Du 27 au 28 janvier 2026
Salle de conférences IRMA
La conférence intitulée "Mécanique des fluides dans le Grand Est" aura lieu les 27 et 28 janvier 2026 dans la salle de conférences de l'IRMA.
Organisateur : Benjamin Mélinand (IRMA)
Orateurs.rices :
Lieu : Salle de conférences de l'IRMA
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Mardi 27 janvier 2026
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13:00
Repas -
14:00
Benjamin Melinand, IRMA
Stability of shock waves of the 1D isentropic compressible Navier Stokes equations
This is a joint work with Miguel Rodrigues (Univ Rennes, France).
This talk concerns the nonlinear stability of viscous shock waves of the one dimensional Navier-Stokes equations in Eulerian coordinates. Since the works of Mascia and Zumbrun in the early 2000s it is known that a shock wave is nonlinear stable if the linearized operator about the shock wave does not have any nonzero eigenvalue with nonnegative real part. We show that the previous spectral condition is satisfied for any shock wave thanks to the use of an adhoc effective velocity. We then explain how one can use Mascia and Zumbrun strategy to obtain the nonlinear stability with a parabolic-type decay rate. For that we consider localized initial data and we emphasize that no zero mass condition is assumed. We also study the asymptotic behavior close to the shock wave. -
15:30
Pause Café
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16:00
Vincent Laheurte, Université du Luxembourg
TBA
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17:00
François Vigneron, LMR
TBA
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19:00
Diner
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Mercredi 28 janvier 2026
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09:00
Takéo Takahashi, IECL - INRIA
TBA
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10:00
Pause Café
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10:30
Ayman Rimah Said, LMR
TBA
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12:00
Discussion
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13:00
Repas