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Existence and nonlinear stability of stationary solutions to the full compressible Navier-Stokes-Korteweg system - MaRDI portal

Existence and nonlinear stability of stationary solutions to the full compressible Navier-Stokes-Korteweg system (Q2436821)

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Existence and nonlinear stability of stationary solutions to the full compressible Navier-Stokes-Korteweg system
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    Existence and nonlinear stability of stationary solutions to the full compressible Navier-Stokes-Korteweg system (English)
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    27 February 2014
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    The authors develop a solution scheme for the non-linear stability of the Navier-Stokes-Korteweg system with boundary conditions using a mathematical formulation. The existence and uniqueness of the problem is developed by a number of theorems, propositions and lemmas. Reviewer's remark: It is a highly mathematical central paper for a theoretical foundation. The drawback is that no experiments are performed for the validation of the developed theory.
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    Navier-Stokes-Korteweg system
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    stationary solutions
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    non-linear stability
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    energy method
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    boundary conditions
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    mapping principle
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