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Ryzhik, Lenya

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Author ID: ryzhik.lenya Recent zbMATH articles by "Ryzhik, Lenya"
Published as: Ryzhik, L.; Ryzhik, L. V.; Ryzhik, Lenya; Ryzhik, Leonid
Homepage: http://math.stanford.edu/~ryzhik/
External Links: MGP · Math-Net.Ru · dblp
Documents Indexed: 106 Publications since 1993
all top 5

Serials

11 Nonlinearity
10 Archive for Rational Mechanics and Analysis
9 Communications in Mathematical Sciences
6 Communications in Mathematical Physics
6 Communications in Partial Differential Equations
5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
5 SIAM Journal on Applied Mathematics
4 Wave Motion
4 Multiscale Modeling & Simulation
3 Communications on Pure and Applied Mathematics
2 Journal of Mathematical Physics
2 Geometric and Functional Analysis. GAFA
2 SIAM Journal on Mathematical Analysis
2 Annals of Mathematics. Second Series
2 Journal of the European Mathematical Society (JEMS)
2 Combustion Theory and Modelling
2 Stochastics and Dynamics
1 Inverse Problems
1 Israel Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Journal of Statistical Physics
1 Theoretical and Mathematical Physics
1 The Annals of Probability
1 Journal of Differential Equations
1 Journal of Functional Analysis
1 Quarterly of Applied Mathematics
1 Chinese Annals of Mathematics. Series B
1 Probability Theory and Related Fields
1 Asymptotic Analysis
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Methods and Applications of Analysis
1 Discrete and Continuous Dynamical Systems
1 Matemática Contemporânea
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Interfaces and Free Boundaries
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Communications in Contemporary Mathematics
1 Discrete and Continuous Dynamical Systems. Series B
1 Networks and Heterogeneous Media
1 Inverse Problems and Imaging
1 Mathematical Modelling of Natural Phenomena
1 Kinetic and Related Models

