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In this article, a semi-discretized Euler scheme to solve the three dimensional viscous primitive equations is studied. Based on suitable assumptions on the initial data and forcing terms, the long-time… Click to show full abstract
In this article, a semi-discretized Euler scheme to solve the three dimensional viscous primitive equations is studied. Based on suitable assumptions on the initial data and forcing terms, the long-time stability of the proposed scheme is proven by showing that the $$H^1$$H1 norm (in space variables) of the solutions is bounded at each time step when the time step satisfies certain smallness condition.
Keywords:
three dimensional;
dimensional viscous;
viscous primitive;
time;
scheme;
primitive equations
Journal Title: Numerische Mathematik
Year Published: 2018
Link to full text (if available)
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Journal Title: Numerische Mathematik
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!