TITLE

ON THE FREE BOUNDARY FOR QUENCHING TYPE PARABOLIC PROBLEMS VIA LOCAL ENERGY METHODS

AUTHOR(S)
DÍAZ, J. I.
PUB. DATE
September 2014
SOURCE
Communications on Pure & Applied Analysis;Sep2014, Vol. 13 Issue 5, p1799
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We extend some previous local energy method to the study the free boundary generated by the solutions of quenching type parabolic problems involving a negative power of the unknown in the equation.
ACCESSION #
97909574

 

Related Articles

  • STABILIZATION OF THE SIMPLEST NORMAL PARABOLIC EQUATION. FURSIKOV, ANDREI V. // Communications on Pure & Applied Analysis;Sep2014, Vol. 13 Issue 5, p1815 

    The simplest semilinear parabolic equation of normal type with periodic boundary condition is considered, and the problem of stabilization to zero of its solution with arbitrary initial condition by starting control supported in a prescribed subset is investigated. This problem is reduced to one...

  • Asymptotic solutions of the Dirichlet problem for the heat equation with impulses. Matarazzo, G. // Ukrainian Mathematical Journal;Mar2006, Vol. 58 Issue 3, p482 

    We propose an algorithm for the construction of asymptotic expansions for solutions of the Dirichlet problem for the heat equation with impulses.

  • New Formulation of the Transparent Boundary Conditions for the Parabolic Equation. Trofimov, M. Yu. // Technical Physics Letters;May2005, Vol. 31 Issue 5, p400 

    New approximate transparent boundary conditions for the nonstationary parabolic (Schrödinger) equation are derived using the method of multiple scales. © 2005 Pleiades Publishing, Inc.

  • On the Second Order of Accuracy Stable Implicit Difference Scheme for Elliptic-Parabolic Equations. Ashyralyev, Allaberen; Gercek, Okan // Abstract & Applied Analysis;2012, p1 

    We are interested in studying a second order of accuracy implicit difference scheme for the solution of the elliptic-parabolic equation with the nonlocal boundary condition. Well-posedness of this difference scheme is established. In an application, coercivity estimates in Hölder norms for...

  • Existence and Uniqueness of Generalized Solutions to a Telegraph Equation with an Integral Boundary Condition via Galerkin's Method. Guezane-Lakoud, Assia; Dabas, Jaydev; Bahuguna, Dhirendra // International Journal of Mathematics & Mathematical Sciences;2011, p1 

    We consider a telegraph equation with nonlocal boundary conditions, and using the application of Galerkin's method we established the existence and uniqueness of a generalized solution.

  • A Boundary Control Problem for a Nonlinear Parabolic Equation. Maksimov, V. I. // Differential Equations;Nov2003, Vol. 39 Issue 11, p1626 

    This article considers a robust control problem for a nonlinear parabolic system for the case in which the control and the perturbations occur both on the right-hand side of the equation and in the Dirichlet boundary conditions. The aim of the article is to describe a feedback boundary control...

  • A Posteriori Error Estimates for Approximate Solutions of Linear Parabolic Problems. Gaevskaya, A. V.; Repin, S. I. // Differential Equations;Jul2005, Vol. 41 Issue 7, p970 

    Reports on the construction of functional majorants for linear parabolic problems. Practical uses of the majorants; Numerical experiments illustrating the efficiency of the suggested estimates; Difference of the suggested method from traditional numerical methods for solving initial-boundary...

  • Stable difference schemes for certain parabolic equations. Afanas'eva, N.; Vabishchevich, P. // Computational Mathematics & Mathematical Physics;Jul2014, Vol. 54 Issue 7, p1159 

    In some applications, boundary value problems for second-order parabolic equations with a special nonself-adjoint operator have to be solved approximately. The operator of such a problem is a weighted sum of self-adjoint elliptic operators. Unconditionally stable two-level schemes are...

  • OUTPUT-FEEDBACK STABILIZATION AND CONTROL OPTIMIZATION FOR PARABOLIC EQUATIONS WITH NEUMANN BOUNDARY CONTROL. ELHARFI, ABDELHADI // Electronic Journal of Differential Equations;2011, Vol. 2011, Special section p1 

    Both of feedback stabilization and optimal control problems are analyzed for a parabolic partial differential equation with Neumann boundary control. This PDE serves as a model of heat exchangers in a conducting rod. First, we explicitly construct an output-feedback operator which exponentially...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics