Results 71 to 80 of about 419,875 (391)
Wellposedness and regularity for a degenerate parabolic equation arising in a model of chemotaxis with nonlinear sensitivity [PDF]
, 2012 We study a one-dimensional parabolic PDE with degenerate diffusion and non-Lipschitz nonlinearity involving the derivative. This evolution equation arises when searching radially symmetric solutions of a chemotaxis model of Patlak-Keller-Segel type.
Alexandre Montaru
semanticscholar +1 more source
Flatness for a strongly degenerate 1-D parabolic equation [PDF]
Math. Control. Signals Syst., 2015 We consider the degenerate equation $$\begin{aligned} \partial _t f(t,x) - \partial _x \left( x^{\alpha } \partial _x f \right) (t,x) =0, \end{aligned}$$∂tf(t,x)-∂xxα∂xf(t,x)=0,on the unit interval $$x\in (0,1)$$x∈(0,1), in the strongly degenerate case $$
Iván Moyano
semanticscholar +1 more source
Advanced Engineering Materials, EarlyView.Refractory high‐entropy alloys have attracted substantial attention for future ultrahigh‐temperature structural applications. Here the progression of key phase transformations in AlMo0.5NbTa0.5TiZr is established and correlated to the mechanical performance, highlighting the importance of the B2 phase.
George J. Wise +5 more
wiley +1 more source
Parabolic Nonlinear Second Order Slip Reynolds Equation: Approximation and Existence
Nonlinear Analysis, 2007 This work studies an initial boundary value problem for nonlinear degenerate parabolic equation issued from a lubrication slip model. Existence of solutions is established through a semi discrete scheme approximation combined with some a priori estimates.
K. Ait Hadi
doaj +1 more source
Trace formulae of potentials for degenerate parabolic equations [PDF]
arXiv, 2020 In this paper, we analyze main properties of the volume and layer potentials as well as the Poisson integral for a multi-dimensional degenerate parabolic equation. As consequences, we obtain trace formulae of the heat volume potential and the Poisson integral which solve Kac's problem for degenerate parabolic equations in cylindrical domains.
arxiv
Strong solutions of the thin film equation in spherical geometry
, 2017 We study existence and long-time behaviour of strong solutions for the thin film equation using a priori estimates in a weighted Sobolev space. This equation can be classified as a doubly degenerate fourth-order parabolic and it models coating flow on ...
A Burchard +11 more
core +1 more source
From Nature to Engineering: Mortar Volume and Interfacial Mechanics in Bioinspired Ceramics
Advanced Engineering Materials, EarlyView.Inspired by natural armors like nacre, this study explores how varying the volume fraction of the soft mortar layer impacts the interfacial strength and toughness of bioinspired ceramics. Experimental and computational analysis reveals that higher mortar volumes increase energy dissipation but reduce interfacial stiffness, offering insights for ...
Ehsan Azad +4 more
wiley +1 more source
Advances in Nonlinear Analysis, 2022 This article focuses on the singularity formation of smooth solutions for a one-dimensional nonlinear degenerate hyperbolic-parabolic coupled system originating from the Poiseuille flow of nematic liquid crystals.
Hu Yanbo
doaj +1 more source
Difference schemes for degenerate parabolic equations [PDF]
Mathematics of Computation, 1986 Diagonal dominant implicit-difference schemes approximating a porous media type class of multidimensional nonlinear equations are shown to generate semigroups in an approximate L 1 {L^1} -space, and the rate of convergence to the semigroup solution in L 1
openaire +1 more source
Wetting of Surface Grafted Hydrophilic‐b‐Hydrophobic Block Copolymer Brushes
Advanced Functional Materials, EarlyView.The wetting properties of surface grafted diblock copolymer brushes are influenced by the thickness of the hydrophilic bottom block and the hydrophobic top block. The surface adapts in presence of water and the contact angles of the bottom block shine through. Abstract The wetting of diblock copolymer brushes by water is studied.
Benjamin Leibauer +7 more
wiley +1 more source