Results 61 to 70 of about 11,623,619 (358)

Existence and uniqueness theorem of associated solutions of the stochastic differential system with measures

Журнал Белорусского государственного университета: Математика, информатика, 2018
The Cauchy problem for stochastic differential system with measures is considered in the paper. Finite-difference with averaging system of stochastic differential equations with correspondence to Cauchy problem is investigated.
Artsiom Y. Rusetski
doaj  

Cauchy problem for the hyperbolic system with mixed derivative

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012
Cauchy problem for the hyperbolic system with mixed derivative is considered. The given system is transformed to the triangular or diagonal form for the further equations separation.
E. A. Kozlova
doaj   +1 more source

Study on fracture parameter calibration and failure characteristics of rock with hole and crack

Deep Underground Science and Engineering, EarlyView.
The SIF and plastic zone equations for a single hole and crack have been derived. The model's failure state leads to the identification of four types of cracks. The plastic zone increases with increased brittleness and decreased crack length. Abstract Cracks within the surrounding rock of roadways significantly affect their stability and failure ...
Shaochi Peng, Wensong Wang
wiley   +1 more source

On the approximate solution of the Cauchy problem for the Helmholtz equation on the plane [PDF]

Computational Algorithms and Numerical Dimensions
In this paper, approximate solutions of the Cauchy problem for the Helmholtz equation on a two-dimensional bounded region are found. The problem under consideration belongs to the problems of mathematical physics, in which there is no continuous ...
Davron Juraev, Nazira Mammadzada, Praveen Agarwal, Shilpi Jain   +3 more
doaj   +1 more source

Finite Element Modeling of a Thermoplastic Polyurethane Ball for Rolling Seismic Isolation

Earthquake Engineering &Structural Dynamics, EarlyView.
ABSTRACT The Elastomeric‐Ball Pendulum (EBP) system, which consists of an elastomeric ball rolling on a spherical concrete surface, has been proposed as an isolation system for lightweight structures. Experimental tests have shown that the mechanics of such a rolling ball are remarkably complicated because the vertical load changes the shape of the ...
Sergio I. Reyes, Dimitrios Konstantinidis, Michalis F. Vassiliou   +2 more
wiley   +1 more source

Asymptotics for fractional reaction diffusion equations in periodic media

AIMS Mathematics
In this paper, the Cauchy problem for a class of reaction diffusion equations are considered with nonlocal interactions in periodic media. First, we demonstrate the existence and uniqueness of solutions that are both positive and bounded for the ...
Yu Wei, Yahan Wang, Huiqin Lu
doaj   +1 more source

Advection‐Pressure Splitting Schemes Applied to a Non‐Conservative 1D Blood Flow Model With Transport for Arteries and Veins

International Journal for Numerical Methods in Fluids, EarlyView.
We introduce new efficient and accurate first order finite volume‐type numerical schemes, for the non‐conservative one‐dimensional blood flow equations with transport, taking into account different velocity profiles. The framework is the flux‐vector splitting approach of Toro and Vázquez‐Cendón (2012), that splits the system in two subsystems of PDEs ...
Alessandra Spilimbergo, Eleuterio F. Toro, Annunziato Siviglia, Lucas O. Müller   +3 more
wiley   +1 more source

Generalized solutions of the Cauchy problem for the Navier-Stokes system and diffusion processes

Cubo, 2010
We reduce the construction of a weak solution of the Cauchy problem for the Navier-Stokes system to the construction of a stochastic problem solution.
S Albeverio, Ya Belopolskaya
doaj  

Well-posedness for KdV-type equations with quadratic nonlinearity

, 2018
We consider the Cauchy problem of the KdV-type equation \[ \partial_t u + \frac{1}{3} \partial_x^3 u = c_1 u \partial_x^2u + c_2 (\partial_x u)^2, \quad u(0)=u_0.
Hirayama, Hiroyuki, Kinoshita, Shinya, Okamoto, Mamoru   +2 more
core  

Impact of Uncertain Parameters on Navier–Stokes Equations With Heat Transfer via Polynomial Chaos Expansion

International Journal for Numerical Methods in Fluids, EarlyView.
This study investigates the impact of uncertain parameters on Navier–Stokes equations coupled with heat transfer using the Intrusive Polynomial Chaos Method (IPCM). Sensitivity equations are formulated for key input parameters, such as viscosity and thermal diffusivity, and solved numerically using the Finite Element‐Volume method.
N. Nouaime, B. Després, M. A. Puscas, C. Fiorini   +3 more
wiley   +1 more source