Results 1 to 10 of about 4,617 (117)
On the blow-up criterion for the Hall-MHD problem with partial dissipation in R 3 $\mathbb{R}^{3}$
Boundary Value Problems, 2023 In this paper, we investigate the 3D incompressible Hall-magnetohydrodynamics with partial dissipation. Based on the results in (Du in Bound. Value Probl. 2022:6, 2022; Du and Liu in Acta Math. Sci. 42A:5, 2022; Fei and Xiang in J. Math. Phys. 56:051504,
Baoying Du
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Comptes Rendus. Mathématique, 2020 Consider a class of integrodifferential of parabolic equations involving variable source with Dirichlet boundary condition \begin{equation*} u_{t}=\Delta u-\int _{0}^{t}g\left(t-s\right) \Delta u\left(x,s\right) \mathrm{d} s+|u| ^{p(x) -2}u.
Rahmoune, Abita
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Advances in Mathematical Physics, 2023 This article is concerned with the initial-value problem of a Schrödinger–Hartree equation in the presence of anisotropic partial/whole harmonic confinement. First, we get a sharp threshold for global existence and finite time blow-up on the ground state
Min Gong, Hui Jian
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Boundary Value Problems, 2020 In the paper, we investigate global and blow-up solutions for a class of nonlinear reaction diffusion equations with Robin boundary conditions. By using auxiliary functions and a first-order differential inequality technique, we establish conditions on ...
Huimin Tian, Lingling Zhang
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Blow-up criterion for the density dependent inviscid Boussinesq equations
Boundary Value Problems, 2020 In this work, we consider the density-dependent incompressible inviscid Boussinesq equations in R N ( N ≥ 2 ) $\mathbb{R}^{N}\ (N\geq 2)$ . By using the basic energy method, we first give the a priori estimates of smooth solutions and then get a blow-up ...
Li Li, Yanping Zhou
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Comptes Rendus. Mathématique, 2021 We give a simple proof of a result on the $\partial \bar{\partial }$-lemma property under a blow-up transformation by Deligne–Griffiths–Morgan–Sullivan’s criterion.
Meng, Lingxu
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Blow-up for logarithmic viscoelastic equations with delay and acoustic boundary conditions
Advances in Nonlinear Analysis, 2023 In the present work, we establish a blow-up criterion for viscoelastic wave equations with nonlinear damping, logarithmic source, delay in the velocity, and acoustic boundary conditions.
Park Sun-Hye
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Boundary Value Problems, 2020 In this paper, we study the blow-up criterion for the following nonlinear Schrödinger equation arising in trapped dipolar quantum gases: i ∂ t u = − 1 2 Δ u + a 2 ( x 1 2 + x 2 2 + x 3 2 ) u + λ 1 | u | 2 u + λ 2 ( K ∗ | u | 2 ) u , ( t , x ) ∈ [ 0 , T ∗
Yi Yuan, Binhua Feng
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A new blow up criterion for the 3D magneto-micropolar fluid flows without magnetic diffusion
Boundary Value Problems, 2021 This note obtains a new regularity criterion for the three-dimensional magneto-micropolar fluid flows in terms of one velocity component and the gradient field of the magnetic field.
Dongxiang Chen, Qifeng Liu
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A Blow-Up Criterion for 3D Nonhomogeneous Incompressible Magnetohydrodynamic Equations with Vacuum
Journal of Function Spaces, 2022 For the strong solutions of the nonhomogeneous incompressible magnetohydrodynamics (MHD) system with vacuum, we establish a blow-up criterion for this system in terms of uC0,T;L3ℝ3. Moreover, the result generalizes previous ones in Giga (1986) and He and
Shujuan Wang, Miaoqing Tian, Rijian Su
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