Artificial intelligence as a surrogate brain: bridging neural dynamical models and data. [PDF]
Zhang Y +8 more
europepmc +1 more source
Numerical convergence of the scalar auxiliary variable method applied to nonlinear stiff string models. [PDF]
Russo R, Ducceschi M, Bilbao S.
europepmc +1 more source
Finite Time Blow-Up for the Hypodissipative Navier Stokes Equations with a Force in L t 1 C x 1 , ϵ ∩ L t ∞ L x 2 . [PDF]
Córdoba D, Martínez-Zoroa L, Zheng F.
europepmc +1 more source
A time-delayed mathematical framework for analyzing pertussis transmission dynamics. [PDF]
Raza A +5 more
europepmc +1 more source
The global inverse fractional conductivity problem. [PDF]
Covi G, Railo J, Zimmermann P.
europepmc +1 more source
Linear Stability of Schwarzschild-Anti-de Sitter Spacetimes III: Quasimodes and Sharp Decay of Gravitational Perturbations. [PDF]
Graf O, Holzegel G.
europepmc +1 more source
Fear-driven predator-prey dynamics with prey refuge: analytical framework and physics-informed neural network approach. [PDF]
Ramraj G, Poornima T.
europepmc +1 more source
Local well-posedness for the sixth-order Boussinesq equation [PDF]
In this work we study the local well-posedness of the initial value problem for the nonlinear sixth-order Boussinesq equation utt=uxx+βuxxxx+uxxxxxx+(u2)xx, where β=±1. We prove the local well-posedness with initial data in non-homogeneous Sobolev spaces
Amin Esfahani, Luiz Gustavo Farah
exaly +2 more sources
Local well-posedness for the dispersion generalized periodic KdV equation [PDF]
In this paper, we set up the local well-posedness of the initial value problem for the dispersion generalized periodic KdV equation: ∂tu+∂x|Dx|αu=∂xu2, u(0)=φ for α>2, s⩾−α4 and φ∈Hs(T). And we show that the −α4 is a lower endpoint to obtain the bilinear
Junfeng Li
exaly +2 more sources

