Results 101 to 110 of about 37,100 (232)

A Mathematical Model for Two‐Phase Flow in Confined Environments: Numerical Solution and Validation

International Journal for Numerical Methods in Fluids, Volume 98, Issue 3, Page 306-320, March 2026.
We present a numerical framework based on the Cahn‐Hilliard‐Navier‐Stokes (CHNS) model to simulate biphasic flow in confined environments. After deriving the mathematical model, we develop the weak form of the system of PDEs using a pedagogical approach to enable its implementation in FEniCS.
Giuseppe Sciumè, Haohong Pi, Abdelaziz Omari, Thomas Lavigne   +3 more
wiley   +1 more source

Numerical and Analytical Study of Elastic Parameters in Linearized Micropolar Elasticity

PAMM, Volume 26, Issue 1, March 2026.
ABSTRACT The effect of elastic parameters in the linearized theory of micropolar elasticity on observable deformation is analyzed analytically and numerically. Specifically, a shear deformation boundary value problem is studied to explore the physical implications of a micropolar formulation. Our new analytical solution for the two‐dimensional shearing
Lucca Schek, Wolfgang H. Müller
wiley   +1 more source

Reduced-Order Model for Performance Simulation and Conceptual Design of Rocket-Type Pulse Detonation Engines

Aerospace
A model-based method has been developed for the performance simulation and conceptual design of rocket-type pulse detonation engines (PDEs). A reduced-order model (ROM) has been generated based on the high order singular value decomposition of a data ...
Luis Sánchez de León, Francisco Sastre, Elena Martin, Angel Velazquez   +3 more
doaj   +1 more source

Estimates on the generalization error of Physics Informed Neural\n Networks (PINNs) for approximating a class of inverse problems for PDEs [PDF]

, 2020
Siddhartha Mishra, R. Molinaro
openalex   +1 more source

A Generalization Error Bound of Physics‐Informed Neural Networks for Ecological Diffusion Models

Stat, Volume 15, Issue 1, March 2026.
ABSTRACT Ecological diffusion equations (EDEs) are partial differential equations (PDEs) that model spatiotemporal dynamics, often applied to wildlife diseases. Derived from ecological mechanisms, EDEs are useful for forecasting, inference, and decision‐making, such as guiding surveillance strategies for wildlife diseases.
Juan Francisco Mandujano Reyes, Ting Fung Ma, Ian McGahan, Daniel Walsh, Jun Zhu   +4 more
wiley   +1 more source

One-Dimensional Elastic and Viscoelastic Full-Waveform Inversion in Heterogeneous Media Using Physics-Informed Neural Networks

IEEE Access
In this study, we discuss a mathematical framework to handle the inverse problem for the applications of partial differential equations (PDEs). In particular, we focus on wave equations and attempt to identify the wave parameters such as wave velocity ...
Alireza Pakravan
doaj   +1 more source

Sharp commutator estimates of all order for Coulomb and Riesz modulated energies

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 207-292, February 2026.
Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
wiley   +1 more source

Application of physics-informed neural networks (PINNs) solution to coupled thermal and hydraulic processes in silty sands

International Journal of Geo-Engineering
The accurate modeling of water and heat transport in soils is crucial for both geo-environmental and geothermal engineering. Traditional modeling methods are problematic because they require well-defined boundaries and initial conditions.
Yuan Feng, Jongwan Eun, Seunghee Kim, Yong-Rak Kim   +3 more
doaj   +1 more source

Dimer models and conformal structures

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala, Erik Duse, István Prause, Xiao Zhong   +3 more
wiley   +1 more source

Theoretical and numerical results for some inverse problems for PDEs

, 2021
We consider geometric inverse problems concerning the one-dimensional Burgers equation and some related nonlinear systems (involving heat effects and variable density). In these problems, the goal is to find the size of the spatial interval from some appropriate boundary observations of the solution.
Apraiz, Jone, Doubova, Anna, Fernández Cara, Enrique, Yamamoto, Masahiro   +3 more
openaire   +1 more source