Existence of generalized solutions of pde

Results 111 to 120 of about 969 (189)

AI‐Organized Multiscale Battery Modeling: Linking Structure and Property from Quantum to Device Scales

Small Structures, Volume 7, Issue 6, June 2026.
Multiscale modeling of battery systems combines quantum‐mechanical calculations, atomistic simulations, and mesoscale phase‐field approaches to describe processes spanning from reaction energetics to morphology evolution. Establishing consistent links between these scales remains a key challenge, particularly for the transfer of physical descriptors ...
Shoutong Jin, Ziyuan Wang, Mengke Li, Zeyu Deng +3 more
wiley +1 more source

A Neural Operator Emulator for Coastal and Riverine Shallow Water Dynamics

Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 3, June 2026.
Abstract Coastal regions and river floodplains are particularly vulnerable to the impacts of extreme weather events. Accurate real‐time forecasting of hydrodynamic processes in these areas is essential for infrastructure planning and climate adaptation.
Peter Rivera‐Casillas +9 more
wiley +1 more source

Exploration of nonclassical symmetries and exact solutions to the (4+1)-dimensional Boiti-Leon-Manna-Pempinelli equation. [PDF]

Sci Rep
Ur Rahman M, Akram S, Asif M.
europepmc +1 more source

Existence & Regularity of Weak Solutions of Degenerate Parabolic PDE Models for the Pricing of Security Derivatives

This work is focused on the solvability of initial-boundary value problems for degenerate parabolic partial differential equations that arise in the pricing of Asian options, and on the investigation of differential and certain qualitative properties of ...
Rasoul Behboudi, You-Lan Zhu
core

On representation formulas for Hamilton Jacobi's equations related to calculus of variations problems

, 2002
In this paper, existence and uniqueness of generalized solutions of some first order Hamilton Jacobi equations are proved. This task is accomplished by showing that the value function for a certain problem of the calculus of variations is the unique ...
Plaskacz, Sławomir, Quincampoix, Marc
core

Can AI‐Based Weather Prediction Models Simulate the Butterfly Effect? The Role of Architecture and Implementation

Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 3, June 2026.
Abstract Simulations of numerical weather prediction models indicate that the atmosphere possesses an intrinsic limit of predictability. Initial perturbations of tiny amplitude grow quickly in areas of convection and latent heat release, then spread out and move upscale, eventually affecting even the largest planetary scales after about 2 weeks.
T. Selz, G. C. Craig
wiley +1 more source

Steady-State and Dynamical Behavior of a PDE Model of Multilevel Selection with Pairwise Group-Level Competition. [PDF]

Bull Math Biol
Alexiou K, Cooney DB.
europepmc +1 more source

Information Flow in Geophysical Systems

Journal of Advances in Modeling Earth Systems, Volume 18, Issue 6, June 2026.
Abstract We present a new framework for analyzing the evolution of information in geophysical systems. Understanding how information, and its counterpart, uncertainty, propagates is central to predictability studies and has significant implications for applications such as forecast uncertainty quantification and risk management. It also offers valuable
P. J. van Leeuwen
wiley +1 more source

Sub pico-second pulses in mono-mode optical fibers with Triki-Biswas model. [PDF]

Sci Rep
Hussain A +5 more
europepmc +1 more source

СИММЕТРИИ И ИНТЕГРИРУЕМОСТЬ ПО ЛАКСУ ОБОБЩЕННОГО УРАВНЕНИЯ ПРУДМАНА - ДЖОНСОНА

, 2017
We study local symmetries of the generalized Proudman-Johnson equation. Symmetries of a partial differential equation may be used to find its invariant solutions.
O. I. Morozov, О. И. Морозов
core