Parabolic equations

This study develops unconditionally monotone finite-difference scheme of second-order of local approximation on uniform grids for the initial boundary problem value for the Gamma equation through the establishment of two-side estimates for the scheme’s solution.

8p tamynhan6 14-09-2020 18 2   Download

The objectives of this dissertation are to study the asymptotic behavior of solutions of these nonlocal problems via the existence of (its finite dimensional) global attractors, and the existence and exponential stability of stationary solutions.

112p thebadguys 08-06-2021 21 3   Download

The objectives of this dissertation are to study the asymptotic behavior of solutions of these nonlocal problems via existence of (its finite dimensional) global attractors, and the existence and exponential stability of stationary solutions.

25p thebadguys 08-06-2021 20 3   Download

Research purposes: We consider some inverse source problems for parabolic equations, focus on three topics: First, we give stability estimates. Second, we propose regularization methods to solve these problems. Third, we set up algorithms and give numerical examples to illustrate the performance of the proposed regularization methods in this thesis.

26p prisonbreak123 21-05-2021 25 4   Download

For the complex parabolic Ginzburg-Landau equation, we prove that, asymptotically, vorticity evolves according to motion by mean curvature in Brakke’s weak formulation. The only assumption is a natural energy bound on the initial data. In some cases, we also prove convergence to enhanced motion in the sense of Ilmanen. Introduction In this paper we study the asymptotic analysis, as the parameter ε goes to zero, of the complex-valued parabolic Ginzburg-Landau equation for functions uε :

128p noel_noel 17-01-2013 44 7   Download

A MODIFIED QUASI-BOUNDARY VALUE METHOD FOR A CLASS OF ABSTRACT PARABOLIC ILL-POSED PROBLEMS M. DENCHE AND S. DJEZZAR Received 14 October 2004; Accepted 9 August 2005 We study a final value problem for first-order abstract differential equation with positive self-adjoint unbounded operator coefficient. This problem is ill-posed. Perturbing the final condition, we obtain an approximate nonlocal problem depending on a small parameter. We show that the approximate problems are well posed and that their solutions converge if and only if the original problem has a classical solution.

8p sting12 10-03-2012 74 4   Download

EIGENSTRUCTURE OF NONSELFADJOINT COMPLEX DISCRETE VECTOR STURM-LIOUVILLE PROBLEMS ´ RAFAEL J. VILLANUEVA AND LUCAS JODAR Received 15 March 2004 and in revised form 5 June 2004 We present a study of complex discrete vector Sturm-Liouville problems, where coefficients of the difference equation are complex numbers and the strongly coupled boundary conditions are nonselfadjoint. Moreover, eigenstructure, orthogonality, and eigenfunctions expansion are studied. Finally, an example is given. 1.

15p sting12 10-03-2012 46 4   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Interior Gradient Estimates for Nonuniformly Parabolic Equations II

28p dauphong18 09-03-2012 32 6   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: ON BASIN OF ZERO-SOLUTIONS TO A SEMILINEAR PARABOLIC EQUATION WITH ORNSTEIN-UHLENBECK OPERATOR

10p dauphong18 09-03-2012 34 4   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article On Comparison Principles for Parabolic Equations with Nonlocal Boundary Conditions

10p sting10 07-03-2012 56 5   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Editorial Harnack’s Estimates: Positivity and Local Behavior of Degenerate and Singular Parabolic Equations

5p sting10 07-03-2012 40 4   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Systems of Quasilinear Parabolic Equations with Discontinuous Coefficients and Continuous Delays

25p dauphong13 09-02-2012 60 8   Download