Monotone operators in mathematical finance: nonlinear black-scholes equation
International audienceWe treat nonlinear parabolic Cauchy problems for valuation of options in financial markets, especially problems of Black-Scholes-type with nonlinear diffusion. Typically, methods based on viscosity solutions are used for determining
Takáč, Peter, Alziary, Bénédicte
core +1 more source
A Survey of Interlayer Interaction Models for Graphene and Other 2D Materials
Advanced Materials Interfaces, EarlyView.Van der Waals interactions arising from electronic polarization at atomically close interfaces generate corrugated interlayer energy landscapes that govern normal and tangential tractions. This review presents an overview of quantum, atomistic, analytical, and continuum modeling approaches, highlighting their roles across length scales in capturing ...
Gourav Yadav +2 more
wiley +1 more source
Femtosecond‐Laser Mould Texturing Enables Tunable Biointerfaces in COC Microfluidics
Advanced Materials Interfaces, EarlyView.Femtosecond‐laser texturing of injection‐mould inserts enables scalable engineering of biointerfaces in cyclic olefin copolymer microfluidics. Replicated micro‐ and nano‐topographies modulate surface roughness and wettability, leading to texture‐dependent protein adsorption and cell adhesion without chemical post‐processing.
Irene Varela‐Leniz +9 more
wiley +1 more source
Area Law for the Entanglement Entropy of Free Fermions in Nonrandom Ergodic Field. [PDF]
Entropy (Basel)Pastur L, Shamis M.
europepmc +1 more source
A 3D‐Printed Blister Test Platform for Quantifying Biointerface Adhesion Mechanisms
Advanced Materials Interfaces, EarlyView.A 3D‐printed blister platform enables energy‐resolved characterization of soft hydrogel–rigid interfaces. Integrating precision pressure control with hyperelastic modeling directly quantifies adhesion energy (G) and R‐curve toughening. Results reveal that modulating hydrogel concentration and surface roughness drives a tunable transition from cohesive ...
Yoontae Kim +4 more
wiley +1 more source
Monotone Peridynamic Neural Operator for Nonlinear Material Modeling with Conditionally Unique Solutions. [PDF]
Comput Methods Appl Mech EngWang J +5 more
europepmc +1 more source
Advanced Materials Interfaces, EarlyView.A triple‐cation perovskite detector with a quasi‐interdigitated back‐contact architecture enables highly sensitive and linear EUV/soft x‐ray detection by minimizing electrode shadowing and enhancing charge extraction. Efficient interfacial carrier collection and rapid temporal response highlight the potential of back‐contact‐engineered perovskites for ...
Jingying Liu +5 more
wiley +1 more source
Asymptotic Regularity of a Generalised Stochastic Halpern Scheme. [PDF]
J Optim Theory ApplPischke N, Powell T.
europepmc +1 more source
Advances in Halide Perovskites for Photon Radiation Detectors
Advanced Materials Technologies, EarlyView.This work highlights recent progress in perovskite‐based photon radiation detectors, covering organic–inorganic hybrid, inorganic, lead‐free double, and vacancy‐ordered halide perovskites. Their detection performance is compared, material‐specific advantages and challenges are examined, and provides insight into current limitations and future ...
Liangling Wang +3 more
wiley +1 more source
Perturbative Diagonalization and Spectral Gaps of Quasiperiodic Operators on ℓ 2 ( Z d ) with Monotone Potentials. [PDF]
Commun Math PhysKachkovskiy I +2 more
europepmc +1 more source