Weakly hyperbolic systems by symmetrization
نویسندگان
چکیده
منابع مشابه
Asymptotic Approximation of Hyperbolic Weakly Nonlinear Systems
An averaging method for getting uniformly valid asymptotic approximations of the solution of hyperbolic systems of equations is presented. The averaged system of equations disintegrates into independent equations for non-resonance systems. We consider the resonance conditions for some classes of solutions. The averaged system can be solved numerically in the resonance case. The shallow water pr...
متن کاملEnergy Estimates for Weakly Hyperbolic Systems of the First Order
For a class of weakly hyperbolic systems of the form Dt − A(t, x,Dx), where A(t, x, Dx) is a first-order pseudodifferential operator whose principal part degenerates like t∗ at time t = 0, for some integer l∗ ≥ 1, well-posedness of the Cauchy problem is proved in an adapted scale of Sobolev spaces. In addition, an upper bound for the loss of regularity that occurs when passing from the Cauchy d...
متن کاملWeakly Nonlinear-dissipative Approximations of Hyperbolic-parabolic Systems with Entropy
Hyperbolic-parabolic systems have spatially homogenous stationary states. When the dissipation is weak, one can derive weakly nonlinear-dissipative approximations that govern perturbations of these constant states. These approximations are quadratically nonlinear. When the original system has an entropy, the approximation is formally dissipative in a natural Hilbert space. We show that when the...
متن کاملRandom Walks on Weakly Hyperbolic Groups
Let G be a countable group which acts by isometries on a separable, but not necessarily proper, Gromov hyperbolic space X. We say the action of G is weakly hyperbolic if G contains two independent hyperbolic isometries. We show that a random walk on such G converges to the Gromov boundary almost surely. We apply the convergence result to show linear progress and linear growth of translation len...
متن کاملStabilization of Quantum Computations by Symmetrization
We propose a method for the stabilization of quantum computations (including quantum state storage). The method is based on the operation of projection into SYM, the symmetric subspace of the full state space of R redundant copies of the computer. We describe an efficient algorithm and quantum network effecting SYM–projection and discuss the stabilizing effect of the proposed method in the cont...
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: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
سال: 2019
ISSN: 2036-2145,0391-173X
DOI: 10.2422/2036-2145.201610_006