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Physical solutions of the Hamilton-Jacobi equation

- N. Anantharaman, R. Iturriaga, P. Padilla, H. Sánchez-Morgado
- Mathematics
- 1 May 2005

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… Expand

Viscosity Limit of Stationary Distributions for the Random Forced Burgers Equation

- D. Gomes, R. Iturriaga, K. Khanin, P. Padilla
- Mathematics
- 2005

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… Expand

Computation of the relaxation effective moduli for fibrous viscoelastic composites using the asymptotic homogenization method

- R. Rodríguez-Ramos, J. Otero,
+6 authors I. Sevostianov - Engineering, Mathematics
- 1 May 2020

On the convergence of stable phase transitions

- P. Padilla, Y. Tonegawa
- Mathematics
- 1 June 1998

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… Expand

Higher Energy Solutions in the Theory of Phase Transitions: A Variational Approach

- G. Flores, P. Padilla, Y. Tonegawa
- Mathematics
- 2001

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… Expand

Modelling approach for crafting environmental regulations under deep uncertainty: Whale watching in Ojo de liebre, Mexico

- Emilio Rodríguez-Izquierdo, Y. Miquelajauregui, P. Padilla, L. Bojórquez-Tapia
- Environmental ScienceEcological Modelling
- 15 September 2019

Identification and Evolution of Musical Style I: Hierarchical Transition Networks and Their Modular Structure

- P. Padilla, F. Knights, A. T. Ruiz, Dan Tidhar
- Computer ScienceMCM
- 26 June 2017

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The Principal Eigenvalue and Maximum Principle for Second Order Elliptic Operators on Riemannian Manifolds

- P. Padilla
- Mathematics
- 15 January 1997

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… Expand

Portfolio Credit Risk and Macroeconomic Shocks: Applications to Stress Testing Under Data-Restricted Environments

- Miguel A. Segoviano Basurto, P. Padilla
- EconomicsSSRN Electronic Journal
- 1 January 2007

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… Expand

Extending Friedmann Equations Using Fractional Derivatives Using a Last Step Modification Technique: The Case of a Matter Dominated Accelerated Expanding Universe

- E. Barrientos, S. Mendoza, P. Padilla
- PhysicsSymmetry
- 22 January 2021

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