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Basic Principles of Classical Mechanics
To describe the motion of mechanical systems one uses a variety of mathematical models which are based on different principles - laws of motion. In...
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Optimal Lot Size and Backordered Quantity Under Carbon Tax
Researchers and industry are working together to develop low carbon inventory models that comply with carbon pricing regulations while maintaining...
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An elementary proof of existence and uniqueness for the Euler flow in localized Yudovich spaces
We revisit Yudovich’s well-posedness result for the 2-dimensional Euler equations for an inviscid incompressible fluid on either a sufficiently...
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Gradient-Robust Hybrid DG Discretizations for the Compressible Stokes Equations
This paper studies two hybrid discontinuous Galerkin (HDG) discretizations for the velocity-density formulation of the compressible Stokes equations...
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Nonlocal Green Theorems and Helmholtz Decompositions for Truncated Fractional Gradients
In this work we further develop a nonlocal calculus theory (initially introduced in Bellido et al. (Adv Nonlinear Anal 12:20220316, 2023)) associated...
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A Liouville theorem for elliptic equations with a potential on infinite graphs
We investigate the validity of the Liouville property for a class of elliptic equations with a potential, posed on infinite graphs. Under suitable...
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Well-posedness for Hamilton–Jacobi equations on the Wasserstein space on graphs
In this manuscript, given a metric tensor on the probability simplex, we define differential operators on the Wasserstein space of probability...
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Palais–Smale sequences for the prescribed Ricci curvature functional
We obtain a complete description of divergent Palais–Smale sequences for the prescribed Ricci curvature functional on compact homogeneous spaces. As...
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On Vertices of Frontals in the Euclidean Plane
We investigate vertices for plane curves with singular points. As plane curves with singular points, we consider Legendre curves (respectively,...
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Efficient approximation of high-frequency Helmholtz solutions by Gaussian coherent states
We introduce new finite-dimensional spaces specifically designed to approximate the solutions to high-frequency Helmholtz problems with smooth...
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Circuits of ferromagnetic nanowires
In this paper we establish rigorously a one dimensional model of a junction of several ferromagnetic nanowires. Such structures appear in nano...
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On the optimality and decay of p-Hardy weights on graphs
We construct optimal Hardy weights to subcritical energy functionals h associated with quasilinear Schrödinger operators on infinite graphs. Here,...
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Particle Swarm Optimization Numerical Simulation with Exponential Modified cubic B-Spline DQM
Optimization techniques refer to a collection of mathematical algorithms and methodologies used to discover the best possible solutions for specific...
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Upper Semicontinuity of Random Attractors for Random Differential Equations with Nonlinear Diffusion Terms I: Finite-Dimensional Case
The upper semicontinuity of random attractors for stochastic/random (partial) differential equations with nonlinear diffusion term is an unsolved...
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Parabolicity and Cheeger’s constant on graphs
Herein we study p -parabolicity on graphs. We prove that if a uniform graph satisfies the (Cheeger) isoperimetric inequality, then it is non- p -paraboli...
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Error Analysis of Serendipity Virtual Element Methods for Semilinear Parabolic Integro-Differential Equations
The main objective of this study is to evaluate the performance of serendipity virtual element methods in solving semilinear parabolic...
