September 1, 2024Journal of Mathematical Physics

Large-time behavior of the solutions for an inflow problem of the full compressible Navier–Stokes–Korteweg equations

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YLYeping LiNantong University BGBairu GaoNantong University ZLZhen LuoTianjin University of Science and Technology

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Implication

Theoretical analysis demonstrates asymptotic stability of composite waves in compressible Navier–Stokes–Korteweg fluids, highlighting nonlinear wave behavior.

Key Points

Superposition of boundary layer and three-rarefaction wave solutions exhibits asymptotic stability under small perturbations for the compressible Navier–Stokes–Korteweg inflow system.
Theoretical analysis employs the l2-energy method alongside time-decay estimates in Lp-norm and spatial decay estimates to control composite wave interactions.
The findings establish the first proof of nonlinear stability for combined wave patterns in inflow boundary problems modeling viscous fluids with internal capillarity.

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Li et al. (2024) studied this question.

synapsesocial.com/papers/68e59fb2b6db64358753a879 https://doi.org/10.1063/5.0221757

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Implication

Theoretical analysis demonstrates asymptotic stability of composite waves in compressible Navier–Stokes–Korteweg fluids, highlighting nonlinear wave behavior.

Large-time behavior of the solutions for an inflow problem of the full compressible Navier–Stokes–Korteweg equations

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Implication

Key Points

Cite This Study

Large-time behavior of the solutions for an inflow problem of the full compressible Navier–Stokes–Korteweg equations

Discussion

Member takes

Implication

Key Points

Cite This Study

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