Results 21 to 30 of about 269 (37)
Influence of a road on a population in an ecological niche facing climate change [PDF]
, 2019 We introduce a model designed to account for the influence of a line with fast diffusion-such as a road or another transport network-on the dynamics of a population in an ecological niche.
Berestycki, Henri +2 more
core +3 more sources
A gradient flow approach to a thin film approximation of the Muskat problem [PDF]
, 2011 A fully coupled system of two second-order parabolic degenerate equations arising as a thin film approximation to the Muskat problem is interpreted as a gradient flow for the 2-Wasserstein distance in the space of probability measures with finite second ...
Laurencot, Philippe +1 more
core +5 more sources
Blow-up of weak solutions to a chemotaxis system under influence of an external chemoattractant
, 2015 We study nonnnegative radially symmetric solutions of the parabolic-elliptic Keller-Segel whole space system \begin{align*} \left\{\begin{array}{c@{\,}l@{\quad}l@{\,}c} u_{t}&=\Delta u-\nabla\!\cdot(u\nabla v),\ &x\in\mathbb{R}^n,& t>0,\\ 0 &=\Delta v+u ...
Black, Tobias
core +1 more source
Finite time blowup for parabolic systems in two dimensions
, 2016 We construct examples of finite time singularity from smooth data for linear uniformly parabolic systems in the plane. We obtain similar examples for quasilinear systems with coefficients that depend only on the solution.Comment: 16 ...
Mooney, Connor
core +1 more source
Green's functions for parabolic systems of second order in time-varying domains
, 2010 We construct Green's functions for divergence form, second order parabolic systems in non-smooth time-varying domains whose boundaries are locally represented as graph of functions that are Lipschitz continuous in the spatial variables and 1/2-H\"older ...
D. G. Aronson +31 more
core +1 more source
Higher integrability for doubly nonlinear parabolic systems
, 2018 This paper proves a local higher integrability result for the spatial gradient of weak solutions to doubly nonlinear parabolic systems. The new feature of the argument is that the intrinsic geometry involves the solution as well as its spatial gradient ...
Bögelein, Verena +3 more
core +1 more source
Partial regularity for parabolic systems with VMO-coefficients [PDF]
, 2013 We establish partial regularity for vector-valued solutions to parabolic systems where the coefficients are possibly discontinuous with respect to (x,t). More precisely, we assume a VMO-condition with respect to the (x,t) and continuity with respect to u
Kanazawa, Taku
core
, 2015 We obtain new oscillation and gradient bounds for the viscosity solutions of fully nonlinear degenerate elliptic equations where the Hamiltonian is a sum of a sublinear and a superlinear part in the sense of Barles and Souganidis (2001).
Ley, Olivier, Nguyen, Vinh Duc
core +2 more sources
A diffusion problem with gradient constraint depending on the temperature [PDF]
, 2010 We consider a system of a variational inequality with gradient constraint depending on the temperature, coupled with the heat equation. We prove existence of solution of this system by approximating it by a system of equations and using a fixed point
Azevedo, Assis, Santos, Lisa
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Sturmian Multiple Zeros for Stokes and Navier--Stokes Equations in $\re^3$ via Solenoidal Hermite Polynomials [PDF]
, 2012 Multiple spatial zero formations for Stokes and Navier-Stokes equations in three dimensions are shown to occur according to nodal sets of solenoidal Hermite polynomials.
Galaktionov, V. A.
core