Determining a Coefficient in a First-Order Hyperbolic Equation

1991 ◽  
Vol 51 (2) ◽  
pp. 494-506 ◽  
Author(s):  
Michael Pilant ◽  
William Rundell
Keyword(s):  
Hyperbolic Equation ◽  
First Order ◽  
Order Hyperbolic Equation

scholarly journals ON A STOCHASTIC FIRST-ORDER HYPERBOLIC EQUATION IN A BOUNDED DOMAIN

2009 ◽  
Vol 12 (04) ◽  
pp. 613-651 ◽  
Author(s):  
GUY VALLET ◽  
PETRA WITTBOLD
Keyword(s):  
Hyperbolic Equation ◽  
Bounded Domain ◽  
Entropy Solution ◽  
Stochastic Perturbation ◽  
Dirichlet Condition ◽  
First Order ◽  
Scalar Conservation Law ◽  
Order Hyperbolic Equation ◽  
Scalar Conservation ◽  
Entropy Formulation

In this paper, we are interested in the stochastic perturbation of a first-order hyperbolic equation of nonlinear type. In order to illustrate our purposes, we have chosen a scalar conservation law in a bounded domain with homogeneous Dirichlet condition on the boundary. Using the concept of measure-valued solutions and Kruzhkov's entropy formulation, a result of existence and uniqueness of the entropy solution is given.

Sign in / Sign up

Export Citation Format

Share Document