In this article, we investigate the long-time behavior for the ill-posed problems ∂2u∂t2+∂u∂t+λu−Δu−Δ∂u∂t−Δ∂2u∂t2=f(t,u(x,t−ρ(t)))+g(t,x),in(τ,+∞)×RN,\frac{{\partial }^{2}u}{\partial {t}^{2}}+\frac{\partial u}{\partial t}+\lambda u-\Delta u-\Delta \frac{\
Zhang Fang-hong
doaj +1 more source
On Existence and Admissibility of Singular Solutions for Systems of Conservation Laws. [PDF]
Kalisch H, Mitrovic D.
europepmc +1 more source
An alternative approach to study irrotational periodic gravity water waves. [PDF]
Basu B, Martin CI.
europepmc +1 more source
Comparative Response of Newtonian and Non-Newtonian Fluids Subjected to Exothermic Reactions in Shear Flow. [PDF]
Chinyoka T.
europepmc +1 more source
Geophysical water flows with constant vorticity and centripetal terms. [PDF]
Martin CI.
europepmc +1 more source
On the Effect of Fast Rotation and Vertical Viscosity on the Lifespan of the 3D Primitive Equations. [PDF]
Lin Q, Liu X, Titi ES.
europepmc +1 more source
Long time decay of incompressible convective Brinkman-Forchheimer in L2(ℝ3)
In 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
doaj +1 more source
Axisymmetric Incompressible Viscous Plasmas: Global Well-Posedness and Asymptotics
This paper is devoted to the global analysis of the three-dimensional axisymmetric Navier–Stokes–Maxwell equations. More precisely, we are able to prove that, for large values of the speed of light $c\in (c_0, \infty )$ , for some threshold ...
Diogo Arsénio +2 more
doaj +1 more source
Time decay estimates of solutions to a two-phase flow model in the whole space
In 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
doaj +1 more source
Invariant Measures for the Stochastic One-Dimensional Compressible Navier-Stokes Equations. [PDF]
Coti Zelati M, Glatt-Holtz N, Trivisa K.
europepmc +1 more source

