Global existence of the strong solution to the 3D incompressible micropolar equations with fractional partial dissipation

existence and approximate $l^{p}$ and continuous solution of nonlinear integral equations of the hammerstein and volterra types

بسیاری از پدیده ها در جهان ما اساساً غیرخطی هستند، و توسط معادلات غیرخطی ‎‏بیان شد‎‎‏ه اند. از آنجا که ظهور کامپیوترهای رقمی با عملکرد بالا، حل مسایل خطی را آسان تر می کند. با این حال، به طور کلی به دست آوردن جوابهای دقیق از مسایل غیرخطی دشوار است. روش عددی، به طور کلی محاسبه پیچیده مسایل غیرخطی را اداره می کند. با این حال، دادن نقاط به یک منحنی و به دست آوردن منحنی کامل که اغلب پرهزینه و ...

Global Regularity for the 2D Magneto-Micropolar Equations with Partial Dissipation

Abstract. This paper studies the global existence and regularity of classical solutions to the 2D incompressible magneto-micropolar equations with partial dissipation. The magneto-micropolar equations model the motion of electrically conducting micropolar fluids in the presence of a magnetic field. When there is only partial dissipation, the global regularity problem can be quite difficult. We ...

Existence and Measurability of the Solution of the Stochastic Differential Equations Driven by Fractional Brownian Motion

Global Strong Solution to the Density-dependent Incompressible Viscoelastic Fluids

The existence and uniqueness of the global strong solution with small initial data to the three-dimensional density-dependent incompressible viscoelastic fluids is established. The local existence and uniqueness of the global strong solution with small initial data to the three-dimensional compressible viscoelastic fluids is also obtained. A new method is developed to estimate the solution with...

Magneto-micropolar Fluid Motion: Global Existence of Strong Solutions

Here, u(t,x) ∈ R3 denotes the velocity of the fluid at a point x ∈ and time t ∈ [0,T ]; w(t,x) ∈ R3, b(t,x) ∈ R3 and p(t,x) ∈ R denote, respectively, the micro-rotational velocity, the magnetic field and the hydrostatic pressure; the constants μ,χ,α,β,γ,j , and ν are positive numbers associated to properties of the material; f (t,x), g(t,x) ∈ R3 are given external fields. We assume that on the ...