Please use this identifier to cite or link to this item:
http://hdl.handle.net/10174/7603
|
| Title: | Behaviour of some 3rd order pde’s |
| Other Titles: | Acerca do comportamento de algumas edp.s de 3a ordem |
| Authors: | Correia, Joaquim M.C. |
| Keywords: | singular limit
diffusion
capillarity
nonlinear hyperbolic conservation law
nonlinear KdV-type equation |
| Issue Date: | 9-Jul-2012 |
| Publisher: | ENSPM2012 |
| Citation: | Encontro Nacional da Sociedade Portuguesa de Matemática |
| Abstract: | We
are
concerned
with
zero
limits
for
nonlinear
hyperbolic
conservation
laws
since
dissipative
and
dispersive
small
scale
effects
of
diffusion
and
capillarity
are
under
consideration.
We
consider
the
behaviour
and
selection
of
both
the
right
models
and
the
physical
solutions.
We
intend
to
focus
on
technical
difficulties
we
need
to
overcome
to
prove
a
general
“vanishing
viscosity-‐capillarity
method”
and
comment
on
the
analytical
proof
of
such
a
convergence
for
nonlinear
generalized
Korteweg-‐de
Vries
equations.
This
was
first
conjectured
by
Y.
Brenier
and
D.
Levy,
based
upon
by
numerical
evidence
[Dissipative
behavior
of
some
fully
non-‐linear
KdV-‐type
equations,
Physica
D
137
(2000)]. |
| URI: | http://enspm12.spm.pt/pt/tematicas
http://hdl.handle.net/10174/7603 |
| Type: | lecture |
| Appears in Collections: | CIMA - Comunicações - Em Congressos Científicos Nacionais
|
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