Strichartz Estimates and the
Cauchy Problem for the Gravity Water Waves Equations
Yellow-vest representative Benjamin
Cauchy said protesters would be out on New Year's Eve as well, to show that the mobilisation will not end in the new year".
"We didn't want a suspension, we want the past increase in the tax on fuels to be canceled immediately," Benjamin
Cauchy, the organizer of the Yellow Vests movement, told BFM TV.
The
Cauchy problem for regular equations was investigated, e.g., in well known works [3,4,5,7,9,12], but for singularly perturbed equations it has not been considered previously.
Then, there is a study on
Cauchy sequence in an NSNLS in Section 4.
The guide service identified the dead skier as Dr Emmanuel
Cauchy, who notably treated French climber Elisabeth Revol after she survived a storm in the Himalayas in January that killed her Polish climbing partner.
For the local and global well-posedness of the
Cauchy problem we refer to [12-14] and references cited therein.
Then in Section 3 the origin of the dual kinetic evolution is stated; namely, a low-density (Boltzmann-Grad) limit of a nonperturbative solution of the
Cauchy problem of the dual BBGKY hierarchy is established.
It is sufficient to prove that the sequence {[[sigma].sub.m], ([x.sub.n], [y.sub.n])} is
Cauchy in R.
We first study some properties of a regular function and then generalize
Cauchy integral theorem and
Cauchy integral formula in [A.sub.n](R).
Based on the modified strain energy function, the tension
Cauchy stress can be expressed as:
Let us consider finite difference approximation of the
Cauchy problems of nonlinear partial differential equations (PDE's) of the normal form, and we show here its convergence independently of stability of the
Cauchy problems.