-
1
-
-
0036555416
-
Hamiltonian equations for scale-invariant waves
-
G. Alí, J. K. Hunter, and D. F. Parker, Hamiltonian equations for scale-invariant waves, Stud. Appl. Math., 108 (2002), pp. 305-321.
-
(2002)
Stud. Appl. Math.
, vol.108
, pp. 305-321
-
-
Alí, G.1
Hunter, J.K.2
Parker, D.F.3
-
2
-
-
77954213981
-
Nonuniqueness of weak solutions for the fractal burgers equation
-
N. Alibaud and B. Andreianov, Nonuniqueness of weak solutions for the fractal Burgers equation, Ann. Inst. H. Poincaré Anal. Non Linéaire, 27 (2010), pp. 997-1016.
-
(2010)
Ann. Inst. H. Poincaré Anal. Non Linéaire
, vol.27
, pp. 997-1016
-
-
Alibaud, N.1
Andreianov, B.2
-
3
-
-
77955797100
-
Asymptotic properties of entropy solutions to fractal burgers equation
-
N. Alibaud, C. Imbert, and G. Karch, Asymptotic properties of entropy solutions to fractal Burgers equation, SIAM J. Math. Anal., 42 (2010), pp. 354-376.
-
(2010)
SIAM J. Math. Anal.
, vol.42
, pp. 354-376
-
-
Alibaud, N.1
Imbert, C.2
Karch, G.3
-
5
-
-
0040573843
-
Analytic structure of two 1d-transport equations with nonlocal fluxes
-
G. R. Baker, X. Li, and A. C. Morlet, Analytic structure of two 1D-transport equations with nonlocal fluxes, Phys. D, 91 (1996), pp. 349-375.
-
(1996)
Phys. D
, vol.91
, pp. 349-375
-
-
Baker, G.R.1
Li, X.2
Morlet, A.C.3
-
6
-
-
77957321493
-
Local well-posedness of nonlocal burgers equations
-
S. Benzoni-Gavage, Local well-posedness of nonlocal Burgers equations, Differential Integral Equations, 22 (2009), pp. 303-320.
-
(2009)
Differential Integral Equations
, vol.22
, pp. 303-320
-
-
Benzoni-Gavage, S.1
-
7
-
-
79951887438
-
On nonlocal conservation laws modelling sedimentation
-
F. Betancourt, R. Bürger, K. H. Karlsen, and E. M. Tory, On nonlocal conservation laws modelling sedimentation, Nonlinearity, 24 (2011), pp. 855-885.
-
(2011)
Nonlinearity
, vol.24
, pp. 855-885
-
-
Betancourt, F.1
Bürger, R.2
Karlsen, K.H.3
Tory, E.M.4
-
8
-
-
0345504868
-
Global and exploding solutions for nonlocal quadratic evolution problems
-
P. Biler and W. A. Woyczýnski, Global and exploding solutions for nonlocal quadratic evolution problems, SIAM J. Appl. Math., 59 (1998), pp. 845-869.
-
(1998)
SIAM J. Appl. Math.
, vol.59
, pp. 845-869
-
-
Biler, P.1
Woyczýnski, W.A.2
-
9
-
-
53349103054
-
Global existence, singularities and ill-posedness for a nonlocal flux
-
A. Castro and D. Córdoba, Global existence, singularities and ill-posedness for a nonlocal flux, Adv. Math., 219 (2008), pp. 1916-1936.
-
(2008)
Adv. Math.
, vol.219
, pp. 1916-1936
-
-
Castro, A.1
Córdoba, D.2
-
10
-
-
33751341338
-
Existence of traveling waves for the nonlocal burgers equation
-
A. J. J. Chmaj, Existence of traveling waves for the nonlocal Burgers equation, Appl. Math. Lett., 20 (2007), pp. 439-444.
-
(2007)
Appl. Math. Lett.
, vol.20
, pp. 439-444
-
-
Chmaj, A.J.J.1
-
11
-
-
0018680110
-
Model equations of nonlinear acoustics
-
D. G. Crighton, Model equations of nonlinear acoustics, Ann. Rev. Fluid Mech., 1 (1979), pp. 11-33.
-
(1979)
Ann. Rev. Fluid Mech.
, vol.1
, pp. 11-33
-
-
Crighton, D.G.1
-
12
-
-
85033360470
-
Fractal conservation laws: Global smooth solutions and vanishing regularization, in elliptic and parabolic problems, progr
-
Birkhäuser, Basel
-
J. Droniou, Fractal conservation laws: Global smooth solutions and vanishing regularization, in Elliptic and Parabolic Problems, Progr. Nonlinear Differential Equations Appl. 63, Birkhäuser, Basel, 2005, pp. 235-242.
-
(2005)
Nonlinear Differential Equations Appl.
