v 2 + (v ) 2 ] being conserved up to time T . The spectral picture is seen
Well-Posedness of the Cauchy Problem for a Shallow Water Equation on the Circle
✍ Scribed by A.Alexandrou Himonas; Gerard Misiołek
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 180 KB
- Volume
- 161
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
This paper studies the Cauchy problem of the MHD equations with mass diffusion. We use the Tikhonov fixed point theorem to prove a local-in-time well-posedness theorem.
This paper is devoted to study the Cauchy problem for certain incompressible magnetohydrodynamics-a model. In the Sobolev space with fractional index s>1, we proved the local solutions for any initial data, and global solutions for small initial data. Furthermore, we also prove that as a → 0, the MH
## Abstract This paper is devoted to the study of the Cauchy problem of incompressible magneto‐hydrodynamics system in the framework of Besov spaces. In the case of spatial dimension __n__⩾3, we establish the global well‐posedness of the Cauchy problem of an incompressible magneto‐hydrodynamics sys
## Abstract The non‐characteristic Cauchy problem for the heat equation __u__~__xx__~(__x__,__t__) = __u__~1~(__x__,__t__), 0 ⩽ __x__ ⩽ 1, − ∞ < __t__ < ∞, __u__(0,__t__) = φ(__t__), __u__~__x__~(0, __t__) = ψ(__t__), − ∞ < __t__ < ∞ is regularizèd when approximate expressions for φ and ψ are given
The present paper is concerned with the global solvability of the Cauchy problem for the quasilinear parabolic equations with two independent variables: Ž . Ž . u s a t, x, u, u u q f t, x, u, u . We investigate the case of the arbitrary order < < of growth of the function f t, x, u, p with respect