Results 1 to 10 of about 145,745 (278)
Stochastic models associated to a Nonlocal Porous Medium Equation [PDF]
Modern Stochastics: Theory and Applications, 2018 The nonlocal porous medium equation considered in this paper is a degenerate nonlinear evolution equation involving a space pseudo-differential operator of fractional order.
Alessandro De Gregorio
doaj +4 more sources
Singularly perturbed hyperbolic problems on metric graphs: asymptotics of solutions
Open Mathematics, 2017 We are interested in the evolution phenomena on star-like networks composed of several branches which vary considerably in physical properties. The initial boundary value problem for singularly perturbed hyperbolic differential equation on a metric graph
Golovaty Yuriy, Flyud Volodymyr
doaj +3 more sources
Influence of a nonlinear degenerate diffusion on an advection-diffusion equation in a diffuse interface framework* [PDF]
ESAIM: Proceedings and Surveys, 2023 This work is motivated by the modelling a liquid-vapour flows with phase transition describing the evolution of the coolant within an heat exchanger (e.g. the core of a Pressurized Water Reactor).
Faccanoni Gloria, Galusinski Cédric
doaj +1 more source
L ∞ $L^{\infty }$ decay estimates of solutions of nonlinear parabolic equation
Boundary Value Problems, 2021 In this paper, we are interested in L ∞ $L^{\infty }$ decay estimates of weak solutions for the doubly nonlinear parabolic equation and the degenerate evolution m-Laplacian equation not in the divergence form. By a modified Moser’s technique we obtain L ∞
Hui Wang, Caisheng Chen
doaj +1 more source
Results in Physics, 2022 An enthalpy function Hj∝1+ηj2is deduced from the density of states for degenerate relativistic charged particulate. Here ηj=pj/mjc2stands for the relativistic factor, pjmjis the Fermi momentum (mass) for the jth degenerate relativistic species and c ...
Muhammad Irfan +4 more
doaj +1 more source
Известия Иркутского государственного университета: Серия "Математика", 2021 An initial value problem is studied for a class of evolutionary equations with a weak degeneration, which are nonlinear with respect to lower order fractional Gerasimov – Caputo derivatives.
G.D. Baybulatova, M.V. Plekhanova
doaj +1 more source
A regularized gradient flow for the p-elastic energy
Advances in Nonlinear Analysis, 2022 We prove long-time existence for the negative L2{L}^{2}-gradient flow of the p-elastic energy, p≥2p\ge 2, with an additive positive multiple of the length of the curve.
Blatt Simon +2 more
doaj +1 more source
Frontiers in Physics, 2021 Solitons are coherent structures that describe the nonlinear evolution of wave localizations in hydrodynamics, optics, plasma and Bose-Einstein condensates.
Amin Chabchoub +12 more
doaj +1 more source
DEGENERATE DISTRIBUTED CONTROL SYSTEMS WITH FRACTIONAL TIME DERIVATIVE
Ural Mathematical Journal, 2016 The existence of a unique strong solution for the Cauchy problem to semilinear nondegenerate fractional differential equation and for the generalized Showalter–Sidorov problem to semilinear fractional differential equation with degenerate operator at the
Marina V. Plekhanova
doaj +1 more source
A degenerating PDE system for phase transitions and damage [PDF]
, 2013 In this paper, we analyze a PDE system arising in the modeling of phase transition and damage phenomena in thermoviscoelastic materials. The resulting evolution equations in the unknowns \theta (absolute temperature), u (displacement), and \chi (phase ...
Rocca, Elisabetta, Rossi, Riccarda
core +1 more source