Results 131 to 140 of about 2,003,558 (249)

Numerical solution to nonlinear Tricomi equation using WENO schemes

Electronic Journal of Differential Equations, 2010
Nonlinear Tricomi equation is a hybrid (hyperbolic-elliptic) second order partial differential equation, modelling the sonic boom focusing. In this paper, the Tricomi equation is transformed into a hyperbolic system of first order equations, in ...
Adrian Sescu, Abdollah A. Afjeh, Carmen Sescu   +2 more
doaj  

Learning Rocking Dynamics From Sparse Shake‐Table Data With Interpretable Physics‐Informed Neural Networks

Earthquake Engineering &Structural Dynamics, Volume 55, Issue 12, Page 3115-3136, 10 October 2026.
ABSTRACT We present a hybrid interpretable Physics‐Informed Neural Network Long‐Short Term Memory (Hybrid PINN LSTM) framework for predicting the seismic response of rocking blocks. Existing analytical models rely on uncertain idealizations, while purely data‐driven and machine‐learning approaches lack physical consistency and interpretability.
Shirley Shen, Christian Málaga‐Chuquitaype   +1 more
wiley   +1 more source

Multi‐Objective Bayesian Co‐Optimization of Parameterized Moving Horizon Estimation and Model Predictive Control

International Journal of Robust and Nonlinear Control, Volume 36, Issue 15, Page 7193-7213, October 2026.
ABSTRACT This paper proposes a Machine Learning (ML)‐enabled estimator‐controller design framework, in which a parameterized Model Predictive Controller (MPC) and a parameterized Moving Horizon Estimator (MHE) are jointly refined using Bayesian Optimization (BO).
Hossein Nejatbakhsh Esfahani, Javad Mohammadpour Velni   +1 more
wiley   +1 more source

Symmetries and exact solutions of nonlinear Dirac equations

, 2006
The authors give a detailed information about symmetry (Lie, non-Lie, conditional) of nonlinear PDEs for spinor, vector and scalar fields; using advanced methods of group-theoretical, symmetry analysis construct wide families of classical solutions of ...
Zhdanov, Renat, Fushchych, Wilhelm
core  

Self-dual instantons and gravitating dyons in non-Abelian ModMax theory

Journal of High Energy Physics
Motivated by the recent interest in conformal and duality invariant nonlinear electrodynamics, we study the non-Abelian extension of ModMax electrodynamics.
Fabrizio Canfora, Cristóbal Corral, Borja Diez, Luis Guajardo, Julio Oliva   +4 more
doaj   +1 more source

Testing the Limits of Surface QG Theory With Deep Learning

Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 5, October 2026.
Abstract Surface Quasi‐Geostrophic (SQG) theory provides a closed‐form mapping from surface buoyancy to interior stream function under the assumption that interior potential vorticity (PV) vanishes (Q=0) $(Q=0)$. In realistic flows, however, the interior PV is typically nonzero.
Wenyu Shan, Dhruvit Patel, Yongqiang Sun, Pedram Hassanzadeh, Eli Tziperman, Dorian S. Abbot   +5 more
wiley   +1 more source

Navigating Supply Shocks: Sector Resilience and Production Prices Through Stochastic Input–Output Modeling

Mathematical Finance, Volume 36, Issue 4, Page 826-845, October 2026.
ABSTRACT This study develops a novel multivariate stochastic framework for assessing systemic risks, such as climate and nature‐related shocks, within production or financial networks. By embedding a linear stochastic fluid network, interpretable as a generalized vector Ornstein–Uhlenbeck process, into the production network of interdependent ...
Giovanni Amici, Gianluca Fusai, Anna Maria Gambaro, Daniele Marazzina   +3 more
wiley   +1 more source

Geometric duality between effective field theories. Part I. Scattering amplitudes

Journal of High Energy Physics
We propose a novel type of duality that connects a sequence of well-known theories with even-multiplicity scalar amplitudes: it relates the Yang-Mills theory coupled to a specific scalar matter sector to the nonlinear sigma model on a symmetric coset ...
Tomáš Brauner, Yang Li, Diederik Roest, Tianzhi Wang   +3 more
doaj   +1 more source

Origin, Strength, and Speed of the Nonlinear Optical Response of Transparent Conducting Oxides to Single‐Cycle Optical Pulses

Nanophotonics, Volume 15, Issue 17, 11 September 2026.
A quantum‐coherent density‐matrix study reveals a predominantly cumulative thermo‐optic nonlinear response in ITO under extremely short pulses, with coherent electron dynamics leaving signatures in macroscopic polarization and permittivity. Remarkably, the permittivity dynamics are accurately reproduced by a simple thermal model. We also generalize the
Ieng‐Wai Un, Subhajit Sarkar, Yonatan Sivan    +2 more
wiley   +1 more source

Normalized solutions for a nonlinear Dirac equation

Journal of Differential Equations
We prove the existence of a normalized, stationary solution $Ψ\colon \mathbb{R}^{3} \to \mathbb{C}^{4}$ with frequency $w > 0$ of the nonlinear Dirac equation. The result covers the case in which the nonlinearity is the gradient of a function of the form \begin{equation*} F(Ψ) = a|(Ψ, γ^{0}Ψ)|^{\fracα{2}} + b|(Ψ, γ^{1}γ^{2} γ^{3} Ψ)|^{\fracα{2 ...
Coti Zelati, Vittorio, Nolasco, Margherita   +1 more
openaire   +4 more sources