-
1
-
-
0005235678
-
A topological invariant arising in the analysis of traveling waves
-
[AGJ]
-
[AGJ] J. Alexander, R. Gardner, and C. K. R. T. Jones, A topological invariant arising in the analysis of traveling waves, J. reine angew. Math. 410 (1990), 167-212.
-
(1990)
J. Reine Angew. Math.
, vol.410
, pp. 167-212
-
-
Alexander, J.1
Gardner, R.2
Jones, C.K.R.T.3
-
4
-
-
0004165280
-
-
[F], Springer-Verlag, Berlin-Heidelberg
-
[F] M. V. Fedoryuk, Asymptotic analysis, Springer-Verlag, Berlin-Heidelberg 1993.
-
(1993)
Asymptotic Analysis
-
-
Fedoryuk, M.V.1
-
5
-
-
0004064379
-
-
[FD], University of California Press, London
-
[FD] W. Fickett and W. C. Davis, Detonation, University of California Press, London 1979.
-
(1979)
Detonation
-
-
Fickett, W.1
Davis, W.C.2
-
6
-
-
0040942605
-
The Gap Lemma and geometric criteria for instability of viscous shock profiles
-
[GZ]
-
[GZ] R. Gardner and K. Zumbrun, The Gap Lemma and geometric criteria for instability of viscous shock profiles, CPAM 51 (1998), 789-847.
-
(1998)
CPAM
, pp. 789-847
-
-
Gardner, R.1
Zumbrun, K.2
-
7
-
-
0022865466
-
Nonlinear asymptotic stability of viscous shock profiles for conservation laws
-
[G]
-
[G] J. Goodman, Nonlinear asymptotic stability of viscous shock profiles for conservation laws, Arch. Rat. Mech. Anal. 95 (1986), 325-344.
-
(1986)
Arch. Rat. Mech. Anal.
, vol.95
, pp. 325-344
-
-
Goodman, J.1
-
8
-
-
0030502109
-
Sonic shocks governed by the modified Burgers' equation
-
[Ha]
-
[Ha] S. E. Harris, Sonic shocks governed by the modified Burgers' equation, Euro. J. Appl. Math. 7 (1996), 201-222.
-
(1996)
Euro. J. Appl. Math.
, vol.7
, pp. 201-222
-
-
Harris, S.E.1
-
11
-
-
84980078224
-
xx
-
[H]
-
xx, CPAM 3 (1950), 201-230.
-
(1950)
CPAM
, vol.3
, pp. 201-230
-
-
Hopf, E.1
-
13
-
-
0033164375
-
Pointwise estimates on the Green's function for a scalar linear convection-diffusion equation
-
[H2]
-
[H2] P. Howard, Pointwise estimates on the Green's function for a scalar linear convection-diffusion equation, J. Diff. Equ. 155 (1999), 327-367.
-
(1999)
J. Diff. Equ.
, vol.155
, pp. 327-367
-
-
Howard, P.1
-
14
-
-
0033441053
-
Pointwise Green's function approach to stability for scalar conservation laws
-
[H3]
-
[H3] P. Howard, Pointwise Green's function approach to stability for scalar conservation laws, CPAM 52 (1999), 1295-1313.
-
(1999)
CPAM
, vol.52
, pp. 1295-1313
-
-
Howard, P.1
-
17
-
-
0002609897
-
Asymptotic decay toward planar rarefaction waves of solutions for viscous conservation laws in several space dimensions
-
[Ito]
-
[Ito] K. Ito, Asymptotic decay toward planar rarefaction waves of solutions for viscous conservation laws in several space dimensions, Math. Models Meth. Appl. Sci. 6 (1996), 315-338.
-
(1996)
Math. Models Meth. Appl. Sci.
, vol.6
, pp. 315-338
-
-
Ito, K.1
-
18
-
-
84990556253
-
Stability of traveling waves for nonconvex scalar viscous conservation laws
-
[JGK]
-
[JGK] C. K. R. T. Jones, R. Gardner, and T. Kapitula, Stability of traveling waves for nonconvex scalar viscous conservation laws, CPAM 46 (1993), no. 4, 505-526.
-
(1993)
CPAM
, vol.46
, Issue.4
, pp. 505-526
-
-
Jones, C.K.R.T.1
Gardner, R.2
Kapitula, T.3
-
19
-
-
0033628312
-
Existence and stability of standing hole solutions to complex Ginzburg-Landau equations
-
[KR]
-
[KR] T. Kapitula and J. Rubin, Existence and stability of standing hole solutions to complex Ginzburg-Landau equations, Nonlin. 13 (2000), no. 1, 77-112.
