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We study the dynamics of a Neumann boundary value problem arising in fluid dynamics. We prove the nonexistence, existence and uniqueness of positive solutions under suitable conditions. At the same… Click to show full abstract
We study the dynamics of a Neumann boundary value problem arising in fluid dynamics. We prove the nonexistence, existence and uniqueness of positive solutions under suitable conditions. At the same time, under stricter conditions, we also obtain the dynamic properties of the Neumann boundary value problem, such as the stability and instability of positive solutions. The methods of proof mainly involve the upper and lower solutions method, eigenvalue theory and some analysis techniques.
Keywords:
dynamics fluid;
boundary conditions;
neumann boundary;
fluid equation;
equation neumann
Journal Title: TURKISH JOURNAL OF MATHEMATICS
Year Published: 2020
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Journal Title: TURKISH JOURNAL OF MATHEMATICS
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!