Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift
B Fehrman, B Gess - Inventiones mathematicae, 2023 - Springer
Large deviations of conservative interacting particle systems, such as the zero range
process, about their hydrodynamic limit and their respective rate functions lead to the …
process, about their hydrodynamic limit and their respective rate functions lead to the …
Hydrodynamic large deviations of TASEP
We consider the large deviations from the hydrodynamic limit of the Totally Asymmetric
Simple Exclusion Process (TASEP). This problem was studied by Jensen and Varadhan and …
Simple Exclusion Process (TASEP). This problem was studied by Jensen and Varadhan and …
Rigidity of a non-elliptic differential inclusion related to the Aviles–Giga conjecture
In this paper we prove sharp regularity for a differential inclusion into a set K ⊂ R^ 2 * 2 K⊂
R 2× 2 that arises in connection with the Aviles–Giga functional. The set K is not elliptic, and …
R 2× 2 that arises in connection with the Aviles–Giga functional. The set K is not elliptic, and …
Optimal Besov differentiability for entropy solutions of the eikonal equation
F Ghiraldin, X Lamy - Communications on Pure and Applied …, 2020 - Wiley Online Library
Optimal Besov Differentiability for Entropy Solutions of the Eikonal Equation Page 1 Optimal
Besov Differentiability for Entropy Solutions of the Eikonal Equation FRANCESCO GHIRALDIN …
Besov Differentiability for Entropy Solutions of the Eikonal Equation FRANCESCO GHIRALDIN …
[HTML][HTML] The rectifiability of the entropy defect measure for Burgers equation
E Marconi - Journal of Functional Analysis, 2022 - Elsevier
We consider bounded weak solutions to the Burgers equation for which every entropy
dissipation is representable by a measure and we prove that all these measures are …
dissipation is representable by a measure and we prove that all these measures are …
On the structure of weak solutions to scalar conservation laws with finite entropy production
E Marconi - Calculus of Variations and Partial Differential …, 2022 - Springer
We consider weak solutions with finite entropy production to the scalar conservation law ∂
_t u+ div _x F (u)= 0\quad in (0, T) * R^ d.∂ tu+ div x F (u)= 0 in (0, T)× R d. Building on the …
_t u+ div _x F (u)= 0\quad in (0, T) * R^ d.∂ tu+ div x F (u)= 0 in (0, T)× R d. Building on the …
Factorization for entropy production of the Eikonal equation and regularity
The Eikonal equation arises naturally in the limit of the second order Aviles-Giga functional
whose $\Gamma $-convergence is a long standing challenging problem. The theory of …
whose $\Gamma $-convergence is a long standing challenging problem. The theory of …
Non-equilibrium large deviations and parabolic-hyperbolic PDE with irregular drift
B Fehrman, B Gess - arXiv preprint arXiv:1910.11860, 2019 - arxiv.org
Large deviations of conservative interacting particle systems, such as the zero range
process, about their hydrodynamic limit and their respective rate functions lead to the …
process, about their hydrodynamic limit and their respective rate functions lead to the …
On the concentration of entropy for scalar conservation laws
S Bianchini, E Marconi - DISCRETE AND CONTINUOUS DYNAMICAL …, 2016 - iris.sissa.it
We prove that the entropy for an $ L^\infty $-solution to a scalar conservation laws with
continuous initial data is concentrated on a countably $1 $-rectifiable set. To prove this result …
continuous initial data is concentrated on a countably $1 $-rectifiable set. To prove this result …
On the regularity of weak solutions to Burgers' equation with finite entropy production
X Lamy, F Otto - Calculus of Variations and Partial Differential …, 2018 - Springer
Bounded weak solutions of Burgers' equation ∂ _tu+ ∂ _x (u^ 2/2)= 0∂ tu+∂ x (u 2/2)= 0
that are not entropy solutions need in general not be BV. Nevertheless it is known that …
that are not entropy solutions need in general not be BV. Nevertheless it is known that …