• No results found

Parabolic System

To the Properties of the Solutions of a Cross diffusion Parabolic System not in Divergence Form

To the Properties of the Solutions of a Cross diffusion Parabolic System not in Divergence Form

... cross-diffusive system equation ...cross-diffusion parabolic system not in divergence form is ...cross-diffusion parabolic system of equations in non-divergence form for slow and the ...

7

A Quasilinear Parabolic System with Nonlocal Boundary Condition

A Quasilinear Parabolic System with Nonlocal Boundary Condition

... To our knowledge, there is no work dealing with the parabolic system 1.1 with nonlocal boundary condition 1.2 except for the single equation case, although this is a very classical model. Therefore, the ...

18

Local Solutions to a Class of Parabolic System Related to the P Laplacian

Local Solutions to a Class of Parabolic System Related to the P Laplacian

... In this paper, the existence and uniqueness of local solutions to the initial and boun- dary value problem of a class of parabolic system related to the p-Laplacian are stu- died. The regularization method ...

11

Finite Speed of the Perturbation Distribution and Asymptotic Behavior of the Solutions of a Parabolic System not in Divergence Form

Finite Speed of the Perturbation Distribution and Asymptotic Behavior of the Solutions of a Parabolic System not in Divergence Form

... The property a FSPD of the Cauchy problem for a cross diffusion parabolic system not in divergence form based on comparison method is considered. An asymptotic behavior of self-similar solutions for slow ...

11

Blowup for degenerate and singular parabolic system with nonlocal source

Blowup for degenerate and singular parabolic system with nonlocal source

... In this paper, we generalize the results of [6] to parabolic system and investigate the effect of the singularity, degeneracy, and nonlocal reaction on the behavior of the solution of (1.1). The di ffi culties ...

19

Blowup Analysis for a Semilinear Parabolic System with Nonlocal Boundary Condition

Blowup Analysis for a Semilinear Parabolic System with Nonlocal Boundary Condition

... To our surprise, however, it seems that there is no work dealing with singularity analysis of the parabolic system 1.1 with nonlocal boundary condition 1.2 except for the single equation case, although this ...

14

Local existence and uniqueness of solutions of a degenerate parabolic system

Local existence and uniqueness of solutions of a degenerate parabolic system

... This article deals with a degenerate parabolic system coupled with general nonlinear terms. Using the method of regularization and monotone iteration technique, we obtain the local existence of solutions to ...

11

Simultaneous Quenching for Semilinear Parabolic System with Localized Sources in a Square Domain

Simultaneous Quenching for Semilinear Parabolic System with Localized Sources in a Square Domain

... semilinear parabolic system with localized reaction sources in a square ...The system has the homogeneous Dirichlet boundary condition and null initial ...the system using a numerical ...

15

On a Neumann boundary control in a parabolic system

On a Neumann boundary control in a parabolic system

... In this paper we have dealt with controlling a boundary condition of a parabolic system in one dimension. This control aims to find the best appropriate right-hand side boundary function which ensures the ...

16

A nonlocal parabolic system with application to a thermoelastic problem

A nonlocal parabolic system with application to a thermoelastic problem

... nonlocal parabolic system for two dependent variables to a general system for n such ...nonlocal parabolic system of equations governing the temperature distribution in the ...

13

The Initial Boundary Value Problem of a Parabolic System

The Initial Boundary Value Problem of a Parabolic System

... Some authors have studied the global finiteness of the solutions[3,4] and blow up properties of the solutions[9] with various boundary conditions to the equations and systems of evolutionary Laplacian equations. Zhao[11] ...

6

Higher integrability for weak solutions to a degenerate parabolic system with singular coefficients

Higher integrability for weak solutions to a degenerate parabolic system with singular coefficients

... However, as far as we know, there is no relevant research about quasilinear degenerate parabolic systems with skew-symmetric coefficients. In this paper, we try to generalize the results in [10] to quasilinear ...

15

Blow-up for a parabolic system with nonlocal sources and nonlocal boundary conditions

Blow-up for a parabolic system with nonlocal sources and nonlocal boundary conditions

... Porous medium equations with local sources or with nonlocal sources subjected to non- local boundary conditions were also studied (see [–]). They discussed the conditions of existence and blow-up. For other works on ...

14

To The Qualitative Properties Of Solution Of System Equations Not In Divergence Form

To The Qualitative Properties Of Solution Of System Equations Not In Divergence Form

... up properties for a degenerate parabolic system with nonlinear localized sources subject to the homogeneous Dirichlet boundary conditions. The main aim of [5] is to study the blow-up rate estimate and the ...

5

A new positive definite semi-discrete mixed finite element solution for parabolic equations

A new positive definite semi-discrete mixed finite element solution for parabolic equations

... element method (called the splitting positive definite mixed finite element procedure) for treating the pressure equation of parabolic type in a nonlinear parabolic system which described a model for ...

6

Periodic solutions of nonlinear finite difference systems with time delays

Periodic solutions of nonlinear finite difference systems with time delays

... of parabolic boundary value ...to system of reaction-diffusion type of equations with specific reaction functions ...for parabolic initial boundary value problem with time delay [5,6,7] and without ...

8

On non-local reaction-diffusion system in a bounded domain

On non-local reaction-diffusion system in a bounded domain

... and nontrivial functions the solution (u, v) blows up in finite time T , and if pq ≤ 1 the solution (u, v) exists globally. Finally, we analyze the blow-up rate. The results obtained allow us to conclude the system ...

16

Numerical solution of parabolic equations by the box scheme

Numerical solution of parabolic equations by the box scheme

... a convergence proof of this scheme for the heat equation, for a linear parabolic system, and for a class of nonlinear parabolic equations.. Von Neumann stability is shown to hold for the[r] ...

134

Reaction-Diffusion Systems with Discontinuous Reaction Functions

Reaction-Diffusion Systems with Discontinuous Reaction Functions

... semilinear parabolic systems discussed in Chapter ...the parabolic system. The parabolic system under consideration is given in the ...

105

Study of solutions to an initial and boundary value problem for certain systems with variable exponents

Study of solutions to an initial and boundary value problem for certain systems with variable exponents

... The aim of this paper is to extend the results in [, ] to the case of parabolic system (.) and hyperbolic system (.). As far as we know, this seems to be the first paper, where the blow-up ...

10

Show all 10000 documents...

Related subjects