, vol.63
, pp. 235-242
-
-
Droniou, J.1
-
13
-
-
84869763589
-
-
Technical report 2010-8353J, Sandia National Laboratories, Albuquerque, NM
-
Q. Du, M. Gunzburger, R. B. Lehoucq, and K. Zhou, A Nonlocal Vector Calculus, Nonlocal Volume-Constrained Problems, and Nonlocal Balance Laws, Technical report 2010-8353J, Sandia National Laboratories, Albuquerque, NM, 2010.
-
(2010)
A Nonlocal Vector Calculus ,Nonlocal Volume-Constrained Problems, Nonlocal Balance Laws
-
-
Du, Q.1
Gunzburger, M.2
Lehoucq, R.B.3
Zhou, K.4
-
14
-
-
77953138219
-
Energy method for multi-dimensional balance laws with non-local dissipation
-
R. Duan, K. Fellner, and C. J. Zhu, Energy method for multi-dimensional balance laws with non-local dissipation, J. Math. Pures Appl., 93 (2010), pp. 572-598.
-
(2010)
J. Math. Pures Appl.
, vol.93
, pp. 572-598
-
-
Duan, R.1
Fellner, K.2
Zhu, C.J.3
-
16
-
-
42649109055
-
Numerical approximation of a time dependent nonlinear space-fractional diffusion equation
-
V. J. Ervin, N. Heuer, and J. P. Roop, Numerical approximation of a time dependent, nonlinear, space-fractional diffusion equation, SIAM J. Numer. Anal., 45 (2007), pp. 572-591.
-
(2007)
SIAM J. Numer. Anal.
, vol.45
, pp. 572-591
-
-
Ervin, V.J.1
Heuer, N.2
Roop, J.P.3
-
17
-
-
9744228735
-
Burgers-poisson: A nonlinear dispersive model equation
-
K. Fellner and C. Schmeiser, Burgers-Poisson: A nonlinear dispersive model equation, SIAM J. Appl. Math., 64 (2004), pp. 1509-1525.
-
(2004)
SIAM J. Appl. Math.
, vol.64
, pp. 1509-1525
-
-
Fellner, K.1
Schmeiser, C.2
-
18
-
-
0001487208
-
Anomalie nella propagazione di onde acustiche di grande ampiezza
-
E. Fubini Ghiron, Anomalie nella propagazione di onde acustiche di grande ampiezza, Alta Frequenza, 4 (1935), pp. 530-581.
-
(1935)
Alta Frequenza
, vol.4
, pp. 530-581
-
-
Fubini Ghiron, E.1
-
19
-
-
78649502736
-
A nonlocal vector calculus with application to nonlocal boundary value problems
-
M. Gunzburger and R. B. Lehoucq, A nonlocal vector calculus with application to nonlocal boundary value problems, Multiscale Model. Simul., 8 (2010), pp. 1581-1598.
-
(2010)
Multiscale Model. Simul.
, vol.8
, pp. 1581-1598
-
-
Gunzburger, M.1
Lehoucq, R.B.2
-
20
-
-
34548507221
-
A nonlocal convection-diffusion equation
-
L. I. Ignat and J. D. Rossi, A nonlocal convection-diffusion equation, J. Funct. Anal., 251 (2007), pp. 399-437.
-
(2007)
J. Funct. Anal.
, vol.251
, pp. 399-437
-
-
Ignat, L.I.1
Rossi, J.D.2
-
21
-
-
70349322676
-
A kinetic decomposition for singular limits of nonlocal conservation laws
-
F. Kissling, P. LeFloch, and C. Rohde, A kinetic decomposition for singular limits of nonlocal conservation laws, J. Differential Equations, 247 (2009), pp. 3338-3356.
-
(2009)
J. Differential Equations
, vol.247
, pp. 3338-3356
-
-
Kissling, F.1
LeFloch, P.2
Rohde, C.3
-
22
-
-
77955085204
-
The computation of nonclassical shock waves with a heterogeneous multiscale method
-
F. Kissling and C. Rohde, The computation of nonclassical shock waves with a heterogeneous multiscale method, Netw. Heterog. Media, 5 (2010), pp. 661-674.
-
(2010)
Netw. Heterog. Media
, vol.5
, pp. 661-674
-
-
Kissling, F.1
Rohde, C.2
-
24
-
-
40849086724
-
Force flux and the peridynamic stress tensor
-
R. B. Lehoucq and S. A. Silling, Force flux and the peridynamic stress tensor, J. Mech. Phys. Solids, 56 (2008), pp. 1566-1577.
-
(2008)
J. Mech. Phys. Solids
, vol.56
, pp. 1566-1577
-
-
Lehoucq, R.B.1
Silling, S.A.2
-
25
-
-
77953615036
-
Translation of walter noll's derivation of the fundamental equations of continuum thermodynamics from statistical mechanics
-
R. B. Lehoucq and O. A. von Lilienfeld, Translation of Walter Noll's derivation of the fundamental equations of continuum thermodynamics from statistical mechanics, J. Elasticity, 100 (2010), pp. 5-24.
