Heat equation in a model matrix geometry

The geometry of a vorticity model equation

We provide rigorous evidence of the fact that the modified Constantin-Lax-Majda equation modeling vortex and quasi-geostrophic dynamics [22] describes the geodesic flow on the subgroup Diff∞1 (S) of orientation-preserving diffeomorphisms φ ∈ Diff∞(S) such that φ(1) = 1 with respect to right-invariant metric induced by the homogeneous Sobolev space Ḣ(S) and show the local existence of the geodes...

A Matrix Model Solution of Hirota Equation

We present a hermitian matrix chain representation of the general solution of the Hirota bilinear difference equation of three variables. In the large N limit this matrix model provides some explicit particular solutions of continuous differential Hirota equation of three variables. A relation of this representation to the eigenvalues of transfer matrices of 2D quantum integrable models is disc...

String Theory, Matrix Model, and Noncommutative Geometry

Compacti cation of Matrix Model on a Noncommutative torus is obtained from strings ending on D-branes with background B eld. The BPS spectrum of the system and a novel SL(2; Z) symmetry are discussed. Noncommutativity of space-time coordinates emerged in string theory recently in the context of coincident Dbranes [1]; in fact the embedding coordinates of D-branes turned out to be noncommutative...

a study on corrosion reasons of heat exchanger in ammonia unit

چکیده ندارد.

Selection of Suitable Geometry in Compact Heat Exchanger Design