Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Jordan form, parabolicity and other features of change of type
  transition for hydrodynamic type systems   Changes of type transitions for the two-component hydrodynamic type systems
are discussed. It is shown that these systems generically assume the Jordan
form (with 2 X 2 Jordan block) on the transition line with hodograph equations
becoming parabolic. Conditions which allow or forbid the transition from
hyperbolic domain to elliptic one are discussed. Hamiltonian systems and their
special subclasses and equations, like dispersionless nonlinear Schroedinger,
dispersionless Boussinesq, one-dimensional isentropic gas dynamics equations
and nonlinear wave equations are studied. Numerical results concerning the
crossing of transition line for the dispersionless Boussinesq equation are
presented too.

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The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
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The categories of this paper are: eess
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an