On Majda's model for dynamic combustion
- Hebrew Univ., Jerusalem (Israel)
Majda's model of dynamic combustion, consists of the system, (u [plus] q[sub 0]z)[sub t] [plus] f(u)[sub x] = 0, z[sub t] [plus] K[rho](u)z = 0. In this paper the Cauchy problem is considered. A weak entropy solution for this system is defined, existence, uniqueness and continuous dependence on initial data are proved, as well as finite propagation speed, for initial data in L[infinity]. The existence is proved via the 'vanishing viscosity method' . Furthermore it is proved that the solution to the Riemann problem converges as t [yields] [infinity] to the Z-N-D traveling wave solution. In the appendices, a second order numerical scheme for the model is described, and some numerical results are presented.
- OSTI ID:
- 7164071
- Journal Information:
- Communications in Partial Differential Equations; (United States), Vol. 17:3 and 4; ISSN 0360-5302
- Country of Publication:
- United States
- Language:
- English
Similar Records
Nonlinear thermal evolution in an inhomogeneous medium
Structural stability of Riemann solutions for a multiphase kinematic conservation law model that changes type
Related Subjects
ORGANIC
PHYSICAL AND ANALYTICAL CHEMISTRY
COMBUSTION KINETICS
MATHEMATICAL MODELS
CAUCHY PROBLEM
CHEMICAL REACTIONS
CONVERGENCE
DYNAMICS
FLUID MECHANICS
NUMERICAL SOLUTION
RIEMANN FUNCTION
CHEMICAL REACTION KINETICS
FUNCTIONS
KINETICS
MECHANICS
REACTION KINETICS
400800* - Combustion
Pyrolysis
& High-Temperature Chemistry