Results 51 to 60 of about 20,976 (198)

The Initial Value Formulation of Dynamical Chern-Simons Gravity

, 2015
We derive an initial value formulation for dynamical Chern-Simons gravity, a modification of general relativity involving parity-violating higher derivative terms.
Delsate, Térence, Hilditch, David, Witek, Helvi   +2 more
core   +1 more source

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

Machine learning based analysis of heat transfer in tangent hyperbolic fluid at heat generating magnetized surface

International Journal of Thermofluids
An artificial intelligence-based study is conducted to examine the heat transfer in the tangent hyperbolic fluid using a stretchable magnetized surface.
Khalil Ur Rehman, Wasfi Shatanawi, Taqi A.M. Shatnawi   +2 more
doaj   +1 more source

Magnetohydrodynamics tangent hyperbolic nanofluid flow over an exponentially stretching sheet: Numerical investigation

Case Studies in Thermal Engineering, 2023
This article gives a numerical study of tangent hyperbolic nanofluid flow across an exponentially stretched sheet by considering two heat transfer situations: prescribed exponential order surface temperature (PEST) and prescribed exponential order heat ...
Muhammad Amjad, M.N. Khan, Kamran Ahmed, Iftikhar Ahmed, Tanvir Akbar, Sayed M. Eldin   +5 more
doaj   +1 more source

Stability for an inverse problem for a two speed hyperbolic pde in one space dimension

, 2009
We prove stability for a coefficient determination problem for a two velocity 2x2 system of hyperbolic PDEs in one space dimension.Comment: Revised Version.
Achenbach J D, Belishev M I, Belishev M I, Belishev M I, Belishev M I, Belishev M I, Belishev M I, Nizhnik L P, Paul Sacks, Rakesh, , Sacks P, Sacks P   +11 more
core   +1 more source

Fast Singular Limits of Hyperbolic PDEs

Journal of Differential Equations, 1994
The symmetric-hyperbolic system containing the small parameter \(\varepsilon\), \[ \partial_t U+ \sum K^i \partial_{\eta_i} U= \varepsilon[\sum A^i(U) \partial_{x_i} U+ \sum D^i(U) \partial_{\eta_i} U+ F(U)],\;\eta\in \mathbb{T}^m,\;x\in \mathbb{R}^n \] is considered. The initial data lies in \(H(\mathbb{T}^m\times \mathbb{R}^n)\).
openaire   +1 more source

Disturbance attenuation of n + 1 coupled hyperbolic PDEs [PDF]

53rd IEEE Conference on Decision and Control, 2014
In this paper, we present a state-feedback and a state-observer for disturbance attenuation problems for a class of n + 1 coupled linear hyperbolic partial differential equations. The disturbance and the sensing are located at the left boundary of the system while the actuation is located at the right boundary of the system (anti-collocated setup). The
openaire   +3 more sources

From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama, Marina Murillo‐Arcila, Julio Puerta‐Fernández   +2 more
wiley   +1 more source

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

Continuum Mechanics and Thermodynamics in the Hamilton and the Godunov-type Formulations

, 2017
Continuum mechanics with dislocations, with the Cattaneo type heat conduction, with mass transfer, and with electromagnetic fields is put into the Hamiltonian form and into the form of the Godunov type system of the first order, symmetric hyperbolic ...
Grmela, Miroslav, Pavelka, Michal, Peshkov, Ilya, Romenski, Evgeniy   +3 more
core   +1 more source