The geometric optics for a class of hyperbolic second order operators with Hölder continuous coefficients with respect to time
The linear symmetric systems associated with the modified Cherednik operators and applications
We introduce and study the linear symmetric systems associated with the modified Cherednik operators. We prove the well-posedness results for the Cauchy problem for these systems. Eventually we describe the finite propagation speed property of it.
The Riemann problem for -systems with continuous flux function
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 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....
Viscous approach for Linear Hyperbolic Systems with Discontinuous Coefficients
We introduce small viscosity solutions of hyperbolic systems with discontinuous coefficients accross the fixed noncharacteristic hypersurface Under a geometric stability assumption, our first result is obtained, in the multi-D framework, for piecewise smooth coefficients. For our second result, the considered operator is with (expansive case not included in our first result), thus resulting in an infinity of weak solutions. Proving that this problem is uniformly Evans-stable, we show that...
Weak Limits of Solutions to Semilinear Hyperbolic Sytems.
Weak solutions for a simple hyperbolic system.
Well posed Cauchy problems for complex nonlinear equations must be semilinear.
Гиперболические уравнения первого порядка с постоянными операторными коэффициентами
Исследование устойчивости одной явной разностной схемы.
Метод пространственных характеристик решения связанной задачи термоупругости
О матрицах Римана первого и второго рода
О монотонности разностных схем
О сильной монотонности трехточечных разностных схем
Об управлении решениями гиперболических систем первого порядка чераз граничные функции
Об устойчивости решений задачи Коши для гиперболических систем с двумя независимыми переменными
Оценки решений инвариантных гиперболических систем первого порядка
Полнота волновых операторов для систем с равномерным распространением