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
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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
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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
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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
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A generalization of the Hopf-Cole transformation for stationary Mean Field Games systems [PDF]
, 2015 In this note we propose a transformation which decouples stationary Mean Field Games systems with superlinear Hamiltonians of the form |p|^r, and turns the Hamilton-Jacobi-Bellman equation into a quasi-linear equation involving the r-Laplace operator ...
Cirant, Marco
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Existence and stability of multiple spot solutions for the gray-scott model in R^2 [PDF]
, 2005 We study the Gray-Scott model in a bounded two dimensional domain and establish the existence and stability of {\bf symmetric} and {\bf asymmetric} multiple spotty patterns. The Green's function and its derivatives together with two nonlocal eigenvalue
Wei, J, Winter, M
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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
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On two-dimensional nonlocal Venttsel' problems in piecewise smooth domains [PDF]
, 2019 We establish the regularity results for solutions of nonlocal Venttsel' problems in polygonal and piecewise smooth two-dimensional ...
Creo, Simone +3 more
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The Weak Galerkin Method for Elliptic Eigenvalue Problems
Communications in Computational Physics, 2019 This article is devoted to studying the application of the weak Galerkin (WG) finite element method to the elliptic eigenvalue problem with an emphasis on obtaining lower bounds.
Q. Zhai
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A note on a strongly damped wave equation with fast growing nonlinearities [PDF]
, 2014 A strongly damped wave equation including the displacement depending nonlinear damping term and nonlinear interaction function is considered. The main aim of the note is to show that under the standard dissipativity restrictions on the nonlinearities ...
Kalantarov, Varga, Zelik, Sergey
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