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Physical solutions of the Hamilton-Jacobi equation
We consider a Lagrangian system on the d-dimensional torus, and the associated Hamilton-Jacobi equation. Assuming that the Aubry set of the system consists in a finite number of hyperbolic periodic…
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Viscosity Limit of Stationary Distributions for the Random Forced Burgers Equation
We prove convergence of stationary distributions for the randomly forced Burgers and Hamilton–Jacobi equations in the limit when viscosity tends to zero. It turns out that for all values of the…
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Computation of the relaxation effective moduli for fibrous viscoelastic composites using the asymptotic homogenization method
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On the convergence of stable phase transitions
We consider the local behavior of critical points of the functional as e 0. Here, W is a double-well potential and U is a regular domain in ℝn, n ≥ 2. Assuming that {ue}e>0 is stable…
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Higher Energy Solutions in the Theory of Phase Transitions: A Variational Approach
Abstract We establish the existence of a higher-energy solution to the vector Ginzburg–Landau equation with a triple-well potential on a bounded and smooth domain on the plane. This solution is…
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Modelling approach for crafting environmental regulations under deep uncertainty: Whale watching in Ojo de liebre, Mexico
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Identification and Evolution of Musical Style I: Hierarchical Transition Networks and Their Modular Structure
TLDR
This paper proposes a methodology related to the transition network approach developed by D. Cope that allows for the possibility of defining stylistic cells at different scales as motifs and moduli of networks at the corresponding scale and how this methodology can be applied to study recursivity aspects of music.
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The Principal Eigenvalue and Maximum Principle for Second Order Elliptic Operators on Riemannian Manifolds
Abstract In this paper the work of Berestycki, Nirenberg and Varadhan on the maximum principle and the principal eigenvalue for second order operators on general domains is extended to Riemannian…
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Portfolio Credit Risk and Macroeconomic Shocks: Applications to Stress Testing Under Data-Restricted Environments
Portfolio credit risk measurement is greatly affected by data constraints, especially when focusing on loans given to unlisted firms. Standard methodologies adopt convenient, but not necessarily…
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Extending Friedmann Equations Using Fractional Derivatives Using a Last Step Modification Technique: The Case of a Matter Dominated Accelerated Expanding Universe
TLDR
The fits of the unknown fractional derivative order and the fractional cosmographic parameters to SN Ia data shows that this simple construction can explain the current accelerated expansion of the Universe without the use of a dark energy component using Milgrom's acceleration constant.
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