-
(2000)
Nonlin.
, vol.13
, Issue.1
, pp. 77-112
-
-
Kapitula, T.1
Rubin, J.2
-
20
-
-
0002348145
-
Stability of bright solitary-wave solutions to perturbed nonlinear Schrödinger equations
-
[KS]
-
[KS] T. Kapitula and B. Sandstede, Stability of bright solitary-wave solutions to perturbed nonlinear Schrödinger equations, Physica D 124 (1998), 58-103.
-
(1998)
Physica D
, vol.124
, pp. 58-103
-
-
Kapitula, T.1
Sandstede, B.2
-
21
-
-
34250115323
-
Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion
-
[KM1]
-
[KM1] S. Kawashima and A. Matsumura, Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion, Comm. Math. Phys. 101 (1985), 97-127.
-
(1985)
Comm. Math. Phys.
, vol.101
, pp. 97-127
-
-
Kawashima, S.1
Matsumura, A.2
-
22
-
-
62449235559
-
Stability of shock profiles in viscoelasticity with non-convex constitution relations
-
[KM2]
-
[KM2] S. Kawashima and A. Matsumura, Stability of shock profiles in viscoelasticity with non-convex constitution relations, CPAM 47 (1994), 1547-1569.
-
(1994)
CPAM
, vol.47
, pp. 1547-1569
-
-
Kawashima, S.1
Matsumura, A.2
-
23
-
-
84972530643
-
The asymptotic nature of solutions of linear systems of differential equations
-
[Le]
-
[Le] N. Levinson, The asymptotic nature of solutions of linear systems of differential equations, Duke Math. J. 15 (1948), 111-126.
-
(1948)
Duke Math. J.
, vol.15
, pp. 111-126
-
-
Levinson, N.1
-
24
-
-
0000138333
-
On the initiation problem for a combustion model
-
[Li1]
-
[Li1] T. Li, On the initiation problem for a combustion model, J. Diff. Equ. 112 (1994), no. 2, 351-373.
-
(1994)
J. Diff. Equ.
, vol.112
, Issue.2
, pp. 351-373
-
-
Li, T.1
-
25
-
-
0000249989
-
Rigorous asymptotic stability of a CJ detonation wave in the limit of small resolved heat release
-
[Li2]
-
[Li2] T. Li, Rigorous asymptotic stability of a CJ detonation wave in the limit of small resolved heat release, Combust. Th. Modell. 1 (1997), 259-270.
-
(1997)
Combust. Th. Modell.
, vol.1
, pp. 259-270
-
-
Li, T.1
-
26
-
-
0002840914
-
Stability of strong detonation waves and rates of convergence
-
[Li3]
-
[Li3] T. Li, Stability of strong detonation waves and rates of convergence, Electr. J. Diff. Equ. 1998 (1998), no. 9, 1-17.
-
(1998)
Electr. J. Diff. Equ.
, vol.1998
, Issue.9
, pp. 1-17
-
-
Li, T.1
-
27
-
-
0041786852
-
Stability and instability of detonation waves
-
[Li4], February
-
[Li4] T. Li, Stability and instability of detonation waves, in: Hyperbolic problems: theory, numerics, applications, Seventh International Conference in Zürich, February 1998, Vol. II, 641-650.
-
(1998)
Hyperbolic Problems: Theory, Numerics, Applications, Seventh International Conference in Zürich
, vol.2
, pp. 641-650
-
-
Li, T.1
-
28
-
-
84968504658
-
Nonlinear stability of shock waves for viscous conservation laws
-
[L]
-
[L] T.-P. Liu, Nonlinear stability of shock waves for viscous conservation laws, Mem. AMS 56 (1985), no. 328.
-
(1985)
Mem. AMS
, vol.56
, Issue.328
-
-
Liu, T.-P.1
-
29
-
-
0041429241
-
Nonlinear stability of strong detonations for a viscous combustion model
-
[LY]
-
[LY] T.-P. Liu and L. A. Ying, Nonlinear stability of strong detonations for a viscous combustion model, SIAM J. Math. Anal. 26 (1995), 519-528.
-
(1995)
SIAM J. Math. Anal.
, vol.26
, pp. 519-528
-
-
Liu, T.-P.1
Ying, L.A.2
-
30
-
-
0019599446
-
A qualitative model for dynamics combustion
-
[M]
-
[M] A. Majda, A qualitative model for dynamics combustion, SIAM J. ppl. Math. 41 (1981), 70-93.
