Results 11 to 20 of about 7,625 (113)
Flow-plate interactions: Well-posedness and long-time behavior [PDF]
, 2013 We consider flow-structure interactions modeled by a modified wave equation coupled at an interface with equations of nonlinear elasticity. Both subsonic and supersonic flow velocities are treated with Neumann type flow conditions, and a novel treatment ...
Chueshov, Igor +2 more
core +1 more source
Spatial smoothness of the stationary solutions of the 3D Navier--Stokes equations
, 2006 We consider stationary solutions of the three dimensional Navier--Stokes equations (NS3D) with periodic boundary conditions and driven by an external force which might have a deterministic and a random part.
Odasso, Cyril
core +2 more sources
Loss of regularity for Kolmogorov equations [PDF]
, 2015 The celebrated H\"{o}rmander condition is a sufficient (and nearly necessary) condition for a second-order linear Kolmogorov partial differential equation (PDE) with smooth coefficients to be hypoelliptic.
Hairer, Martin +2 more
core +3 more sources
A trace finite element method for a class of coupled bulk-interface transport problems [PDF]
, 2014 In this paper we study a system of advection-diffusion equations in a bulk domain coupled to an advection-diffusion equation on an embedded surface. Such systems of coupled partial differential equations arise in, for example, the modeling of transport ...
Gross, Sven +2 more
core +4 more sources
Approximation in FEM, DG and IGA: A Theoretical Comparison [PDF]
, 2019 In this paper we compare approximation properties of degree $p$ spline spaces with different numbers of continuous derivatives. We prove that, for a given space dimension, $\smooth {p-1}$ splines provide better a priori error bounds for the approximation
Bressan, Andrea, Sande, Espen
core +2 more sources
The renormalized $\phi^4_4$-trajectory by perturbation theory in a running coupling II: the continuous renormalization group [PDF]
, 1996 The renormalized trajectory of massless $\phi^4$-theory on four dimensional Euclidean space-time is investigated as a renormalization group invariant curve in the center manifold of the trivial fixed point, tangent to the $\phi^4$-interaction.
Benfatto +14 more
core +2 more sources
Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver
International Journal for Numerical Methods in Fluids, EarlyView.A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
wiley +1 more source
Fast Calculation for the Flow and Heat Transfer of Tempered Fractional Maxwell Viscoelastic Fluid
International Journal for Numerical Methods in Fluids, EarlyView.This study develops a tempered fractional Maxwell model to simulate unsteady thermal flow in viscoelastic fluids, capturing key rheological behaviors. A fast SOE‐based algorithm is proposed to improve the computational efficiency of the numerical scheme. Results reveal how key parameters influence fluid motion and heat transfer, demonstrating the model'
Yi Liu, Mochen Jiang, Libo Feng
wiley +1 more source
Nonlinear elliptic equations with high order singularities [PDF]
, 2016 We study non-variational degenerate elliptic equations with high order singular structures. No boundary data are imposed and singularities occur along an {\it a priori} unknown interior region. We prove that positive solutions have a universal modulus of
Teixeira, Eduardo V.
core
Beyond the next step: A multi‐criteria generative validation framework for step selection functions
Methods in Ecology and Evolution, EarlyView.Abstract Step‐selection functions (SSFs), typically fitted using step‐selection analysis (SSA) or integrated step‐selection analysis (iSSA) are widely used to infer habitat selection and movement kernels from high‐frequency telemetry data, but most standard validation tools focus on one‐step‐ahead prediction and do not guarantee that fitted models ...
Aurélien Nicosia
wiley +1 more source