅

>

( ) = = =

( ) = = =

∆ = − ∆ ∆ ∆

∆

ρ ρ

ρ+

=

ρ∆ = − ⋅ ⋅ ∆

ρ

µ

⋅ ⋅= µ

ρ ρρ

+=

∆

ρ ∆ ρ

∆ ∆

θ θ

θ θ

θ

θ=

=

=

θ θ

θ

( )

λ

( ) ω ℜ

( )

( ) ( ) ω= ⋅ ⋅

ℜ ( ) ℜ ( ) ( ) ω ϕ= ⋅ ⋅ +

( ) ( ) ( ) ω ( ) ω

( ) ω ( )( )( )

ωω ω

ωω ωω

ω ω

= =

− + ⋅ ⋅

ω

ℜ ℜ

λ ℜ= − ⋅

( ) ( ) ω= ⋅ ⋅

( ) ω

ω

λ

⋅=

π

ω

⋅=

( )

= ⋅ − ⋅ ⋅

σ +

−

ε

σ σ

>

<

ε

σ σ

= ε

σ

σ

σ

( ) ( ) = +

( ) ( ) ω ϕ= ⋅ ⋅ +

( ) ε

( ) = − = ⋅

( ) = +

( ) = −

( )

= ⋅ − ⋅ ⋅

ε

( )

= ⋅ − ⋅ ⋅

( )

IM

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