Sharp commutator estimates of all order for Coulomb and Riesz modulated energies
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
Phenotype structuring in collective cell migration: a tutorial of mathematical models and methods. [PDF]
Lorenzi T, Painter KJ, Villa C.
europepmc +1 more source
Dimer models and conformal structures
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 +3 more
wiley +1 more source
A hybrid yang transform adomian decomposition method for solving time-fractional nonlinear partial differential equation. [PDF]
Bekela AS, Deresse AT.
europepmc +1 more source
This paper introduces the Fractional Novel Analytical Method (FNAM), a Taylor‐series‐based technique for approximating nonlinear fractional differential‐difference equations. Built on the Caputo derivative, FNAM achieves rapid convergence without relying on Adomian polynomials, perturbation schemes, or transform methods.
Uroosa Arshad +3 more
wiley +1 more source
ANN-based analysis of MHD third-grade hybrid nanofluid flow over a thin needle with fuzzy volume fraction under nonlinear radiation and heat generation. [PDF]
Siddique I +6 more
europepmc +1 more source
Phytochemicals from Algerian medicinal plants were virtually screened as potential phosphodiesterase‐5 (PDE5) inhibitors for erectile dysfunction therapy. Drug‐likeness and toxicity analyses identified catechin, ellagic acid, and rosmarinic acid as safe, bioavailable candidates.
Farouk Boudou +7 more
wiley +1 more source
Fractional dynamics study: analytical solutions of modified Kordeweg-de Vries equation and coupled Burger's equations using Aboodh transform. [PDF]
Iqbal N +5 more
europepmc +1 more source
Model‐Free Data‐Driven Computational Analysis for Soil Consolidation Problems
ABSTRACT Soils are inherently uncertain natural materials. In geotechnical engineering, soil properties are fundamentally characterised by testing small samples. The results will then be utilised to determine appropriate geomaterial constitutive models and associated parameters for implementation in conventional computational procedures such as finite ...
Wuzhou Zhai +3 more
wiley +1 more source
Learning nonlinear operators in latent spaces for real-time predictions of complex dynamics in physical systems. [PDF]
Kontolati K +3 more
europepmc +1 more source

