Results 31 to 40 of about 1,283 (108)

Local well-posedness for the nonlinear Schr\"odinger equation in the intersection of modulation spaces $M_{p, q}^s(\mathbb{R}^d) \cap M_{\infty, 1}(\mathbb{R}^d)$

open access: yes, 2019
We introduce a Littlewood-Paley characterization of modulation spaces and use it to give an alternative proof of the algebra property, somehow implicitly contained in Sugimoto (2011), of the intersection $M^s_{p,q}(\mathbb{R}^d) \cap M_{\infty, 1 ...
A Bényi   +11 more
core   +1 more source

Regularity for Micropolar Fluid Equations Subjected to Hall Current

open access: yesJournal 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

On the Existence and Behavior of Solution for p(x)‐Biharmonic‐Type Hyperbolic Equation With Nonlinear Damping and Variable Exponent Source

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
A fourth‐order p(x)‐biharmonic‐type hyperbolic equation with variable‐exponent nonlinearities is considered. The global existence of solutions has been obtained by potential well theory and the continuous principle. Qualitative properties related to the stability of the solution of this equation are obtained using the method of the well‐known Komornik ...
Billel Gheraibia   +4 more
wiley   +1 more source

Kalman filter based on a fractional discrete-time stochastic augmented CoVid-19 model

open access: yesJournal of Biosafety and Biosecurity
In this paper, we study the dynamics of the CoVid-19 outbreak in Semarang, Indonesia, using a fractional CoVid-19 model. We first determine the effects of the isolation rate ∊ and infection rate β on the reproduction number R0 and infected number V.
Mohammad Ghani, Dwi Rantini, Maryamah
doaj   +1 more source

Sub-logistic source can prevent blow-up in the 2D minimal Keller-Segel chemotaxis system

open access: yes, 2017
It is well-known that the Neumann initial-boundary value problem for the minimal-chemotaxis-logistic system in a 2D bounded smooth domain has no blow-up for any choice of parameters. Here, for a large class of kinetic terms including sub-logistic sources,
Xiang, Tian
core   +1 more source

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

open access: yesJournal 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

Integral inequalities with an extended Poisson kernel and the existence of the extremals

open access: yesAdvanced Nonlinear Studies, 2023
In this article, we first apply the method of combining the interpolation theorem and weak-type estimate developed in Chen et al. to derive the Hardy-Littlewood-Sobolev inequality with an extended Poisson kernel.
Tao Chunxia, Wang Yike
doaj   +1 more source

Advancing analytical solutions: Novel wave insights and methodologies for beta fractional Kuralay-II equations

open access: yesDemonstratio Mathematica
This article investigates new analytical wave solutions within the beta (β\beta ) fractional framework (Fκ\kappa IIAE and Fκ\kappa IIBE) of the Kuralay II equations, which are significant in the field of nonlinear optics.
Ege Serife Muge
doaj   +1 more source

On regular solutions to compressible radiation hydrodynamic equations with far field vacuum

open access: yesAdvances in Nonlinear Analysis, 2022
The Cauchy problem for three-dimensional (3D) isentropic compressible radiation hydrodynamic equations is considered. When both shear and bulk viscosity coefficients depend on the mass density ρ\rho in a power law ρδ{\rho }^{\delta } (with ...
Li Hao, Zhu Shengguo
doaj   +1 more source

Two solutions for Dirichlet double phase problems with variable exponents

open access: yesAdvanced Nonlinear Studies
This paper is devoted to the study of a double phase problem with variable exponents and Dirichlet boundary condition. Based on an abstract critical point theorem, we establish existence results under very general assumptions on the nonlinear term, such ...
Amoroso Eleonora   +3 more
doaj   +1 more source

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