Results 91 to 100 of about 420,318 (376)
The cost of controlling degenerate parabolic equations by boundary controls [PDF]
, 2015 We consider the one-dimensional degenerate parabolic equation $$ u_t - (x^\alpha u_x)_x =0 \qquad x\in(0,1),\ t \in (0,T) ,$$ controlled by a boundary force acting at the degeneracy point $x=0$. First we study the reachable targets at some given time $T$
P. Cannarsa +2 more
semanticscholar +1 more source
Uniform-in-time convergence of numerical methods for non-linear degenerate parabolic equations [PDF]
Numerische Mathematik, 2014 Gradient schemes is a framework that enables the unified convergence analysis of many numerical methods for elliptic and parabolic partial differential equations: conforming and non-conforming finite element, mixed finite element and finite volume ...
J. Droniou, R. Eymard
semanticscholar +1 more source
Increasing powers in a degenerate parabolic logistic equation [PDF]
Chinese Annals of Mathematics, Series B, 2013 15 ...
José Francisco Rodrigues, Hugo Tavares
openaire +4 more sources
Stopping a Multilayered Co‐Axial Flow in a 3D Printed Microchannel with Cascaded Nozzles
Advanced Materials Technologies, EarlyView.A microfluidic device with cascaded nozzles is 3D‐printed using two‐photon polymerization. Its microchannel, featuring integrated nozzles, sculpts multilayered co‐axial flows, enabling independent regulation of four co‐flowing streams to achieve variable layer thicknesses.
Helen Werner +7 more
wiley +1 more source
On a nonlocal degenerate parabolic problem [PDF]
, 2014 Conditions for the existence and uniqueness of weak solutions for a class of nonlinear nonlocal degenerate parabolic equations are established. The asymptotic behaviour of the solutions as time tends to infinity are also studied.
Almeida, Rui M. P. +2 more
core +1 more source
Some Free Boundary Problems involving Nonlocal Diffusion and Aggregation
, 2015 We report on recent progress in the study of evolution processes involving degenerate parabolic equations what may exhibit free boundaries. The equations we have selected follow to recent trends in diffusion theory: considering anomalous diffusion with ...
Carrillo, Jose Antonio +1 more
core +2 more sources
Advanced Optical Materials, Volume 13, Issue 8, March 13, 2025.The tripodal terpyridine‐1,3,5‐benzene tricarboxamide (BTA) ligand 1 is employed in the self‐assembly formation of novel luminescent materials using a range of lanthanide ions. In the polar protic solution, the results from the photophysical measurements are assessed using nonlinear regression analysis, while the functional material properties of the ...
Jason M. Delente +6 more
wiley +1 more source
$L^p$-parabolic regularity and non-degenerate Ornstein-Uhlenbeck type operators
, 2014 We prove $L^p$-parabolic a-priori estimates for $\partial_t u + \sum_{i,j=1}^d c_{ij}(t)\partial_{x_i x_j}^2 u = f $ on $R^{d+1}$ when the coefficients $c_{ij}$ are locally bounded functions on $R$.
Priola, Enrico
core +1 more source
Relaxation approximations and bounded variation estimates for some partial differential equations
Electronic Journal of Differential Equations, 2002 In this paper, we introduce a new technique for studying solutions of bounded variation for some conservation laws of first order partial differential equations and for some degenerate parabolic equations in multi-dimensional space.
Francisco Caicedo +2 more
doaj
Cauchy-Dirichlet problem for the nonlinear degenerate parabolic equations
Abstract and Applied Analysis, 2005 We will investigate the nonexistence of positive solutions for the following nonlinear parabolic partial differential equation: ∂u/∂t=ℒu+V(w)up−1 in Ω×(0,T ...
Ismail Kombe
doaj +1 more source