-
(2010)
J. Elasticity
, vol.100
, pp. 5-24
-
-
Lehoucq, R.B.1
Von Lilienfeld, O.A.2
-
27
-
-
33748421771
-
Wave breaking in a class of nonlocal dispersive wave equations
-
H. L. Liu, Wave breaking in a class of nonlocal dispersive wave equations, J. Nonlinear Math. Phys., 13 (2006), pp. 441-466.
-
(2006)
J. Nonlinear Math. Phys.
, vol.13
, pp. 441-466
-
-
Liu, H.L.1
-
29
-
-
77952915896
-
Some properties of fractional burgers equation
-
P. Miškinis, Some properties of fractional Burgers equation, Math. Model. Anal., 7 (2002), pp. 151-158.
-
(2002)
Math. Model. Anal.
, vol.7
, pp. 151-158
-
-
Miškinis, P.1
-
30
-
-
35348968384
-
A simple illustration of a weak spectral cascade
-
D. J. Muraki, A simple illustration of a weak spectral cascade, SIAM J. Appl. Math., 67 (2007), pp. 1504-1521.
-
(2007)
SIAM J. Appl. Math.
, vol.67
, pp. 1504-1521
-
-
Muraki, D.J.1
-
31
-
-
0005831509
-
Die herleitung der grundgleichungen der thermomechanik der kontinua aus der statistischen mechanik
-
W. Noll, Die Herleitung der Grundgleichungen der Thermomechanik der Kontinua aus der statistischen Mechanik, J. Rational Mech. Anal., 4 (1955), pp. 627-646.
-
(1955)
J. Rational Mech. Anal.
, vol.4
, pp. 627-646
-
-
Noll, W.1
-
32
-
-
34548296240
-
Nonlinearity in elastic surface waves acts nonlocally
-
R. V. Goldstein and G. A. Maugin, eds. Kluwer Academic Publishers, Dordrecht, The Netherlands
-
D. F. Parker, Nonlinearity in elastic surface waves acts nonlocally, in Surface Waves in Anisotropic and Laminated Bodies and Defects Detection, R. V. Goldstein and G. A. Maugin, eds., Kluwer Academic Publishers, Dordrecht, The Netherlands, 2004, pp. 79-94.
-
(2004)
Surface Waves in Anisotropic and Laminated Bodies and Defects Detection
, pp. 79-94
-
-
Parker, D.F.1
-
33
-
-
33144489184
-
Scalar conservation laws with mixed local and nonlocal diffusion-dispersion terms
-
C. Rohde, Scalar conservation laws with mixed local and nonlocal diffusion-dispersion terms, SIAM J. Math. Anal., 37 (2005), pp. 103-129.
-
(2005)
SIAM J. Math. Anal.
, vol.37
, pp. 103-129
-
-
Rohde, C.1
-
34
-
-
0346055020
-
Reformulation of elasticity theory for discontinuities and long-range forces
-
S. A. Silling, Reformulation of elasticity theory for discontinuities and long-range forces, J. Mech. Phys. Solids, 48 (2000), pp. 175-209.
-
(2000)
J. Mech. Phys. Solids
, vol.48
, pp. 175-209
-
-
Silling, S.A.1
-
35
-
-
17744377618
-
A meshfree method based on the peridynamic model of solid mechanics
-
S. A. Silling and E. Askari, A meshfree method based on the peridynamic model of solid mechanics, Comput. Struct., 83 (2005), pp. 1526-1535.
-
(2005)
Comput. Struct.
, vol.83
, pp. 1526-1535
-
-
Silling, S.A.1
Askari, E.2
-
36
-
-
77956895495
-
Peridynamic theory of solid mechanics
-
S. A. Silling and R. B. Lehoucq, Peridynamic theory of solid mechanics, Adv. Appl. Mech., 44 (2010), pp. 73-168.
-
(2010)
Adv. Appl. Mech.
, vol.44
, pp. 73-168
-
-
Silling, S.A.1
Lehoucq, R.B.2
-
37
-
-
3543049974
-
Deformation of a peridynamic bar
-
S. A. Silling, M. Zimmermann, and R. Abeyaratne, Deformation of a peridynamic bar, J. Elasticity, 73 (2003), pp. 173-190.
-
(2003)
J. Elasticity
, vol.73
, pp. 173-190
-
-
Silling, S.A.1
Zimmermann, M.2
Abeyaratne, R.3
-
38
-
-
0007180452
-
Burgers-kpz turbulence
-
Springer-Verlag, Berlin
-
W. A. Woyczýnski, Burgers-KPZ Turbulence, Lecture Notes in Math. 1700, Springer-Verlag, Berlin, 1998.
-
(1998)
Lecture Notes in Math.
, vol.1700
-
-
Woyczýnski, W.A.1
|