Integral representations of solutions to pdes

Results 141 to 150 of about 10,381 (194)

Mapping Ice Stream Sensitivity in the Amundsen Sector to Uncertainty in Ice Velocity Observations

Geophysical Research Letters, Volume 52, Issue 17, 16 September 2025.
Abstract Satellite‐derived ice‐velocity products are essential for initializing ice‐sheet models and forecasting ice evolution in a warming climate. Understanding where sea‐level rise (SLR) projections are sensitive to observational errors is key to improve model accuracy and reduce uncertainty.
Beatriz Recinos +3 more
wiley +1 more source

Exact solutions for nonlinear partial differential equations via a fusion of classical methods and innovative approaches. [PDF]

Sci Rep
Mhadhbi N, Gana S, Alsaeedi MF.
europepmc +1 more source

Efficient and Realistic Brain Simulation: A Review and Design Guide for Memristor‐Based Approaches

Advanced Materials Technologies, Volume 10, Issue 17, September 4, 2025.
Memristor‐based emulation of Hodgkin‐Huxley neuron models is investigated, by defining the ideal device characteristics needed for accurate ion‐channel representation and reviewing existing works targeting memristive replication of biological realistic neural behavior.
Lennart Paul Liong Landsmeer +5 more
wiley +1 more source

Assessment and Comparative Study of Free and Commercial Numerical Software Packages for Lithium‐Ion Battery Modeling

Advanced Theory and Simulations, Volume 8, Issue 9, September 2025.
This study evaluates the simulation capabilities of lithium‐ion battery (LIB) electrochemical simulation software packages. The benchmark simulation results reveal the impacts of parameter sensitivity to solver performance and stability. The guidelines to troubleshooting common solver failures at high current rates lowers the steep learning curve to ...
Kenneth C. Nwanoro, Michael P. Mercer, Harry E. Hoster +2 more
wiley +1 more source

High accuracy solutions for the Pochhammer-Chree equation in elastic media. [PDF]

Sci Rep
Khater MMA, Alfalqi SH.
europepmc +1 more source

Genetic Impacts on the Structure and Mechanics of Cellulose Made by Bacteria

Advanced Science, Volume 12, Issue 33, September 4, 2025.
A genetic mutation in a protease of a cellulose‐overproducing evolved bacterium significantly affects the proteome, structure, and mechanical properties of bio‐fabricated cellulose pellicles. By overexpressing synthase proteins that build the cellulose‐forming biological machinery of the cell, the evolved bacterium generates dense, stiff, and strong ...
Julie M. Laurent +8 more
wiley +1 more source

The Allen-Cahn equation with weakly critical random initial datum. [PDF]

Probab Theory Relat Fields
Gabriel S, Rosati T, Zygouras N.
europepmc +1 more source

Programmable DNA‐Based Molecular Neural Network Biocomputing Circuits for Solving Partial Differential Equations

Advanced Science, Volume 12, Issue 33, September 4, 2025.
This research introduces an augmented matrix‐based DNA molecular neural network to achieve molecular‐level solving of biological Brusselator PDEs. Crucial innovations include: (i) an augmented matrix‐based DNA molecular neural network, enabling multidimensional parameter integration through DNA strand displacement cascades and iterative weight ...
Yijun Xiao +5 more
wiley +1 more source

Neuron signal attenuation activation mechanism for deep learning. [PDF]

Patterns (N Y)
Jiang W, Yuan H, Liu W.
europepmc +1 more source

The porous medium equation: Large deviations and gradient flow with degenerate and unbounded diffusion

Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1609-1655, September 2025.
Abstract The problem of deriving a gradient flow structure for the porous medium equation which is thermodynamic, in that it arises from the large deviations of some microscopic particle system is studied. To this end, a rescaled zero‐range process with jump rate g(k)=kα,α>1$g(k)=k^\alpha, \alpha >1$ is considered, and its hydrodynamic limit and ...
Benjamin Gess, Daniel Heydecker
wiley +1 more source