On the Serrin-Type Condition on One Velocity Component for the Navier–Stokes Equations
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DOI: 10.1007/s00205-021-01636-5
Abstract: In this paper we consider the regularity problem of the Navier-Stokes equations in $ \R^{3} $. We show that the Serrin-type condition imposed on one component of the velocity $ u_3\in L^p(0,T; L^q(\R^{3} ))$ satisfying… read more here.
Keywords: component; stokes equations; velocity; type condition ... See more keywords
A Meyniel-Type Condition for Bipancyclicity in Balanced Bipartite Digraphs
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DOI: 10.1007/s00373-018-1907-7
Abstract: We prove that a strongly connected balanced bipartite digraph D of order 2a, $$a\ge 3$$a≥3, satisfying $$d(u)+d(v)\ge 3a$$d(u)+d(v)≥3a for every pair of vertices u, v with a common in-neighbour or a common out-neighbour, is either bipancyclic… read more here.
Keywords: bipancyclicity balanced; meyniel type; type condition; condition bipancyclicity ... See more keywords
A Lazer-Leach-type condition for singular differential equations with a deviating argument at resonance
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DOI: 10.1186/s13662-017-1240-0
Abstract: In this paper, we establish a Lazer-Leach-type condition depending on the delay for the existence of positive periodic solutions for singular differential equations with a deviating argument at resonance. The proof of the main result… read more here.
Keywords: type condition; leach type; lazer leach; equations deviating ... See more keywords