scholarly journals The Large-Time Solution of Burgers' Equation with Time-Dependent Coefficients. I. The Coefficients Are Exponential Functions

2015 ◽  
Vol 136 (2) ◽  
pp. 163-188
Author(s):  
J. A. Leach
Keyword(s):  
Large Time ◽  
Burgers Equation ◽  
Time Dependent ◽  
Exponential Functions ◽  
Time Solution

The Large-Time Solution of Burgers' Equation with Time- Dependent Coefficients. II. Algebraic Coefficients

2016 ◽  
Vol 137 (3) ◽  
pp. 273-305
Author(s):  
F. B. Ali Sulaiman ◽  
J. A. Leach ◽  
D. J. Needham
Keyword(s):  
Large Time ◽  
Burgers Equation ◽  
Time Dependent ◽  
Time Solution

scholarly journals Large Time Decay of Solutions to a Linear Nonautonomous System in Exterior Domains

Mathematics ◽  
2021 ◽  
Vol 9 (8) ◽  
pp. 841
Author(s):  
Toshiaki Hishida
Keyword(s):  
Evolution Operator ◽  
Large Time ◽  
Rigid Motion ◽  
Time Dependent ◽  
Energy Relation ◽  
Exterior Domains ◽  
Decay Properties ◽  
Decay Of Solutions ◽  
Whole Space ◽  
Expository Paper

In this expository paper, we study Lq-Lr decay estimates of the evolution operator generated by a perturbed Stokes system in n-dimensional exterior domains when the coefficients are time-dependent and can be unbounded at spatial infinity. By following the approach developed by the present author for the physically relevant case where the rigid motion of the obstacle is time-dependent, we clarify that some decay properties of solutions to the same system in whole space Rn together with the energy relation imply the desired estimates in exterior domains provided n≥3.

A new modified group explicit iterative method for the numerical solution of time dependent viscous Burgers' equation

2014 ◽  
Vol 05 (02) ◽  
pp. 1350029 ◽  
Author(s):  
Jyoti Talwar ◽  
R. K. Mohanty
Keyword(s):  
Iterative Method ◽  
Numerical Solution ◽  
Convergence Analysis ◽  
Iterative Methods ◽  
Iteration Method ◽  
Burgers Equation ◽  
Time Dependent ◽  
Alternating Group ◽  
Explicit Method ◽  
Rectangular Coordinates

In this article, we discuss a new smart alternating group explicit method based on off-step discretization for the solution of time dependent viscous Burgers' equation in rectangular coordinates. The convergence analysis for the new iteration method is discussed in details. We compared the results of Burgers' equation obtained by using the proposed iterative method with the results obtained by other iterative methods to demonstrate computationally the efficiency of the proposed method.

Transient kinetics of nucleation and crystallization: Part II. Crystallization

1991 ◽  
Vol 6 (10) ◽  
pp. 2097-2102 ◽  
Author(s):  
G. Shi ◽  
J.H. Seinfeld
Keyword(s):  
Experimental Data ◽  
Large Time ◽  
Volume Fraction ◽  
Time Dependent ◽  
Transient Kinetics ◽  
Amorphous Phases ◽  
Time Limits ◽  
The Stability ◽  
Analytical Expressions ◽  
Kinetics Of

Analytical expressions for the time-dependent crystallized volume fraction are derived from new results for the transient rate of nucleation reported in Part I. Conventional formulations that have been used in interpreting crystallization experimental data and for assessing the stability of amorphous phases are shown to be large time limits of the newly derived expressions. An approach for assessing the stability of an amorphous phase is proposed.

MULTICONFIGURATION HARTREE–FOCK THEORY FOR PSEUDORELATIVISTIC SYSTEMS: THE TIME-DEPENDENT CASE

2013 ◽  
Vol 24 (03) ◽  
pp. 599-626 ◽  
Author(s):  
HICHEM HAJAIEJ ◽  
PETER A. MARKOWICH ◽  
SABER TRABELSI
Keyword(s):  
Molecular Dynamics ◽  
Initial Data ◽  
Neutron Stars ◽  
Time Dependent ◽  
System Of Equations ◽  
Critical Number ◽  
Dependent Case ◽  
Hartree Fock ◽  
The Third ◽  
Time Solution

In [Setting and analysis of the multi-configuration time-dependent Hartree–Fock equations, Arch. Ration. Mech. Anal.198 (2010) 273–330] the third author has studied in collaboration with Bardos, Catto and Mauser the nonrelativistic multiconfiguration time-dependent Hartree–Fock system of equations arising in the modeling of molecular dynamics. In this paper, we extend the previous work to the case of pseudorelativistic atoms. We show the existence and the uniqueness of global-in-time solution to the underlying system under technical assumptions on the energy of the initial data and the charge of the nucleus. Moreover, we prove that the result can be extended to the case of neutron stars when the number of electrons is less than a critical number N cr .

Sign in / Sign up

Export Citation Format

Share Document