Results 91 to 100 of about 177,748 (281)

Long‐Time Solvability and Asymptotics for the 3D Rotating MHD Equations

Mathematische Nachrichten, EarlyView.
ABSTRACT We consider the initial value problem for the 3D incompressible rotating MHD equations around a constant magnetic field. We prove the long‐time existence and uniqueness of solutions for small viscosity coefficient and high rotating speed. Moreover, we investigate the asymptotic behavior of solutions in the limit of vanishing viscosity and fast
Hiroki Ohyama
wiley   +1 more source

Bilinear Forms and (Hyper-) Determinants

Advances in Mathematics, 1996
It is the purpose of this paper to describe the homology of \(K_A\) (Koszul complex), in the case \(n=2\). The article is organized as follows. Section 2 contains some preliminaries together with the definition of the complexes \(B(a,b;A)\). Section 3 shows that over \(\mathbb{C}\), the bihomogeneous components of \(K_A\) are expressible in terms of ...
openaire   +3 more sources

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

Linear Subspaces of Solutions Applied to Hirota Bilinear Equation

Aceh International Journal of Science and Technology, 2012
Linear subspace of solution is applied to Boussinesq and Kadomtseve-Petviashvili (KP) equations using Hirota bilinear transformation. A sufficient and necessary condition for the existence of linear subspaces of exponential travelling wave solutions to ...
M. Y. Adamu, E. Suleiman
doaj  

Bilinear form and soltion solutions for (3+1)-dimensional negative-order KdV-CBS equation

Open Physics
This article investigates a significant mathematical model for multiwave interactions. For the first time, the bilinear form of the (3+1)-dimensional negative-order Korteweg–de Vries (KdV)-Calogero–Bogoyavlenskii–Schiff (CBS) equation is derived using ...
Chen Dan
doaj   +1 more source

Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo, Delfina Gómez, Maria‐Eugenia Pérez‐Martínez   +2 more
wiley   +1 more source

On effective Witt decomposition and Cartan-Dieudonne theorem

, 2004
Let $K$ be a number field, and let $F$ be a symmetric bilinear form in $2N$ variables over $K$. Let $Z$ be a subspace of $K^N$. A classical theorem of Witt states that the bilinear space $(Z,F)$ can be decomposed into an orthogonal sum of hyperbolic ...
Fukshansky, Lenny
core  

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source

Analyzing Soliton Solutions of the (n+1)-dimensional generalized Kadomtsev–Petviashvili equation: Comprehensive study of dark, bright, and periodic dynamics

Results in Physics
This paper investigates the (n+1) dimensional integrable extension of the Kadomtsev–Petviashvili (KP) equation. The study focuses on extracting Auto-Bäcklund transformations for the given model using the extended homogeneous balance (HB) method in ...
Nauman Raza, Ahmed Deifalla, Beenish Rani, Nehad Ali Shah, Adham E. Ragab   +4 more
doaj   +1 more source

LowCOST‐HSQC Variants for Fast‐Pulsing High ω1$$ {\omega}_1 $$‐Resolved 2D Experiments

Magnetic Resonance in Chemistry, EarlyView.
The LowCOST‐HSQC is a sensitivity‐enhanced HSQC version that retains unused proton polarization for subsequent scans in correlations to low natural abundance nuclei like 13$$ {}^{13} $$C or 15$$ {}^{15} $$N. Together with fast polarization distribution via isotropic mixing, it allows the acquisition of fast‐pulsing 2D experiments.
David Schulze‐Sünninghausen, Johanna Becker, Martin R. M. Koos, Burkhard Luy   +3 more
wiley   +1 more source