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Application of the Local Discontinuous Galerkin Method to the Solution of the Quasi-Gas Dynamic System of Equations
AbstractThe solution of a quasi-gas dynamic (QGD) system of equations using the local discontinuous Galerkin method (LDG) is considered....
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Introduction to the Wang–Yau Quasi-local Energy
This chapter is planned as a short introduction to the Wang–Yau quasi-local energy of closed spacelike surfaces in spacetimes. We start with...
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Mass, Capacitary Functions, and the Mass-to-Capacity Ratio
We study connections among the ADM mass, positive harmonic functions, and capacity of the boundary on asymptotically flat 3-manifolds of nonnegative...
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Non-local damage modelling of quasi-brittle composites
Most building materials can be characterized as quasi-brittle composites with a cementitious matrix, reinforced by some stiffening particles or...
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Mass, center of mass and isoperimetry in asymptotically flat 3-manifolds
We revisit the interplay between the mass, the center of mass and the large scale behavior of certain isoperimetric quotients in the setting of...
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Reconstruction of Quasi-Local Numerical Effective Models from Low-Resolution Measurements
We consider the inverse problem of reconstructing an effective model for a prototypical diffusion process in strongly heterogeneous media based on...
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Notion of Mass in (A)dS \(_4\) Relativity
In this chapter, we review a consistent and univocal definition of mass in...
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\(1+3\) -Dimensional dS (dS \(_4\) ) Relativity: The Notion of Mass
In this chapter, our focus is on providing a thorough examination of a consistent and unambiguous definition of mass within the framework of...
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A Yee-Like Finite Element Scheme for Maxwell’s Equations on Hybrid Grids with Mass-Lum**
A novel finite element method for the approximation of Maxwell’s equations over hybrid two-dimensional grids is studied. The choice of appropriate...
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Traveling waves and effective mass for the regularized Landau-Pekar equations
We consider the regularized Landau-Pekar equations with positive speed of sound and prove the existence of subsonic traveling waves. We provide a...
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An adaptive FEM for the elastic transmission eigenvalue problem with different elastic tensors and different mass densities
The elastic transmission eigenvalue problem, arising from the inverse scattering theory, plays a critical role in the qualitative reconstruction...
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Analysis of mass controlled reaction–diffusion systems with nonlinearities having critical growth rates
We analyze semilinear reaction–diffusion systems that are mass controlled, and have nonlinearities that satisfy critical growth rates. The systems...
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Haptotaxis–Chemotaxis Tumor Invasion with Weighted Mass-Conservative Quantity
We consider a haptotaxis–chemotaxis tumor invasion model, which is derived by mixing two models. One model is proposed by Chaplain and Anderson in...
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Mass- and energy-conserving Gauss collocation methods for the nonlinear Schrödinger equation with a wave operator
A fully discrete finite element method with a Gauss collocation in time is proposed for solving the nonlinear Schrödinger equation with a wave...
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The Global Combined Quasi-Neutral and Zero-Electron-Mass Limit of Non-Isentropic Euler-Poisson Systems
We consider a non-isentropic Euler-Poisson system with two small parameters arising in the modeling of unmagnetized plasmas and semiconductors. On...
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Multiplicity of nontrivial solutions for Kirchhoff type equations with zero mass and a critical term
In this paper, a class of Kirchhoff type equations in ℝ N ( N ⩾ 3) with zero mass and a critical term is studied. Under some appropriate conditions,...
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Mass in General Relativity
In this chapter we address the important but subtle concept of mass in general relativity. Following Wald (General relativity, University of Chicago...
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A class of fractional parabolic reaction–diffusion systems with control of total mass: theory and numerics
In this paper, we prove global-in-time existence of strong solutions to a class of fractional parabolic reaction–diffusion systems posed in a bounded...
