Results 21 to 30 of about 300 (58)
Demonstratio MathematicaThe aim of this work is to study the global existence in time of solutions for the tridiagonal system of reaction-diffusion by order mm. Our techniques of proof are based on compact semigroup methods and some L1{L}^{1}-estimates.
Barrouk Nabila, Abdelmalek Karima
doaj +1 more source
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
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Gradient bounds for nonlinear degenerate parabolic equations and application to large time behavior of systems [PDF]
, 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
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The A-Stokes approximation for non-stationary problems
, 2016 Let $\mathcal A$ be an elliptic tensor. A function $v\in L^1(I;LD_{div}(B))$ is a solution to the non-stationary $\mathcal A $-Stokes problem iff \begin{align}\label{abs} \int_Q v\cdot\partial_t\phi\,dx\,dt-\int_Q \mathcal A(\varepsilon(v),\varepsilon ...
Breit, Dominic
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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
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Influence of the geometry on a field-road model : the case of a conical field
, 2017 Field-road models are reaction-diffusion systems which have been recently introduced to account for the effect of a road on propagation phenomena arising in epidemiology and ecology.
Horton, Tammy, Peña Cantero, Álvaro L.
core +2 more sources
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
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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
High-friction limits of Euler flows for multicomponent systems
, 2018 The high-friction limit in Euler-Korteweg equations for fluid mixtures is analyzed. The convergence of the solutions towards the zeroth-order limiting system and the first-order correction is shown, assuming suitable uniform bounds.
Ansgar Jüngel +6 more
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Motion of a droplet for the mass-conserving stochastic Allen-Cahn equation [PDF]
, 2015 We study the stochastic mass-conserving Allen-Cahn equation posed on a bounded two-dimensional domain with additive spatially smooth space-time noise.
Antonopoulou, Dimitra C. +3 more
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