-
(1981)
SIAM J. Appl. Math.
, vol.41
, pp. 70-93
-
-
Majda, A.1
-
31
-
-
0001923997
-
On the stability of traveling wave solutions of a one-dimensional model system for compressive viscous gas
-
[MN1]
-
[MN1] A. Matsumura and K. Nishihara, On the stability of traveling wave solutions of a one-dimensional model system for compressive viscous gas, Japan. J. Appl. Math. 2 (1985), 17-25.
-
(1985)
Japan. J. Appl. Math.
, vol.2
, pp. 17-25
-
-
Matsumura, A.1
Nishihara, K.2
-
32
-
-
0001790393
-
Asymptotics toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas
-
[MN2]
-
[MN2] A. Matsumura and K. Nishihara, Asymptotics toward the rarefaction waves of the solutions of a one-dimensional model system for compressible viscous gas, Japan. J. Appl. Math. 3 (1986), 1-13.
-
(1986)
Japan. J. Appl. Math.
, vol.3
, pp. 1-13
-
-
Matsumura, A.1
Nishihara, K.2
-
33
-
-
34249841641
-
Global stability of the rarefaction wave of a one-dimensional model system for compressible viscous gas
-
[MN3]
-
[MN3] A. Matsumura and K. Nishihara, Global stability of the rarefaction wave of a one-dimensional model system for compressible viscous gas, Comm. Math. Phys. 144 (1992), 325-335.
-
(1992)
Comm. Math. Phys.
, vol.144
, pp. 325-335
-
-
Matsumura, A.1
Nishihara, K.2
-
34
-
-
21844512198
-
Asymptotic stability of traveling waves for scalar viscous conservation laws with non-convex linearity
-
[MN4]
-
[MN4] A. Matsumura and K. Nishihara, Asymptotic stability of traveling waves for scalar viscous conservation laws with non-convex linearity, Comm. Math. Phys. 165 (1994), no. 1, 83-96.
-
(1994)
Comm. Math. Phys.
, vol.165
, Issue.1
, pp. 83-96
-
-
Matsumura, A.1
Nishihara, K.2
-
35
-
-
0033886978
-
Global asymptotics toward the rarefaction wave for solutions of viscous p-systems with boundary effect
-
[MN5]
-
[MN5] A. Matsumura and K. Nishihara, Global asymptotics toward the rarefaction wave for solutions of viscous p-systems with boundary effect, Quart. Appl. Math. 58 (2000), no. 1, 69-83.
-
(2000)
Quart. Appl. Math.
, vol.58
, Issue.1
, pp. 69-83
-
-
Matsumura, A.1
Nishihara, K.2
-
36
-
-
0009377159
-
Stability of shock profiles for nonconvex scalar viscous conservation laws
-
[M1]
-
[M1] M. Mei, Stability of shock profiles for nonconvex scalar viscous conservation laws, Math. Models Meth. Appl. Sci. 5 (1995), no. 3, 279-296.
-
(1995)
Math. Models Meth. Appl. Sci.
, vol.5
, Issue.3
, pp. 279-296
-
-
Mei, M.1
-
37
-
-
0040151449
-
Stability of traveling wave solutions for non-convex equations of barotropic viscous gas
-
[M2]
-
[M2] M. Mei, Stability of traveling wave solutions for non-convex equations of barotropic viscous gas, Osaka J. Math. 34 (1997), 308-318.
-
(1997)
Osaka J. Math.
, vol.34
, pp. 308-318
-
-
Mei, M.1
-
38
-
-
0033245877
-
Asymptotic behavior of solutions for degenerate hyperbolic systems of viscous conservation laws with boundary effect
-
[M3]
-
[M3] M. Mei, Asymptotic behavior of solutions for degenerate hyperbolic systems of viscous conservation laws with boundary effect, ZAMP 50 (1999), 617-633.
-
(1999)
ZAMP
, vol.50
, pp. 617-633
-
-
Mei, M.1
-
39
-
-
0009173909
-
Nonlinear stability of traveling waves for one-dimensional viscoelastic materials with non-convex nonlinearity
-
[MeiN]
-
[MeiN] M. Mei and K. Nishihara, Nonlinear stability of traveling waves for one-dimensional viscoelastic materials with non-convex nonlinearity, Tokyo J. Math. 20 (1997), no. 1, 241-264.
-
(1997)
Tokyo J. Math.
