All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Previous Page 68 Next

Displaying 1341 – 1360 of 5234

Showing per page

Etude asymptotique de la jonction d'un massif tridimensionnel et d'une tige élancée en flexion.

B. Mampassi (1994)

Revista Matemática de la Universidad Complutense de Madrid

We are very interested with asymptotic problems for the system of elasticity involving small parameters in the description of the domain where the solutions is searched. The corresponding asymptotic expansions have different forms in the various between them. More precisely, our work is concerned with a precise description of the deformation and the stress fields at the junction of an elastic three-dimensional body and a cylinder. The corresponding small parameter is the diameter of the cylinder....

Evolution by the vortex filament equation of curves with a corner

Valeria Banica (2013)

Journées Équations aux dérivées partielles

In this proceedings article we shall survey a series of results on the stability of self-similar solutions of the vortex filament equation. This equation is a geometric flow for curves in ℝ 3 and it is used as a model for the evolution of a vortex filament in fluid mechanics. The main theorem give, under suitable assumptions, the existence and description of solutions generated by curves with a corner, for positive and negative times. Its companion theorem describes the evolution of perturbations...

Evolution equations governed by Lipschitz continuous non-autonomous forms

Ahmed Sani, Hafida Laasri (2015)

Czechoslovak Mathematical Journal

We prove L 2 -maximal regularity of the linear non-autonomous evolutionary Cauchy problem u ˙ ( t ) + A ( t ) u ( t ) = f ( t ) for a.e. t ∈ [ 0 , T ] , u ( 0 ) = u 0 , where the operator A ( t ) arises from a time depending sesquilinear form 𝔞 ( t , · , · ) on a Hilbert space H with constant domain V . We prove the maximal regularity in H when these forms are time Lipschitz continuous. We proceed by approximating the problem using the frozen coefficient method developed by El-Mennaoui, Keyantuo, Laasri (2011), El-Mennaoui, Laasri (2013), and Laasri (2012). As a consequence, we obtain an invariance...

Evolution equations with parameter in the hyperbolic case

Jan Bochenek, Teresa Winiarska (1996)

Annales Polonici Mathematici

The purpose of this paper is to give theorems on continuity and differentiability with respect to (h,t) of the solution of the initial value problem du/dt = A(h,t)u + f(h,t), u(0) = u₀(h) with parameter h ∈ Ω ⊂ ℝ m in the “hyperbolic” case.

Evolution in a migrating population model

Włodzimierz Bąk, Tadeusz Nadzieja (2012)

Applicationes Mathematicae

We consider a model of migrating population occupying a compact domain Ω in the plane. We assume the Malthusian growth of the population at each point x ∈ Ω and that the mobility of individuals depends on x ∈ Ω. The evolution of the probability density u(x,t) that a randomly chosen individual occupies x ∈ Ω at time t is described by the nonlocal linear equation u t = ∫ Ω φ ( y ) u ( y , t ) d y - φ ( x ) u ( x , t ) , where φ(x) is a given function characterizing the mobility of individuals living at x. We show that the asymptotic behaviour of u(x,t)...

Evolution of convex entire graphs by curvature flows

Roberta Alessandroni, Carlo Sinestrari (2015)

Geometric Flows

We consider the evolution of an entire convex graph in euclidean space with speed given by a symmetric function of the principal curvatures. Under suitable assumptions on the speed and on the initial data, we prove that the solution exists for all times and it remains a graph. In addition, after appropriate rescaling, it converges to a homothetically expanding solution of the flow. In this way, we extend to a class of nonlinear speeds the well known results of Ecker and Huisken for the mean curvature...

Evolutionary Games in Space

N. Kronik, Y. Cohen (2009)

Mathematical Modelling of Natural Phenomena

The G-function formalism has been widely used in the context of evolutionary games for identifying evolutionarily stable strategies (ESS). This formalism was developed for and applied to point processes. Here, we examine the G-function formalism in the settings of spatial evolutionary games and strategy dynamics, based on reaction-diffusion models. We start by extending the point process maximum principle to reaction-diffusion models with homogeneous, locally stable surfaces. We then develop...

Evolutionary problems in non-reflexive spaces

Martin Kružík, Johannes Zimmer (2010)

ESAIM: Control, Optimisation and Calculus of Variations

Rate-independent problems are considered, where the stored energy density is a function of the gradient. The stored energy density may not be quasiconvex and is assumed to grow linearly. Moreover, arbitrary behaviour at infinity is allowed. In particular, the stored energy density is not required to coincide at infinity with a positively 1-homogeneous function. The existence of a rate-independent process is shown in the so-called energetic formulation.

Currently displaying 1341 – 1360 of 5234