Results 31 to 40 of about 111 (88)

Convex dynamics in Hele‐Shaw cells

International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 11, Page 639-650, 2002., 2002
We study geometric properties of a contracting bubble driven by a homogeneous source at infinity and surface tension. The properties that are preserved during the time evolution are under consideration. In particular, we study convex dynamics of the bubble and prove that the rate of the area change is controlled by variation of the bubble logarithmic ...
Dmitri Prokhorov, Alexander Vasil′ev
wiley   +1 more source

Global solvability in a three-dimensional Keller-Segel-Stokes system involving arbitrary superlinear logistic degradation

Advances in Nonlinear Analysis, 2020
The Keller-Segel-Stokes ...
Wang Yulan, Winkler Michael, Xiang Zhaoyin   +2 more
doaj   +1 more source

Phragmén–Lindelöf Alternative Results for the Moore–Gibson–Thompson Heat Equation on an Exterior Region in R3

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study presents investigates the spatial behavior of solutions to the Moore–Gibson–Thompson (MGT) heat conduction equation posed on an exterior domain in ℝ3. Within the framework of Green–Naghdi Type III theory, we analyze the radial asymptotic properties of solutions using a novel weighted energy functional and a first‐order differential ...
Jincheng Shi, Yiwu Lin, Smritijit Sen
wiley   +1 more source

Regularity for Micropolar Fluid Equations Subjected to Hall Current

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
In this paper, we consider the density‐dependent incompressible Hall‐magnetomicropolar fluid equations and establish a regularity condition involving the Lt1Lx∞ norm of the velocity gradient and the microrotational velocity gradient and the Lt2r/r−3Lxr norm of the magnetic field gradient for r > 3.
Mingyu Zhang, Arpan Hazra
wiley   +1 more source

Blow-up criterion of smooth solutions for magneto-micropolar fluid equations with partial viscosity

Boundary Value Problems, 2011
In this paper, we investigate the Cauchy problem for the incompressible magneto-micropolar fluid equations with partial viscosity in ℝn(n = 2, 3). We obtain a Beale-Kato-Majda type blow-up criterion of smooth solutions. MSC (2010): 76D03; 35Q35.
Wang Yu-Zhu, Li Yifang, Wang Yin-Xia
doaj  

Global existence and decay estimates of the classical solution to the compressible Navier-Stokes-Smoluchowski equations in ℝ3

Advances in Nonlinear Analysis
The compressible Navier-Stokes-Smoluchowski equations under investigation concern the behavior of the mixture of fluid and particles at a macroscopic scale. We devote to the existence of the global classical solution near the stationary solution based on
Tong Leilei
doaj   +1 more source

On the continuity of solutions to advection-diffusion equations with slightly super-critical divergence-free drifts

Advances in Nonlinear Analysis, 2014
We address the regularity of solutions to elliptic and parabolic equations of the form -Δu+b·∇u=0${- \Delta u+b\cdot \nabla u=0}$ and ut-Δu+b·∇u=0${u_t- \Delta u+b\cdot \nabla u=0}$ with divergence-free drifts b.
Ignatova Mihaela
doaj   +1 more source

Decay Rate on the Radius of Spatial Analyticity to Solutions for the Modified Camassa–Holm Equation

Journal of Mathematics, Volume 2025, Issue 1, 2025.
The initial value problem associated with the modified Camassa–Holm equation for initial data u0(x) that is analytic on the line and having uniform radius of spatial analyticity σ0 is considered. We have shown the persistence of the radius of spatial analyticity till some time δ.
Tegegne Getachew, Yongqiang Fu
wiley   +1 more source

Numerical analysis of hybrid fluid flow between rotating disks in the presence of thermal radiation and Joule heating effect

Open Physics
This study investigates the hybrid nanofluid flow between two rotating and squeezing disks under the combined effects of thermal radiation and Joule heating.
Bibi Kalsoom, Khan Aamir, Hamid Aiman, Mısır Zülal, Asmat Farwa   +4 more
doaj   +1 more source

Optimal decay rates of strong solutions to the Cauchy problem of three-dimensional compressible magnetohydrodynamics equations with density-dependent viscosities and large initial data

Advances in Nonlinear Analysis
In this paper, we investigate the asymptotic behavior of the strong solution to the Cauchy problem of 3D compressible magnetohydrodynamics (MHD) equations with density-dependent viscosities. Based on the global existence of large strong solution and some
Lu Peng, Shang Zhaoyang, Wang Shuang
doaj   +1 more source