Results 41 to 50 of about 6,660 (232)
Weak KAM for commuting Hamiltonians [PDF]
, 2010 For two commuting Tonelli Hamiltonians, we recover the commutation of the Lax-Oleinik semi-groups, a result of Barles and Tourin ([BT01]), using a direct geometrical method (Stoke's theorem).
Arnol′d V I +14 more
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Hessian equations of Krylov type on compact Hermitian manifolds
Open Mathematics, 2022 In this article, we are concerned with the equations of Krylov type on compact Hermitian manifolds, which are in the form of the linear combinations of the elementary symmetric functions of a Hermitian matrix.
Zhou Jundong, Chu Yawei
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On the energy dissipation rate of solutions to the compressible isentropic Euler system [PDF]
, 2013 In this paper we extend and complement some recent results by Chiodaroli, De Lellis and Kreml on the well-posedness issue for weak solutions of the compressible isentropic Euler system in $2$ space dimensions with pressure law $p(\rho)=\rho^\gamma ...
Chiodaroli, Elisabetta, Kreml, Ondřej
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Electronic Journal of Qualitative Theory of Differential Equations, 2018 One of the important concept in population dynamics is finding conditions under which the population can coexist. Mathematically formulation of this problem we call permanence or uniform persistence.
Joanna Balbus
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Non-uniqueness and h-principle for H\"older-continuous weak solutions of the Euler equations
, 2017 In this paper we address the Cauchy problem for the incompressible Euler equations in the periodic setting. Based on estimates developed in [Buckmaster-De Lellis-Isett-Sz\'ekelyhidi], we prove that the set of H\"older $1\slash 5-\eps$ wild initial data ...
Daneri, Sara, Székelyhidi Jr, László
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The vanishing discount problem and viscosity Mather measures. Part 2: boundary value problems [PDF]
, 2016 In arXiv:1603.01051 (Part 1 of this series), we have introduced a variational approach to studying the vanishing discount problem for fully nonlinear, degenerate elliptic, partial differential equations in a torus.
Ishii, Hitoshi +2 more
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Sign-changing and multiple solutions for the p-Laplacian
Abstract and Applied Analysis, 2002 We obtain a positive solution, a negative solution, and a sign-changing solution for a class of p-Laplacian problems with jumping nonlinearities using variational and super-subsolution methods.
Siegfried Carl, Kanishka Perera
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A rigorous setting for the reinitialization of first order level set equations [PDF]
, 2015 In this paper we set up a rigorous justification for the reinitialization algorithm. Using the theory of viscosity solutions, we propose a well-posed Hamilton-Jacobi equation with a parameter, which is derived from homogenization for a Hamiltonian ...
Hamamuki, Nao, Ntovoris, Eleftherios
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Splitting for Rare Event Simulation: A Large Deviation Approach to Design and Analysis [PDF]
, 2007 Particle splitting methods are considered for the estimation of rare events. The probability of interest is that a Markov process first enters a set $B$ before another set $A$, and it is assumed that this probability satisfies a large deviation scaling ...
Dean, Thomas, Dupuis, Paul
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An overview of some recent results on the Euler system of isentropic gas dynamics
, 2015 In this overview we discuss some recent results of non--uniqueness for the isentropic Euler equations of gas dynamics with particular attention to the role of some admissibility criteria proposed in the literature.Comment: 10 pages.
Chiodaroli, Elisabetta, Kreml, Ondrej
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