To the theory of boundary value problems for hyperbolic type equations and systems.
Topological sensitivity analysis for time-dependent problems
The topological sensitivity analysis consists in studying the behavior of a given shape functional when the topology of the domain is perturbed, typically by the nucleation of a small hole. This notion forms the basic ingredient of different topology optimization/reconstruction algorithms. From the theoretical viewpoint, the expression of the topological sensitivity is well-established in many situations where the governing p.d.e. system is of elliptic type. This paper focuses on the derivation...
Topological sensitivity analysis for time-dependent problems
The topological sensitivity analysis consists in studying the behavior of a given shape functional when the topology of the domain is perturbed, typically by the nucleation of a small hole. This notion forms the basic ingredient of different topology optimization/reconstruction algorithms. From the theoretical viewpoint, the expression of the topological sensitivity is well-established in many situations where the governing p.d.e. system is of elliptic type. This paper focuses on the derivation...
Torsional asymmetry in suspension bridge systems
In this paper a dynamic linear model of suspension bridge center spans is formulated and three different ways of fixing the main cables are studied. The model describes vertical and torsional oscillations of the deck under the action of lateral wind. The mutual interactions of main cables, center span, and hangers are analyzed. Three variational evolutions are analyzed. The variational equations correspond to the way how the main cables are fixed. The existence, uniqueness, and continuous dependence...
Toward a mathematical analysis for a model of suspension flowing down an inclined plane
We consider the Riemann problem of the dilute approximation equations with spatiotemporally dependent volume fractions from the full model of suspension, in which the particles settle to the solid substrate and the clear liquid film flows over the sediment [Murisic et al., J. Fluid. Mech. 717, 203–231 (2013)]. We present a method to find shock waves, rarefaction waves for the Riemann problem of this system. Our method is mainly based on [Smoller, Springer-Verlag, New York, second edition, (1994)]....
Transformation de Kelvin et ondes non linéaires globales
Transformations of differential equations
Transmission problem for waves with frictional damping.
Trapping obstacles with nonhyperbolic periodic ray, asymptotic behaviour of solutions.
Travaux de Melrose sur le problème des «glancing rays»
Traveling wave solutions of Burgers equation for power-law non-Newtonian flows.
Travelling waves for a certain first-order coupled PDE system.
Two methods for optical flow estimation
In this paper we describe two methods for optical flow estimation between two images. Both methods are based on the backward tracking of characteristics for advection equation and the difference is on the choice of advection vector field. We present numerical experiments on 2D data of cell nucleus.
Two new approaches for construction of the high order of accuracy difference schemes for hyperbolic differential equations.
Two phase flow arising in hydraulics
The aim of this paper is to proceed in the study of the system which will be specified below. The system concerns fluid flow in a simple hydraulic system consisting of a pipe with generator on one side and a valve or some more complicated hydraulic elements on the other end of the pipe. The purpose of the research is a rigorous mathematical analysis of the corresponding linearized system. Here, we analyze the linearized problem near the fixed steady state which already have been explicitly described....
Two-dimension Riemann initial-boundary value problem of scalar conservation laws with curved boundary.
Two-level feedback control for interconnected distributed parameter systems of first order
Über die Eindeutigkeitsbedingung von Krasnoselskii-Kreǐn bei hyperbolischen Differentialgleichungen
Über die klassische Lösbarkeit des Cauchy-Problems für nichtlineare Wellengleichungen bei kleinen Anfangswerten und das asymptotische Verhalten der Lösungen.
Über nichtlineare Wellengleichungen mit zeitabhängigem Hauptteil.