Results 1 to 10 of about 590,247 (142)
Γ-Convergence of free discontinuity problems [PDF]
Annales de l'Institut Henri Poincare. Analyse non linéar, 2018 We study the Γ-convergence of sequences of free-discontinuity functionals depending on vector-valued functions u which can be discontinuous across hypersurfaces whose shape and location are not known a priori.
Cagnetti, Filippo +3 more
core +3 more sources
Regularity of minimizers for free-discontinuity problems with p(·)-growth [PDF]
E 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
Entropy, 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
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Degenerate Free Discontinuity Problems and Spectral Inequalities in Quantitative Form [PDF]
Archive for Rational Mechanics and Analysis, 2020 We introduce a new geometric–analytic functional that we analyse in the context of free discontinuity problems. Its main feature is that the geometric term (the length of the jump set) appears with a negative sign.
D. Bucur, A. Giacomini, Mickael Nahon
semanticscholar +1 more source
Journal 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
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A numerical study of the expansion of a gas-particles mixture with axial symmetry [PDF]
Научно-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
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Griffith energies as small strain limit of nonlinear models for nonsimple brittle materials
Mathematics 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
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Homogenisation of high-contrast brittle materials
Mathematics 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
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On regularization of a summary equation with holomorphic coefficients
Учёные 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
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Crack growth by vanishing viscosity in planar elasticity
Mathematics in Engineering, 2020 We show the existence of quasistatic evolutions in a fracture model for brittle materials by a vanishing viscosity approach, in the setting of planar linearized elasticity.
Stefano Almi +2 more
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