Results 31 to 40 of about 160 (121)

Blow‐Up Criteria for Higher Order Fractional Moore–Gibson–Thompson Equations With Fractional Laplacian Damping

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper presents the first systematic analysis of critical exponents for both third and fourth‐order fractional Moore–Gibson–Thompson (MGT) equations with combined spatiotemporal fractional derivatives and structural damping. We establish sharp nonexistence results for global solutions via an adapted test function method, deriving explicit critical ...
Ahlem Merah, Hussien Albala, Fares Yazid, Hicham Saber, Mohammed Almalahi, Abdelkader Moumen, Khaled Aldwoah, Smritijit Sen   +7 more
wiley   +1 more source

Integer–Fractional Order of Identical Eigenvalues Chaotic Oscillator: Analysis and Shadow Economy Application

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
This study introduces a new three‐dimensional chaotic oscillator system characterized by zero eigenvalues, with stability localized in the center manifold, an uncommon feature in chaotic system design. The proposed system is constructed entirely from nonlinear terms and demonstrates complex dynamics validated through bifurcation analysis and Lyapunov ...
Ali Shukur, Faruk Ozger, Nasser Saeed, Surma Ibrabim, Viet-Thanh Pham, Giuseppe Grassi, Peiguang Wang   +6 more
wiley   +1 more source

Asymptotic Lower Bound on the Spatial Analyticity Radius for Solutions of the Periodic Fifth Order KdV–BBM Equation

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
In this work, consideration is given to the initial value problem associated with the periodic fifth‐order KdV–BBM equation. It is shown that the uniform radius of spatial analyticity σ(t) of solution at time t is bounded from below by ct−2/3 (for some c > 0), given initial data η0 that is analytic on the circle and has a uniform radius of spatial ...
Tegegne Getachew, Giovanni P. Galdi
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

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

Journal 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, Safa M. Mirgani, Nouri Boumaza, Khaled Zennir, Dimitri Mugnai   +4 more
wiley   +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

On various models describing behaviour of thermoviscoelastic rate-type fluids

Advances in Nonlinear Analysis
Viscoelastic rate-type fluid models are essential for describing the behavior of a wide range of complex materials, with applications in fields such as engineering, biomaterials, and medicine.
Bulíček Miroslav, Woźnicki Jakub
doaj   +1 more source

Some existence results for a class of parabolic equations with nonlinear boundary conditions

Using the Galerkin approximation and a family of potential wells, we establish the existence of a global weak solution under appropriate conditions.
LAMAIZI, Anass, EL AHMADI, Mahmoud, BARGHOUTHE, Mohammed, DARHOUCHE, Omar   +3 more
core   +1 more source

Global existence and blowup for a nonlocal wave equation with combined power-type nonlinearities

Advances in Nonlinear Analysis
The Cauchy problem for a class of nonlinear nonlocal wave equation is considered. For the subcritical and critical initial energy levels, we prove the existence of global solution and finite time blowup of solutions, respectively.
Pang Yue, Qiu Xiaotong, Wu Weipeng
doaj   +1 more source

On the global solvability and asymptotic stability for Schrödinger–Boussinesq–type systems

Advances in Nonlinear Analysis
This paper is devoted to the solvability of nonlinear Schrödinger–Boussinesq–type systems in the framework of weak-L p spaces, exploring the nonlocal effect of time-fractional evolution and the Lévy trajectories in the model.
Banquet Carlos, Ferreira Lucas C. F., Villamizar-Roa Élder J.   +2 more
doaj   +1 more source