Results 11 to 20 of about 409,387 (264)

Higher regularity of solutions of free discontinuity problems

open access: yesDifferential and Integral Equations, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
AMBROSIO, Luigi, Fusco N, Pallara D.
openaire   +7 more sources

Regularity of minimizers for free-discontinuity problems with p(·)-growth [PDF]

open access: yesE S A I M: Control, Optimisation and Calculus of Variations, 2023
. A regularity result for free-discontinuity energies defined on the space SBV p(·) of special functions of bounded variation with variable exponent is proved, under the assumption of a log-Ho¨lder continuity for the variable exponent p(x).
C. Leone   +3 more
semanticscholar   +1 more source

Physics-Informed Neural Networks for Solving Coupled Stokes–Darcy Equation

open access: yesEntropy, 2022
In this paper, a grid-free deep learning method based on a physics-informed neural network is proposed for solving coupled Stokes–Darcy equations with Bever–Joseph–Saffman interface conditions.
Ruilong Pu, Xinlong Feng
doaj   +1 more source

A shock-capturing meshless method for solving the one-dimensional Saint-Venant equations on a highly variable topography

open access: yesJournal of Hydroinformatics, 2023
The Saint-Venant equations are numerically solved to simulate free surface flows in one dimension. A Riemann solver is needed to compute the numerical flux for capturing shocks and flow discontinuities occurring in flow situations such as hydraulic jump,
D. Satyaprasad   +2 more
doaj   +1 more source

A numerical study of the expansion of a gas-particles mixture with axial symmetry [PDF]

open access: yesНаучно-технический вестник информационных технологий, механики и оптики, 2021
The article deals with the study of new phenomena that accompany the free or wall-bounded expansion of a nonequilibrium in terms of velocities and temperatures mixture of gas and particles of various sizes with axial symmetry.
Elena N. Shirokova
doaj   +1 more source

Griffith energies as small strain limit of nonlinear models for nonsimple brittle materials

open access: yesMathematics in Engineering, 2020
We consider a nonlinear, frame indifferent Griffith model for nonsimple brittle materials where the elastic energy also depends on the second gradient of the deformations.
Manuel Friedrich
doaj   +1 more source

On regularization of a summary equation with holomorphic coefficients

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки, 2022
Let D be a triangle with boundary Γ = ∂D. A six-element linear summary equation in the class of functions that are holomorphic outside D and vanish at infinity is considered. The coefficients of the equation and the free term are holomorphic in D.
F.N. Garifyanov, E.V. Strezhneva
doaj   +1 more source

Homogenisation of high-contrast brittle materials

open access: yesMathematics in Engineering, 2020
This paper is an overview on some recent results concerning the variational analysis of static fracture in the so-called high-contrast brittle composite materials. The paper is divided into two main parts.
Caterina Ida Zeppieri
doaj   +1 more source

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