Convergence rate for the incompressible limit of nonlinear diffusion–advection equations [PDF]
Annales de l'Institut Henri Poincare. Analyse non linéar, 2021 The incompressible limit of nonlinear diffusion equations of porous medium type has attracted a lot of attention in recent years, due to its ability to link the weak formulation of cell-population models to free boundary problems of Hele-Shaw type ...
Noemi David, Tomasz Dkebiec, B. Perthame
semanticscholar +1 more source
Half-space Gaussian symmetrization: applications to semilinear elliptic problems
Advances in Nonlinear Analysis, 2021 We consider a class of semilinear equations with an absorption nonlinear zero order term of power type, where elliptic condition is given in terms of Gauss measure.
Díaz J. I., Feo F., Posteraro M. R.
doaj +1 more source
Logistic damping effect in chemotaxis models with density-suppressed motility
Advances in Nonlinear Analysis, 2022 This paper is concerned with a parabolic-elliptic chemotaxis model with density-suppressed motility and general logistic source in an n-dimensional smooth bounded domain with Neumann boundary conditions.
Lyu Wenbin, Wang Zhi-An
doaj +1 more source
Lp-estimates for a transmission problem of mixed elliptic-parabolic type [PDF]
Boundary Value Problems, 2013 We consider the situation when an elliptic problem in a subdomain Ω1 of an n-dimensional bounded domain Ω is coupled via inhomogeneous canonical transmission conditions to a parabolic problem in Ω∖Ω1.
R. Denk, Tim Seger
semanticscholar +2 more sources
Advances in Nonlinear Analysis, 2021 We give a new non-smooth Clark’s theorem without the global symmetric condition. The theorem can be applied to generalized quasi-linear elliptic equations with small continous perturbations.
Huang Chen
doaj +1 more source
A sharp global estimate and an overdetermined problem for Monge-Ampère type equations
Advanced Nonlinear Studies, 2022 We consider Monge-Ampère type equations involving the gradient that are elliptic in the framework of convex functions. Through suitable symmetrization we find sharp estimates to solutions of such equations.
Mohammed Ahmed, Porru Giovanni
doaj +1 more source
Effective Boundary Conditions for the Heat Equation with Interior Inclusion
, 2020 Of concern is the scenario of a heat equation on a domain that contains a thin layer, on which the thermal conductivity is drastically different from that in the bulk.
Huicong Wang
semanticscholar +1 more source
On the Cauchy problem for microlocally symmetrizable hyperbolic systems with log-Lipschitz coefficients [PDF]
Indiana University Mathematics Journal, 2016 The present paper concerns the well-posedness of the Cauchy problem for microlocally symmetrizable hyperbolic systems whose coefficients and symmetrizer are log-Lipschitz continuous, uniformly in time and space variables.
F. Colombini +3 more
semanticscholar +1 more source
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
doaj +1 more source
Blow-up criterion for 3D compressible viscous magneto-micropolar fluids with initial vacuum
Boundary Value Problems, 2013 In this paper, the author establishes a blow-up criterion of strong solutions to 3D compressible viscous magneto-micropolar fluids. It is shown that if the density and the velocity satisfy ∥ρ∥L∞(0,T;L∞)+∥u∥Ls(0,T;Lr)
Peixin Zhang
semanticscholar +2 more sources