𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Some oscillatory properties of the wave equation in several space dimensions

✍ Scribed by Thierry Cazenave; Alain Haraux

Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
954 KB
Volume
76
Category
Article
ISSN
0022-1236

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

High-order simulation of the elastic–pla
High-order simulation of the elastic–plastic wave equation in two space dimensions
✍ Guido Giese; Michael Fey πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 184 KB

In this paper, we present a numerical scheme for the simulation of elastic-plastic waves in solids in one and two space dimensions, i.e. for the two cases of so-called anti-plane shear and plane strain. In principle, the method presented can be used for simulations of any order in space and time and

Continuation of blowup solutions of nonl
Continuation of blowup solutions of nonlinear heat equations in several space dimensions
✍ Victor A. Galaktionov; Juan L. Vazquez πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 394 KB πŸ‘ 2 views

The possible continuation of solutions of the nonlinear heat equation in after the blowup time is studied and the different continuation modes are discussed in terms of the exponents m and p. Thus, for m + p ≀ 2 we find a phenomenon of nontrivial continuation where the region {x : u(x, t) = ∞} is b

Similarity solutions of dispersive long-
Similarity solutions of dispersive long-wave equations in two space dimensions
✍ Lou Sen-Yue πŸ“‚ Article πŸ“… 1995 πŸ› John Wiley and Sons 🌐 English βš– 634 KB

## Abstract In this paper, both the direct method and the non‐classical Lie approach are applied to reduce the (2 + 1)‐dimensional dispersive long wave equations. Nine types of two‐dimensional PDE reductions and 13 types of ODE reductions are given. All the known reductions obtained by the classica