Global smooth solutions of 3-D null-form wave equations in exterior domains with Neumann boundary conditions
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DOI: 10.1016/j.jde.2018.01.015
Abstract: Abstract The paper is devoted to investigating long time behavior of smooth small data solutions to 3-D quasilinear wave equations outside of compact convex obstacles with Neumann boundary conditions. Concretely speaking, when the surface of… read more here.
Keywords: smooth solutions; solutions null; boundary conditions; neumann boundary ... See more keywords
Global smooth solvability of a parabolic–elliptic nutrient taxis system in domains of arbitrary dimension
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DOI: 10.1016/j.jde.2019.01.014
Abstract: Abstract This paper deals with the nutrient taxis system { u t = Δ u − ∇ ⋅ ( u ∇ v ) , 0 = Δ v − u v − μ v +… read more here.
Keywords: global smooth; smooth solvability; taxis system; nutrient taxis ... See more keywords
Global smooth solutions to the irrotational Euler-Riesz system in three dimensions
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DOI: 10.1090/tran/9600
Abstract: This paper investigates the global dynamics of the Euler–Riesz system in three dimensions, focusing on the well-posedness and large-time behavior of solutions near equilibrium. The system generalizes classical interactions by incorporating the Riesz interactions ∇… read more here.
Keywords: system; riesz system; system three; global smooth ... See more keywords