Long time decay of incompressible convective Brinkman-Forchheimer in L2(ℝ3)
Demonstratio MathematicaIn this article, we study the global existence, uniqueness, and continuity for the solution of incompressible convective Brinkman-Forchheimer on the whole space R3{{\mathbb{R}}}^{3} when 4μβ≥14\mu \beta \ge 1.
Jlali Lotfi, Benameur Jamel
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Invariant Measures for the Stochastic One-Dimensional Compressible Navier-Stokes Equations. [PDF]
Appl Math Optim, 2021 Coti Zelati M, Glatt-Holtz N, Trivisa K.
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Time decay estimates of solutions to a two-phase flow model in the whole space
Advances in Nonlinear AnalysisIn this article, we aim to establish the optimal time decay rates of strong solutions to a two-phase flow model derived from a type of coupled fluid-kinetic equation.
Wu Yakui, Wu Qiong, Zhang Yue
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Advances in Nonlinear AnalysisIn this article, we consider the well-posedness of the local smooth solutions to the physical vacuum free boundary problem of the cylindrical symmetric Euler equations with time-dependent damping −μ(1+t)λρu-\frac{\mu }{{(1+t)}^{\lambda }}\rho {\bf{u}}, μ>
Li Haitong, Mai La-Su, Wang Shiyu
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Smooth imploding solutions for 3D compressible fluids
Forum of Mathematics, PiBuilding upon the pioneering work of Merle, Raphaël, Rodnianski and Szeftel [67, 68, 69], we construct exact, smooth self-similar imploding solutions to the 3D isentropic compressible Euler equations for ideal gases for all adiabatic exponents ...
Tristan Buckmaster +2 more
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A steady stratified purely azimuthal flow representing the Antarctic Circumpolar Current. [PDF]
Mon Hefte Math, 2020 Martin CI, Quirchmayr R.
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Optimal large time behavior of the 3D rate type viscoelastic fluids
Advances in Nonlinear AnalysisWe investigate optimal decay estimates of solutions to the 3D Cauchy problem of the rate type viscoelastic fluids. The main novelty of this article involves three aspects: first, we show that the second-order and third-order spatial derivative of the ...
Chen Yangyang, Zhang Yinghui
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On blow-up for the supercritical defocusing nonlinear wave equation
Forum of Mathematics, PiIn this paper, we consider the defocusing nonlinear wave equation $-\partial _t^2u+\Delta u=|u|^{p-1}u$ in $\mathbb {R}\times \mathbb {R}^d$ .
Feng Shao, Dongyi Wei, Zhifei Zhang
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Diffuse interface model for two-phase flows on evolving surfaces with different densities: global well-posedness. [PDF]
Calc Var Partial Differ EquAbels H, Garcke H, Poiatti A.
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Stability analysis of the incompressible porous media equation and the Stokes transport system via energy structure. [PDF]
Calc Var Partial Differ EquPark J.
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