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- Max Planck Institute for Mathematics in the SciencesDE300 papers
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- Capital Normal UniversityCN158 papers
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- China University of Petroleum, East ChinaCN17 papers
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- Centre National de la Recherche ScientifiqueFR15 papers
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6 papers · 2 filters
Eyring--Kramers law for the hyperbolic model
Nikolay Barashkov, Petri Laarne
We study the expected transition frequency between the two metastable states of a stochastic wave equation with double-well potential. By transition state theory, the frequency fac…
Contact discontinuities for 2-D isentropic Euler are unique in 1-D but wildly non-unique otherwise
Sam G. Krupa, László Székelyhidi
We develop a general framework for studying non-uniqueness of the Riemann problem for the isentropic compressible Euler system in two spatial dimensions, and in this paper we prese…
An alternative approach to Shnirelman's inequality
Martina Zizza
In this paper we examine the discrete Shnirelman's inequality [Shnirelman A., 1985], which relates the -distance of two discrete configurations of a fluid to the -…
Geometric interpretation of the vanishing Lie Bracket for two-dimensional rough vector fields
Annalaura Rebucci, Martina Zizza
In this paper, we prove that if are continuous, Sobolev vector fields with bounded divergence on the real plane and , then their flows commute. In particular, we imp…
A proof of Vishik's nonuniqueness Theorem for the forced 2D Euler equation
Ángel Castro, Daniel Faraco, Francisco Mengual +1
We give a simpler proof of Vishik's nonuniqueness Theorem for the forced 2D Euler equation in the vorticity class with . The main simplification is an alt…
Finite time BV blowup for Liu-admissible solutions to -system via computer-assisted proof
Sam G. Krupa
In this paper, we consider finite time blowup of the -norm for exact solutions to genuinely nonlinear hyperbolic systems in one space dimension, in particular the -system. W…