Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Eulerian formulation of immersed interface method for membranes with
  tangential stretching   The forces generated by moving interfaces usually include the parts due to
tangential stretching. We derive an evolution equation for the tangential
stretching, which then forms the basis of an Eulerian formulation based on
level set functions. The jump conditions are then derived using the level set
and stretch functions. Compared with the traditional jump conditions under
Lagrangian formulation, the jump conditions under the Eulerian formulation are
compact and clean. The work here makes possible a local level set formulation
for immersed interface method to simulate membranes or vesicles where the
tangential forces are present.

23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph