Weighted Energy-Dissipation approach to doubly nonlinear problems on the half line

Autor: Goro Akagi, Ulisse Stefanelli, Stefano Melchionna

Publikováno v: Journal of evolution equations (Print. ed.) 18 (2018): 49–74. doi:10.1007/s00028-017-0390-6
info:cnr-pdr/source/autori:G. Akagi, S. Melchionna, and U. Stefanelli/titolo:Weighted energy-dissipation approach to doubly nonlinear problems on the half line/doi:10.1007%2Fs00028-017-0390-6/rivista:Journal of evolution equations (Print. ed.)/anno:2018/pagina_da:49/pagina_a:74/intervallo_pagine:49–74/volume:18
J. evol. equ. 18, 49–74 (2018)

We discuss a variational approach to abstract doubly nonlinear evolution systems defined on the time half line (Formula presented.). This relies on the minimization of weighted energy-dissipation (WED) functionals, namely a family of (Formula present

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https://doi.org/10.1007/s00028-017-0390-6

Porous medium equation with a blow-up nonlinearity and a non-decreasing constraint

Autor: Goro Akagi, Stefano Melchionna

Publikováno v: Non. diff. equat. app. 26:10 (2019)

The final goal of this paper is to prove existence of local (strong) solutions to a (fully nonlinear) porous medium equation with blow-up term and nondecreasing constraint. To this end, the equation, arising in the context of Damage Mechanics, is ref

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::98850a9cb030be0b77a01b13a5091636
http://arxiv.org/abs/1802.09570

The weighted energy-dissipation principle and evolutionary Γ-convergence for doubly nonlinear problems

Autor: Matthias Liero, Stefano Melchionna

We consider a family of doubly nonlinear evolution equations that is given by families of convex dissipation potentials, nonconvex energy functionals, and external forces parametrized by a small parameter ε. For each of these problems, we introduce

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9311f6466dc9e3162837e4b093498972

A variational approach to symmetry, monotonicity, and comparison for doubly-nonlinear equations

Autor: Stefano Melchionna

We advance a variational method to prove qualitative properties such as symmetries, monotonicity, upper and lower bounds, sign properties, and comparison principles for a large class of doubly-nonlinear evolutionary problems including gradient flows,

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::879d426fbb2b41d692cd877c4b47a0bb