On Existence and Admissibility of Singular Solutions for Systems of Conservation Laws. [PDF]
Kalisch H, Mitrovic D.
europepmc +1 more source
Classical solution for compressible Navier-Stokes-Korteweg equations with zero sound speed
We consider the compressible Navier-Stokes-Korteweg equations describing the dynamics of a liquid-vapor mixture with diffuse interphase in Rd{{\mathbb{R}}}^{d} with d≥3d\ge 3 when the initial perturbation is suitably small.
Liu Mengqian, Wu Zhigang
doaj +1 more source
An alternative approach to study irrotational periodic gravity water waves. [PDF]
Basu B, Martin CI.
europepmc +1 more source
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
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
On the dimension of the attractor for a perturbed 3d Ladyzhenskaya model
Pražák Dalibor, Žabenský Josef
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
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

