Results 61 to 70 of about 51,428 (221)
Fire and Materials, EarlyView.ABSTRACT This article examines a transient, one‐dimensional model of surface regression during opposed flow flame spread over finite thickness, non‐charring thermoplastics. Gas to solid conductive transfer from the flame drives sample heating. The solid degrades into volatile fuel molecules in two stages: (1) the pre‐vaporization heat‐up stage and (2 ...
Indrek S. Wichman +4 more
wiley +1 more source
, 2015 The fringe of a B-tree with parameter $m$ is considered as a particular P\'olya urn with $m$ colors. More precisely, the asymptotic behaviour of this fringe, when the number of stored keys tends to infinity, is studied through the composition vector of ...
Chauvin, Brigitte +3 more
core +2 more sources
Estimates and uniqueness for boundary blow-up solutions of p-Laplace equations
Electronic Journal of Differential Equations, 2011 We investigate boundary blow-up solutions of the p-Laplace equation $Delta_p u=f(u)$, $p>1$, in a bounded smooth domain $Omegasubset R^N$. Under appropriate conditions on the growth of $f(t)$ as $t$ approaches infinity, we find an estimate of the ...
Monica Marras, Giovanni Porru
doaj
Математичні СтудіїWe consider approach based on the integral representation of solutions in domain which consists of bounded and unbounded parts that gives us opportunity to reduce different transmission type problems to connected with them equivalent boundary equations ...
Yu. M. Sybil
doaj +1 more source
Eigenvalue asymptotic of Robin Laplace operators on two-dimensional domains with cusps
, 2010 We consider Robin Laplace operators on a class of two-dimensional domains with cusps. Our main results include the formula for the asymptotic distribution of the eigenvalues of such operators.
Kovarik, Hynek
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Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
wiley +1 more source
Approach to self-similarity in Smoluchowski's coagulation equations [PDF]
, 2003 We consider the approach to self-similarity (or dynamical scaling) in Smoluchowski's equations of coagulation for the solvable kernels $K(x,y)=2$, $x+y$ and $xy$.
Govind Menon +3 more
core +1 more source
Relaxation patterns and semi-Markov dynamics
, 2018 Exponential relaxation to equilibrium is a typical property of physical systems, but inhomogeneities are known to distort the exponential relaxation curve, leading to a wide variety of relaxation patterns.
Meerschaert, Mark M., Toaldo, Bruno
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Duality for Evolutionary Equations With Applications to Null Controllability
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We study evolutionary equations in exponentially weighted L2$$ {\mathrm{L}}^2 $$‐spaces as introduced by Picard in 2009. First, for a given evolutionary equation, we explicitly describe the ν$$ \nu $$‐adjoint system, which turns out to describe a system backwards in time. We prove well‐posedness for the ν$$ \nu $$‐adjoint system. We then apply
Andreas Buchinger, Christian Seifert
wiley +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti +2 more
wiley +1 more source