Results 11 to 20 of about 3,634 (78)

On the stabilizing effect of rotation in the 3d Euler equations

Communications on Pure and Applied Mathematics, Volume 76, Issue 12, Page 3553-3641, December 2023., 2023
Abstract While it is well known that constant rotation induces linear dispersive effects in various fluid models, we study here its effect on long time nonlinear dynamics in the inviscid setting. More precisely, we investigate stability in the 3d rotating Euler equations in R3$\mathbb {R}^3$ with a fixed speed of rotation.
Yan Guo, Chunyan Huang, Benoit Pausader, Klaus Widmayer   +3 more
wiley   +1 more source

Nonlinear inviscid damping and shear‐buoyancy instability in the two‐dimensional Boussinesq equations

Communications on Pure and Applied Mathematics, Volume 76, Issue 12, Page 3685-3768, December 2023., 2023
Abstract We investigate the long‐time properties of the two‐dimensional inviscid Boussinesq equations near a stably stratified Couette flow, for an initial Gevrey perturbation of size ε. Under the classical Miles‐Howard stability condition on the Richardson number, we prove that the system experiences a shear‐buoyancy instability: the density variation
Jacob Bedrossian, Roberta Bianchini, Michele Coti Zelati, Michele Dolce   +3 more
wiley   +1 more source

Short‐term load forecasting based on a generalized regression neural network optimized by an improved sparrow search algorithm using the empirical wavelet decomposition method

Energy Science &Engineering, Volume 11, Issue 7, Page 2444-2468, July 2023., 2023
Mode representation of power energy utilization processes and coupling integration effects of swarm intelligence (sparrow) methods. Abstract With the development of the electric market, electric load forecasting has been increasingly pursued by many scholars.
Guo‐Feng Fan, Yun Li, Xin‐Yan Zhang, Yi‐Hsuan Yeh, Wei‐Chiang Hong   +4 more
wiley   +1 more source

Well‐Posedness in Variable‐Exponent Function Spaces for the Three‐Dimensional Micropolar Fluid Equations

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
In this paper, we work on the Cauchy problem of the three‐dimensional micropolar fluid equations. For small initial data, in the variable‐exponent Fourier–Besov spaces, we achieve the global well‐posedness result. The Littlewood–Paley decomposition method and the Fourier‐localization technique are main tools to obtain the results. Moreover, the results
Muhammad Zainul Abidin, Muhammad Marwan, Naeem Ullah, Ahmed Mohamed Zidan, Yongqiang Fu   +4 more
wiley   +1 more source

Quantitative Weighted Bounds for Littlewood‐Paley Functions Generated by Fractional Heat Semigroups Related with Schrödinger Operators

Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023
Let L = −Δ + V be a Schrödinger operator on ℝn, where Δ denotes the Laplace operator ∑i=1n∂2/∂xi2 and V is a nonnegative potential belonging to a certain reverse Hölder class RHq(ℝn) with q > n/2. In this paper, by the regularity estimate of the fractional heat kernel related with L, we establish the quantitative weighted boundedness of Littlewood ...
Li Yang, Pengtao Li, Andrea Scapellato
wiley   +1 more source

Traces of some weighted function spaces and related non‐standard real interpolation of Besov spaces

Mathematische Nachrichten, Volume 295, Issue 9, Page 1669-1689, September 2022., 2022
Abstract We study traces of weighted Triebel–Lizorkin spaces Fp,qs(Rn,w)$F^s_{p,q}(\mathbb {R}^n,w)$ on hyperplanes Rn−k$\mathbb {R}^{n-k}$, where the weight is of Muckenhoupt type. We concentrate on the example weight wα(x)=|xn|α$w_\alpha (x) = {\big\vert x_n\big\vert }^\alpha$ when |xn|≤1$\big\vert x_n\big\vert \le 1$, x∈Rn$x\in \mathbb {R}^n$, and ...
Blanca F. Besoy, Dorothee D. Haroske, Hans Triebel   +2 more
wiley   +1 more source

Maximal regularity for the Cauchy problem of the heat equation in BMO

Mathematische Nachrichten, Volume 295, Issue 7, Page 1406-1442, July 2022., 2022
Abstract We consider maximal regularity for the Cauchy problem of the heat equation in a class of bounded mean oscillations (BMO$BMO$). Maximal regularity for non‐reflexive Banach spaces is not obtained by the established abstract theory. Based on the symmetric characterization of BMO$BMO$‐expression, we obtain maximal regularity for the heat equation ...
Takayoshi Ogawa, Senjo Shimizu
wiley   +1 more source

Classification of complex power quality disturbances based on modified empirical wavelet transform and light gradient boosting machine

IET Generation, Transmission &Distribution, Volume 16, Issue 10, Page 1974-1989, May 2022., 2022
Abstract Accurate detection and classification of power quality (PQ) disturbances is an essential prerequisite for PQ mitigation. To address this issue, a new PQ assessment framework based on modified empirical wavelet transform (MEWT) and light gradient boosting machine (LightGBM) is proposed here.
Jianzhang Wu, Fei Mei, Chenyu Zhang, Huiyu Miao, Kai Li, Jianyong Zheng   +5 more
wiley   +1 more source