Results 131 to 140 of about 10,797 (309)

Deep Learning Prediction of Surface Roughness in Multi‐Stage Microneedle Fabrication: A Long Short‐Term Memory‐Recurrent Neural Network Approach

Advanced Intelligent Discovery, EarlyView.
A sequential deep learning framework is developed to model surface roughness progression in multi‐stage microneedle fabrication. Using real‐world experimental data from 3D printing, molding, and casting stages, an long short‐term memory‐based recurrent neural network captures the cumulative influence of geometric parameters and intermediate outputs ...
Abdollah Ahmadpour, Sara Soltanabadi Farshi, Tuanna Ozcan, Amir Mohammad Ketabchi, Alper Kiraz, Savas Tasoglu   +5 more
wiley   +1 more source

Chaotic pattern and traveling wave solution of the perturbed stochastic nonlinear Schrödinger equation with generalized anti-cubic law nonlinearity and spatio-temporal dispersion

Results in Physics
The main object of this paper is to study the bifurcation, chaotic pattern and traveling wave solution of the perturbed stochastic nonlinear Schrödinger equation with generalized anti-cubic law nonlinearity and spatio-temporal dispersion.
Zhao Li, Chunyan Liu
doaj   +1 more source

Well-posedness results for a nonlinear hyperbolic heat equation

, 1993
The well posedness of a local in time Cauchy problem for a nonlinear hyperbolic heat equation, governing the evolution of a new, semiempirical, temperature scale, is proved.
CIMMELLI, Vito Antonio, W. KOSINSKI
core  

On integrable conservation laws

, 2014
We study normal forms of scalar integrable dispersive (non necessarily Hamiltonian) conservation laws via the Dubrovin-Zhang perturbative scheme. Our computations support the conjecture that such normal forms are parametrised by infinitely many arbitrary
Moro, Antonio, Arsie, Alessandro, Lorenzoni, Paolo   +2 more
core   +1 more source

A Physics Constrained Machine Learning Pipeline for Young's Modulus Prediction in Multimaterial Hyperelastic Cylinders Guided by Contact Mechanics

Advanced Intelligent Discovery, EarlyView.
A physics‐guided machine learning framework estimates Young's modulus in multilayered multimaterial hyperelastic cylinders using contact mechanics. A semiempirical stiffness law is embedded into a custom neural network, ensuring physically consistent predictions. Validation against experimental and numerical data on C.
Christoforos Rekatsinas, Panagiotis Krokidas, Vasileios Vavourakis, Clara Essmann, George Giannakopoulos   +4 more
wiley   +1 more source

Unveiling new exact solutions of the unstable nonlinear Schrödinger equation using the improved modified Sardar sub-equation method

Results in Physics
The improved modified Sardar sub-equation method is used in this study to look into the complex domain of the unstable nonlinear Schrödinger equation, which is a basic idea in quantum physics.
Muhammad Ishfaq Khan, Aamir Farooq, Kottakkaran Sooppy Nisar, Nehad Ali Shah   +3 more
doaj   +1 more source

Group Invariant Solutions of Nonlinear Time-Fractional Hyperbolic Partial Differential Equation

, 2017
In this paper, we have investigated the nonlinear time-fractional hyperbolic partial differential equation (PDE) for its symmetries and invariance properties.
Manoj Pandey, Rajeev Budhiraja, Anupma Bansal   +2 more
core   +1 more source

Gaussian Process Regression–Neural Network Hybrid with Optimized Redundant Coordinates: A New Simple Yet Potent Tool for Scientist's Machine Learning Toolbox

Advanced Intelligent Discovery, EarlyView.
A machine learning method, opt‐GPRNN, is presented that combines the advantages of neural networks and kernel regressions. It is based on additive GPR in optimized redundant coordinates and allows building a representation of the target with a small number of terms while avoiding overfitting when the number of terms is larger than optimal.
Sergei Manzhos, Manabu Ihara
wiley   +1 more source

AN INVERSE PROBLEM FOR A NONLINEAR HYPERBOLIC EQUATION

Eurasian Journal of Mathematical and Computer Applications
For a second-order hyperbolic equation with inhomogeneity |u|m−1u, m > 1, a forward and an one-dimensional inverse problems are studied. The inverse problem is devoted to determining the coefficient under heterogeneity. As an additional information, the trace of the derivative with respect to x of the solution to the forward initial-boundary value ...
V Romanov, T Bugueva
openaire   +1 more source

Decay and stability for nonlinear hyperbolic equations

Journal of Differential Equations, 1984
AbstractThis paper deals with the asymptotic stability of the null solution of a semilinear partial differential equation. The La Salle Invariance Principle has been used to obtain the stability results. The first result is given under quite general hypotheses assuming only the precompactness of the orbits and the local existence.
openaire   +3 more sources