Results 91 to 100 of about 618 (178)

Intermittent Two-Point Dynamics at the Transition to Chaos for Random Circle Endomorphisms. [PDF]

Commun Math Phys
Goverse VPH, Homburg AJ, Lamb JSW.
europepmc   +1 more source

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone, Louise Gassot, Patrick Gérard, Peter D. Miller   +3 more
wiley   +1 more source

Comparing Dynamical Models Through Diffeomorphic Vector Field Alignment. [PDF]

Neural Comput
Chen R, Vedovati G, Braver T, Ching S.
europepmc   +1 more source

Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati, Augusto Del Zotto, Klaus Widmayer   +2 more
wiley   +1 more source

Isolated steady solutions of the 3D Euler equations. [PDF]

Proc Natl Acad Sci U S A
Enciso A, Kepplinger W, Peralta-Salas D.
europepmc   +1 more source

Front Propagation Through a Perforated Wall

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki, François Hamel, Hiroshi Matano   +2 more
wiley   +1 more source

Structured Dynamics in the Algorithmic Agent. [PDF]

Entropy (Basel)
Ruffini G, Castaldo F, Vohryzek J.
europepmc   +1 more source

DinoFlow: Self‐supervised pretraining in flow cytometry enables accurate detection of common hematopathological disorders

Cytometry Part B: Clinical Cytometry, EarlyView.
Abstract Flow cytometry is an essential component of routine hematological lab testing. Many computational methods have been proposed for the analysis of flow cytometry data, but most have focused on supervised learning for just one or a few specific disorders.
Brendan O'Fallon, Muir Morrison, Mattia Medina Grespan, Nicholas C. Spies, David P. Ng   +4 more
wiley   +1 more source

Towards a mathematical framework for modelling cell fate dynamics. [PDF]

J Math Biol
Vittadello ST, Diaz L, Liu Y, Zanca A, Stumpf MPH.   +4 more
europepmc   +1 more source

Droplet microfluidics: Enabling the tailored fabrication of hydrogel particles

Droplet, EarlyView.
Droplet microfluidics enables precise, versatile fabrication of hydrogel particles with controlled size, composition, and structure. This review summarizes fundamental principles, engineering strategies, and emerging applications, providing a framework for advancing microfluidic hydrogel technologies.
Zhongqiao Gan, Xu Hou
wiley   +1 more source