Sign in
Author

Conference

Journal

Organization

Year

DOI
Look for results that meet for the following criteria:
since
equal to
before
between
and
Search in all fields of study
Limit my searches in the following fields of study
Agriculture Science
Arts & Humanities
Biology
Chemistry
Computer Science
Economics & Business
Engineering
Environmental Sciences
Geosciences
Material Science
Mathematics
Medicine
Physics
Social Science
Multidisciplinary
Keywords
(8)
Global Existence
lyapunov stability
Nonlinear Diffusion
Systems of Conservation Laws
Traveling Wave
Left Handed
Right Handed
Shock Wave
Subscribe
Academic
Publications
Attractor and traveling waves of a fluid with nonlinear diffusion and dispersion
Attractor and traveling waves of a fluid with nonlinear diffusion and dispersion,10.1016/j.na.2009.12.003,Nonlinear Analysistheory Methods & Applicat
Edit
Attractor and traveling waves of a fluid with nonlinear diffusion and dispersion
(
Citations: 3
)
BibTex

RIS

RefWorks
Download
Mai Duc Thanh
This work completes the description of the method of estimating attraction domain for traveling waves for several
systems of conservation laws
with viscosity and capillarity effects proposed in our earlier work Thanh (2010) [26]. Precisely, we establish the
global existence
of traveling waves for an isentropic fluid with
nonlinear diffusion
and dispersion coefficients. The
shock wave
can be classical or nonclassical. Interestingly, we in particular show the existence of a
traveling wave
for a given Lax shock but rather nonclassical when the straight line connecting the two lefthand and righthand states crosses the graph of the pressure function two more times in the middle region. Furthermore, we also discuss all the possibilities of saddle–stable, saddle–saddle, or stable–stable connections.
Journal:
Nonlinear Analysistheory Methods & Applications  NONLINEAR ANALTHEOR METH APP
, vol. 72, no. 6, pp. 31363149, 2010
DOI:
10.1016/j.na.2009.12.003
Cumulative
Annual
View Publication
The following links allow you to view full publications. These links are maintained by other sources not affiliated with Microsoft Academic Search.
(
www.sciencedirect.com
)
(
linkinghub.elsevier.com
)
References
(15)
NONMONOTONIC TRAVELING WAVES IN VAN DER WAALS FLUIDS
(
Citations: 7
)
N. BEDJAOUI
,
C. CHALONS
,
F. COQUEL
,
P. G. LEFLOCH
Published in 2005.
Admissibility criteria for propagating phase boundaries in a van der Waals fluid
(
Citations: 136
)
M. Slemrod
Journal:
Archive for Rational Mechanics and Analysis  ARCH RATION MECH ANAL
, vol. 81, no. 4, pp. 301315, 1983
The viscositycapillarity criterion for shocks and phase transitions
(
Citations: 27
)
R. Hagan
,
M. Slemrod
Journal:
Archive for Rational Mechanics and Analysis  ARCH RATION MECH ANAL
, vol. 83, no. 4, pp. 333361, 1983
A limiting “viscosity” approach to the Riemann problem for materials exhibiting change of phase
(
Citations: 56
)
M. Slemrod
Journal:
Archive for Rational Mechanics and Analysis  ARCH RATION MECH ANAL
, vol. 105, no. 4, pp. 327365, 1989
The Riemann Problem for Fluid Flows in a Nozzle with Discontinuous CrossSection
(
Citations: 27
)
Philippe G. Lefloch
,
Mai Duc Thanh
Journal:
Communications in Mathematical Sciences  COMMUN MATH SCI
, vol. 1, no. 2003, pp. 763797, 2003
Sort by:
Citations
(3)
Existence of traveling waves in elastodynamics with variable viscosity and capillarity
(
Citations: 2
)
Mai Duc Thanh
Journal:
Nonlinear Analysisreal World Applications  NONLINEAR ANALREAL WORLD APP
, vol. 12, no. 1, pp. 236245, 2011
The important effect on capacity gain of hybrid network for different node functions
Xinrong Shi
,
Yuan’an Liu
Journal:
Optik
, vol. 122, no. 19, pp. 16971700, 2011
Projection approach for STAP
(
Citations: 2
)
S. Unnikrishna Pillai
,
S. Radhakrishnan Pillai
Conference:
Radar, IEEE National Conference  RADAR
, pp. 397402, 2002