Hyperbolic systems with periodic boundary conditions:
نویسندگان
چکیده
منابع مشابه
Boundary conditions for hyperbolic equations or systems
Different types of boundary conditions in industrial numerical simulators involving the discretization of hyperbolic systems are presented. For some of them, one may determine the problem to which the limit of approximate solutions (as the discretization parameters tend to 0) is the unique solution. In turn, this convergence result may suggest other ways to take into account the boundary condit...
متن کاملVanishing Viscosity Solutions of Hyperbolic Systems with Boundary Conditions
with a well defined notion of trace at x = 0. We allow the boundary x = 0 to have the same speed of one of the characteristic speed of the limiting hyperbolic system. This result is achieved by a new decomposition of the solution into travelling profiles and the non characteristic part of boundary profile, the analysis of the interaction of travelling profiles with the boundary profile, the con...
متن کاملBifurcation for Second-Order Hamiltonian Systems with Periodic Boundary Conditions
Through variational methods, we study nonautonomous systems of second-order ordinary differential equations with periodic boundary conditions. First, we deal with a nonlinear system, depending on a function u, and prove that the set of bifurcation points for the solutions of the system is not σ-compact. Then, we deal with a linear system depending on a real parameter λ > 0 and on a function u, ...
متن کاملLinking matrices in systems with Periodic Boundary Conditions
Using the Gauss linking number, we define a new measure of entanglement, the linking matrix, for a collection of closed or open chains in 3-space. Periodic Boundary Conditions (PBC) are often used in the simulation of physical systems of filaments. Using the periodic linking number, defined in [24], we define the periodic linking matrix to study entanglement of closed or open chains in systems ...
متن کاملOn Symmetric Hyperbolic Boundary Problems with Nonhomogeneous Conservative Boundary Conditions
Symmetric hyperbolic systems with nonhomogeneous conservative boundary conditions are considered. Existence, uniqueness, and regularity are established for the boundary value problem and the initial-boundary value problem. This boundary problem is not strongly well-posed in L2, a loss of derivatives is observed. Minimal regularity assumptions on the coefficients of the operator are made.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 1985
ISSN: 0898-1221
DOI: 10.1016/0898-1221(85)90141-5