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Exact Boundary Conditions for the Initial Value Problem of Convex Conservation Laws
exact boundary conditions artificial boundary conditions convex conservation laws Burgers’ (inviscid) equation
2015/5/4
The initial value problem of convex conservation laws, which includes the famous Burgers’ (inviscid) equation, plays an important rule not only in the-oretical analysis for conservation laws, but also...
$L^\infty(L^\infty)$-boundedness of DG($p$)-solutions for nonlinear conservation laws with boundary conditions
nonlinear conservation laws boundary conditions
2010/11/18
We prove the $L^\infty(L^\infty)$-boundedness of a higher-order shock-capturing streamline-diffusion DG-method based on polynomials of degree $p\geq 0$ for general scalar conservation laws. The estim...
On a kind of Noether symmetries and conservation laws in k-cosymplectic field theory
Symmetries Conservation laws Noether theorem Hamiltonian field theories
2010/12/6
This paper is devoted to studying symmetries of certain kinds of k-cosymplectic Hamiltonian
systems in first-order classical field theories. Thus, we introduce a particular class of
symmetries and s...