Results 11 to 20 of about 302 (59)
Maximum principles for parabolic systems coupled in both first‐order and zero‐order terms
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 4, Page 813-816, 1994., 1993 Some generalized maximum principles are established for linear second‐order parabolic systems in which both first‐order and zero‐order terms are coupled.
Chiping Zhou
wiley +1 more source
Unstable periodic wave solutions of Nerve Axion diffusion equations
International Journal of Mathematics and Mathematical Sciences, Volume 10, Issue 4, Page 787-796, 1987., 1987 Unstable periodic solutions of systems of parabolic equations are studied. Special attention is given to the existence and stability of solutions.
Rina Ling
wiley +1 more source
Local pinching estimates in 3-dim Ricci flow
, 2013 We study curvature pinching estimates of Ricci flow on complete 3- dimensional manifolds without bounded curvature assumption. We will derive some general curvature conditions which are preserved on any complete solution of 3-dim Ricci flow, these ...
Chen, Bing-Long +2 more
core +1 more source
Global analytic expansion of solution for a class of linear parabolic systems with coupling of first order derivatives terms [PDF]
, 2009 We derive global analytic representations of fundamental solutions for a class of linear parabolic systems with full coupling of first order derivative terms where coefficient may depend on space and time.
Kampen, Joerg
core +2 more sources
A Note on Doubly Nonlinear Parabolic Systems with Unilateral Constraint
, 2011 We prove the existence and uniqueness of the solution to the doubly nonlinear parabolic systems with mixed boundary conditions. Due to the unilateral constraint the problem comes as a variational inequality.
Beneš, Michal
core +1 more source
On an application of Tikhonov's fixed point theorem to a nonlocal Cahn-Hilliard type system modeling phase separation [PDF]
, 2015 This paper investigates a nonlocal version of a model for phase separation on an atomic lattice that was introduced by P. Podio-Guidugli in Ric. Mat. 55 (2006) 105-118.
Colli, Pierluigi +2 more
core +3 more sources
, 2007 Auscher, McIntosh and Tchamitchian studied the heat kernels of second order elliptic operators in divergence form with complex bounded measurable coefficients on $\mathbb{R}^n$.
Kim, Seick
core +2 more sources
Asymptotic thermal quark masses and the entropy of QCD in the large-N_f limit [PDF]
, 2005 We study the thermodynamics of QCD in the limit of large flavor number (N_f) and test the proposal to resum the physics of hard thermal loops (HTL) through a nonperturbative expression for the entropy obtained from a Phi-derivable two-loop approximation.
A. Rebhan +7 more
core +3 more sources
System of degenerate parabolic p-Laplacian
Open MathematicsIn this article, we study the mathematical properties of the solution u=(u1,…,uk){\bf{u}}=({u}^{1},\ldots ,{u}^{k}) to the degenerate parabolic system ut=∇⋅(∣∇u∣p−2∇u),(p>2).{{\bf{u}}}_{t}=\nabla \hspace{0.25em}\cdot \hspace{0.25em}({| \nabla {\bf{u}}| }^
Kim Sunghoon, Lee Ki-Ahm
doaj +1 more source
Bistable wave speed of a diffusive three-species Lotka-Volterra competition model
Journal of Biological DynamicsIn this paper, we investigate the propagation speed of bistable traveling waves in a diffusive three-species Lotka-Volterra competition model. By constructing a novel pair of upper and lower solutions, we derive sufficient conditions that determine ...
Jia Guo, Binxiang Dai
doaj +1 more source