[PDF] Top 20 The Initial Boundary Value Problem of a Parabolic System
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The Initial Boundary Value Problem of a Parabolic System
... System (1.1) models such as non-Newtonian fluids [1,6] and nonlinear filtration[5],etc. In the non-Newtonian fluids theory, p i i ( = 1, 2, … , ) n are all characteristic quantity of the medium. Media with p i ... See full document
6
Initial boundary value problems for second order parabolic systems in cylinders with polyhedral base
... changing problem (2) -(4) into the Dirichlet problem for second order ellip- tic depending on time parameter, we can apply the results for this problem in polyhe- dral domains ... See full document
14
Initial boundary value problem with a nonlocal condition for a viscosity equation
... nonlocal boundary condition. The precise statement of the problem is as follows: let β > 0, T > 0, and Q = {(x,t) ∈ R 2 : α < x < β, 0 < t < T} ... See full document
12
The initial boundary value problem of a mixed typed hemivariational inequality
... and boundary or external constraints lead to various typed hemivariational inequalities, the mixed hyperbolic-parabolic hemivariational inequality is one of those [11, 12, ... See full document
10
Solution to a parabolic equation with integral type boundary condition
... A Boundary Value Problem in the Theory of Heat Conduction with a non-Classical Boundary Condition, Zh.. N., Linear and :uasilinear Equations of Parabolic Type, Vol.[r] ... See full document
7
Slowly Oscillating Solutions of a Parabolic Inverse Problem: Boundary Value Problems
... of Problem 2 can be easily obtained from that of the solution u, q of Problem ...of Problem 2. We show that Problem 1 has a unique solution u, ... See full document
12
On a generalization of the Dirichlet problem for the Poisson equation
... the boundary value problems in the unit ball with higher-order derivatives in the boundary conditions were studied by Karachik [–], Sokolovski˘ı [], and ...the boundary conditions were ... See full document
15
Reducing Initial Value Problem and Boundary Value Problem to Volterra and Fredholm Integral Equation and Solution of Initial Value Problem Habeeb Khudhur Kadhim
... completely determined. As a result, the solution u(x) of the Volterra integral equation (II.3) in a series form is readily obtained by using the series assumption in (II.4). It is clearly seen that the decomposition ... See full document
17
On an initial boundary value problem for the nonlinear Schrödinger equation
... an existence and uniqueness result for the damped problem holding for arbitrary initial values.. For this purpose we start from.[r] ... See full document
20
Initial Boundary Value Problem for a Generalized Zakharov Equations
... [29] F. Linares, A. Pastor and J.C. Saut, “Well-posedness for the ZK equation in a cylinder and on the background of a KdV soliton,” Comm. Partial Di ff erential Equations, vol. 35, no. 9, pp. 1674-1689, 2010. [30] F. ... See full document
5
Two-Dimension Riemann Initial-Boundary Value Problem of Scalar Conservation Laws with Curved Boundary
... Riemann initial-boundary value problem with curved ...The boundary entropy condition and its equivalent formula are ...Riemann initial value problem, weak entropy ... See full document
16
Study of the First Boundary Value Problem for a Fourth Order Parabolic Equation in a Nonregular Domain of
... order parabolic equation, set in a nonregular domain of R 3 obtained in [1], to the case where the domain is cylindrical, not with respect to the time variable, but with respect to N space variables, N > ...the ... See full document
13
Application of Initial Boundary Value Problem on Logarithmic Wave Equation in Dynamics
... mainly establish the global existence of weak solutions to the problem (1.2). Firstly we write the problem in a weak version. Secondly we construct approximate solutions by the Galerkin method. Finally we ... See full document
6
A characteristic initial value problem for a strictly hyperbolic system
... We mention further that characteristic boundary value problems for different hyper- bolic systems have been studied in [2] extensively. What is different about our work here is that in addition to prescribing ... See full document
10
The stability of an equation from mathematical finance without the boundary value condition
... well-posedness problem for Eq. (1.1) in the framework of the initial-boundary value conditions system, then the usual boundary value condition ...partial boundary ... See full document
17
Global existence and uniform decay for the one-dimensional model of thermodiffusion with second sound
... the initial boundary value problem for the linear homogeneous ...an initial boundary value problem for the linear system of thermodiffusion in a solid ... See full document
11
Nonhomogeneous initial and boundary value problem for the Caputo type fractional wave equation
... This paper is organized as follows. In Sect. 2, definitions and properties of Mittag-Leffler functions and fractional integrals and derivatives are presented. In Sect. 3, we consider the fractional wave equation (1) and ... See full document
14
Bounds for the blow-up time of a porous medium equation with weighted nonlocal source and inner absorption terms
... to parabolic equations depend on space dimension, nonlinearity, initial data, and nonlinear boundary ...semilinear parabolic equation with homogeneous Dirichlet boundary condition in ... See full document
18
On explicit and numerical solvability of parabolic initial-boundary value problems
... homogeneous boundary conditions, the operator ∂/∂t + A generates an isomorphism between anisotropic Sobolev spaces with an explicit formula for the inverse ... See full document
12
Solvability of initial-boundary value problem of a multiple characteristic fifth-order operator-differential equation
... In the whole real axis, with a multiple characteristic, fifth-order and self-adjoint differen- tial operator has not been researched so far. We demonstrated the association between the coefficients of the differential ... See full document
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