Results 41 to 50 of about 172 (152)
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
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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
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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
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Existence and evenness of solitary-wave solutions for an equation of short and long dispersive waves
, 2015 We study the existence and some properties of solitary-wave solutions for an interaction equation between a long internal wave and a short surface wave in a two-layer fluid.
Angulo, J, Montenegro, JF
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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
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Advances in Nonlinear AnalysisThe 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
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Stability and Instability of Solitary Wave Solutions of a Nonlinear Dispersive System of Benjamin-Bona-Mahony Type [PDF]
, 2003 2000 Mathematics Subject Classification: 35B35, 35B40, 35Q35, 76B25, 76E30.This paper concerns the orbital stability and instability of solitary waves of the system of coupling equations of Benjamin-Bona-Mahony type.
Hakkaev, Sevdzhan
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A note on a transmission problem for the Brinkman system and the generalized Darcy-Forchheimer-Brinkman system in Lipschitz domains in R³ [PDF]
, 2019 The purpose of this paper is to treat a nonlinear transmission-type problem for a generalized version of the Darcy-Forchheimer-Brinkman system and the classical Brinkman system in complementary Lipschitz domains in R³.
ALBIȘORU, Andrei-Florin
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The linear BBM-equation on the half-line, revisited
35A20; 35A22; 35B40; 35C05; 35Q35; 76B07; 76B15; BBM equation; Channel surface waves; Contour integral methods; Initial-boundary-value problems; Wavemaker ...
Chatziafratis, A. +3 more
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Open PhysicsThis study investigates the hybrid nanofluid flow between two rotating and squeezing disks under the combined effects of thermal radiation and Joule heating.
Bibi Kalsoom +4 more
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