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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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A Nesterov Type Algorithm with Double Tikhonov Regularization: Fast Convergence of the Function Values and Strong Convergence to the Minimal Norm Solution
We investigate the strong convergence properties of a Nesterov type algorithm with two Tikhonov regularization terms in connection to the...
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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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Conditional Regularity for the 3D Damped Boussinesq Equations with Zero Thermal Diffusion
The main purpose of this paper is to establish regularity criteria of the 3D damped Boussinesq equations with zero thermal diffusion. It is shown...
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An Investigation of the Influence of Time Evolution on the Solution Structure Using Hyperbolic Trigonometric Function Methods
In attempting to mathematically create traveling wave solutions to the (2+1)-dimensional integro-differential Jaulent–Miodek equation, the extended...
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Optimal methods for convex nested stochastic composite optimization
Recently, convex nested stochastic composite optimization (NSCO) has received considerable interest for its applications in reinforcement learning...
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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,...