, vol.20
, Issue.1
, pp. 241-264
-
-
Mei, M.1
Nishihara, K.2
-
41
-
-
0010564672
-
A note on the stability of traveling wave solutions of Burgers equation
-
[N1]
-
[N1] K. Nishihara, A note on the stability of traveling wave solutions of Burgers equation, Japan. J. Appl. Math. 2 (1985), 27-35.
-
(1985)
Japan. J. Appl. Math.
, vol.2
, pp. 27-35
-
-
Nishihara, K.1
-
42
-
-
0000158254
-
Stability of traveling waves with degenerate shock for system of one-dimensional viscoelastic model
-
[N2]
-
[N2] K. Nishihara, Stability of traveling waves with degenerate shock for system of one-dimensional viscoelastic model, J. Diff. Equ. 120 (1995), 304-318.
-
(1995)
J. Diff. Equ.
, vol.120
, pp. 304-318
-
-
Nishihara, K.1
-
43
-
-
0001293121
-
Convergence rate to the traveling wave for viscous conservation laws
-
[Ni]
-
[Ni] M. Nishikawa, Convergence rate to the traveling wave for viscous conservation laws, Funkcialoj Ekvacioj 41 (1998), 107-132.
-
(1998)
Funkcialoj Ekvacioj
, vol.41
, pp. 107-132
-
-
Nishikawa, M.1
-
44
-
-
0020830109
-
Weakly nonlinear detonation waves
-
[RM]
-
[RM] R. R. Rosales and A. Majda, Weakly nonlinear detonation waves, SIAM J. Appl. Math. 43 (1983), 10086-1118.
-
(1983)
SIAM J. Appl. Math.
, vol.43
, pp. 10086-11118
-
-
Rosales, R.R.1
Majda, A.2
-
45
-
-
0000814275
-
On the stability of waves of nonlinear parabolic systems
-
[S]
-
[S] D. Sattinger, On the stability of waves of nonlinear parabolic systems, Adv. Math. 22 (1976), 312-355.
-
(1976)
Adv. Math.
, vol.22
, pp. 312-355
-
-
Sattinger, D.1
-
46
-
-
0030533740
-
Stability and rarefaction waves in viscous media
-
[SZ]
-
[SZ] A. Szepessy and K. Zumbrun, Stability and rarefaction waves in viscous media, Arch. Rat. Mech. Anal. 133 (1996), 249-298.
-
(1996)
Arch. Rat. Mech. Anal.
, vol.133
, pp. 249-298
-
-
Szepessy, A.1
Zumbrun, K.2
-
47
-
-
21344482836
-
Transition to detonation in dynamic phase changes
-
[T]
-
[T] L. Truskinovsky, Transition to detonation in dynamic phase changes, Arch. Rat. Mech. Anal. 125 (1994), 375-397.
-
(1994)
Arch. Rat. Mech. Anal.
, vol.125
, pp. 375-397
-
-
Truskinovsky, L.1
-
48
-
-
0042287924
-
Formation of diffusion waves in a scalar conservation law with convection
-
[Z1]
-
[Z1] K. Zumbrun, Formation of diffusion waves in a scalar conservation law with convection, Trans. Amer. Math. Soc. 347 (1995), no. 3, 1023-1032.
-
(1995)
Trans. Amer. Math. Soc.
, vol.347
, Issue.3
, pp. 1023-1032
-
-
Zumbrun, K.1
-
50
-
-
0043290030
-
-
[Z3]
-
[Z3] K. Zumbrun, Lecture notes, 1999, available on: http://www.math.indiana.edu/home/zumbrun.
-
(1999)
Lecture Notes
-
-
Zumbrun, K.1
-
52
-
-
0009378734
-
Pointwise semigroup methods and stability of viscous shock waves
-
[ZH]
-
[ZH] K. Zumbrun and P. Howard, Pointwise semigroup methods and stability of viscous shock waves, Indiana U. Math. J. 47 (1998), no. 3, 741-871.
-
(1998)
Indiana U. Math. J.
, vol.47
, Issue.3
, pp. 741-871
-
-
Zumbrun, K.1
Howard, P.2
-
53
-
-
0001028485
-
Viscous and inviscid stability of multi-dimensional planar shock fronts
-
[ZS]
-
[ZS] K. Zumbrun and D. Serre, Viscous and inviscid stability of multi-dimensional planar shock fronts, Indiana Univ. Math. J. 48 (1999), no. 3, 937-992.
-
(1999)
Indiana Univ. Math. J.
, vol.48
, Issue.3
, pp. 937-992
-
-
Zumbrun, K.1
Serre, D.2
|