Publications by Year

Citations contained in zbMATH Open

94 Publications have been cited 1,410 times in 863 Documents Cited by Year
The non-local Fisher-KPP equation: travelling waves and steady states. Zbl 1195.35088
Berestycki, Henri; Nadin, Grégoire; Perthame, Benoit; Ryzhik, Lenya
98
2009
Transport equations for elastic and other waves in random media. Zbl 0954.74533
Ryzhik, Leonid; Papanicolaou, George; Keller, Joseph B.
86
1996
Diffusion and mixing in fluid flow. Zbl 1180.35084
Constantin, Peter; Kiselev, Alexander; Ryzhik, Lenya; Zlatoš, Andrej
69
2008
Biomixing by chemotaxis and enhancement of biological reactions. Zbl 1236.35190
Kiselev, Alexander; Ryzhik, Lenya
52
2012
Exponential decay for the fragmentation or cell-division equation. Zbl 1072.35195
Perthame, Benoît; Ryzhik, Lenya
52
2005
Bulk burning rate in passive-reactive diffusion. Zbl 0979.76093
Constantin, Peter; Kiselev, Alexander; Oberman, Adam; Ryzhik, Leonid
46
2000
Traveling waves in a one-dimensional heterogeneous medium. Zbl 1178.35205
Nolen, James; Ryzhik, Lenya
41
2009
Enhancement of the traveling front speeds in reaction-diffusion equations with advection. Zbl 1002.35069
Kiselev, Alexander; Ryzhik, Leonid
40
2001
A short proof of the logarithmic Bramson correction in Fisher-KPP equations. Zbl 1275.35067
Hamel, François; Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya
39
2013
Existence and non-existence of Fisher-KPP transition fronts. Zbl 1267.35108
Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya; Zlatoš, Andrej
38
2012
On the nonlocal Fisher-KPP equation: steady states, spreading speed and global bounds. Zbl 1317.35122
Hamel, François; Ryzhik, Lenya
36
2014
Stability of generalized transition fronts. Zbl 1173.35021
Mellet, Antoine; Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya
32
2009
Stability in a nonlinear population maturation model. Zbl 1020.92025
Mischler, Stéphane; Perthame, Benoît; Ryzhik, Lenya
30
2002
Radiative transport limit for the random Schrödinger equation. Zbl 0999.60061
Bal, Guillaume; Papanicolaou, George; Ryzhik, Leonid
30
2002
Biomixing by chemotaxis and efficiency of biological reactions: the critical reaction case. Zbl 1300.92015
Kiselev, Alexander; Ryzhik, Lenya
29
2012
Self-averaging in time reversal for the parabolic wave equation. Zbl 1020.35126
Bal, Guillaume; Papanicolaou, George; Ryzhik, Leonid
27
2002
Finite time singularity for the modified SQG patch equation. Zbl 1360.35159
Kiselev, Alexander; Ryzhik, Lenya; Yao, Yao; Zlatoš, Andrej
26
2016
KPP pulsating front speed-up by flows. Zbl 1152.35055
Ryzhik, Lenya; Zlatos, Andrej
26
2007
Quenching and propagation in KPP reaction-diffusion equations with a heat loss. Zbl 1087.35051
Berestycki, Henri; Hamel, Francois; Kiselev, Alexander; Ryzhik, Lenya
25
2005
Statistical stability in time reversal. Zbl 1065.35058
Papanicolaou, George; Ryzhik, Leonid; Solna, Knut
25
2004
Wave-like solutions for nonlocal reaction-diffusion equations: a toy model. Zbl 1280.34066
Nadin, G.; Rossi, L.; Ryzhik, L.; Perthame, B.
24
2013
Global regularity for the fractional Euler alignment system. Zbl 1390.35370
Do, Tam; Kiselev, Alexander; Ryzhik, Lenya; Tan, Changhui
22
2018
Traveling waves for the Keller-Segel system with Fisher birth terms. Zbl 1154.35459
Nadin, Gregoire; Perthame, Benoît; Ryzhik, Lenya
21
2008
Kinetic limits for waves in a random medium. Zbl 1221.60095
Bal, Guillaume; Komorowski, Tomasz; Ryzhik, Lenya
20
2010
Self-averaging of Wigner transforms in random media. Zbl 1037.35108
Bal, Guillaume; Komorowski, Tomasz; Ryzhik, Lenya
20
2003
Self-averaging from lateral diversity in the Itô-Schrödinger equation. Zbl 1143.35390
Papanicolaou, George; Ryzhik, Lenya; Sølna, Knut
19
2007
Boundary layers and KPP fronts in a cellular flow. Zbl 1109.76064
Novikov, Alexei; Ryzhik, Lenya
19
2007
Quenching of flames by fluid advection. Zbl 1032.35087
Constantin, Peter; Kiselev, Alexander; Ryzhik, Leonid
19
2001
Time reversal and refocusing in random media. Zbl 1126.76360
Bal, Guillaume; Ryzhik, Leonid
18
2003
The logarithmic delay of KPP fronts in a periodic medium. Zbl 1338.35243
Hamel, François; Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya
16
2016
Flame enhancement and quenching in fluid flows. Zbl 1068.76570
Vladimirova, Natalia; Constantin, Peter; Kiselev, Alexander; Ruchayskiy, Oleg; Ryzhik, Leonid
15
2003
Radiative transport in a periodic structure. Zbl 0964.82048
Bal, Guillaume; Fannjiang, Albert; Papanicolaou, George; Ryzhik, Leonid
15
1999
The Edwards-Wilkinson limit of the random heat equation in dimensions three and higher. Zbl 1400.82131
Gu, Yu; Ryzhik, Lenya; Zeitouni, Ofer
14
2018
Traveling wave solutions in a reaction-diffusion model for criminal activity. Zbl 1288.35160
Berestycki, H.; Rodríguez, N.; Ryzhik, L.
14
2013
Asymptotics of the solutions of the random Schrödinger equation. Zbl 1231.35187
Bal, Guillaume; Komorowski, Tomasz; Ryzhik, Lenya
13
2011
Quenching of reaction by cellular flows. Zbl 1097.35077
Fannjiang, A.; Kiselev, A.; Ryzhik, L.
13
2006
Super-linear spreading in local and non-local cane toads equations. Zbl 1375.35565
Bouin, Emeric; Henderson, Christopher; Ryzhik, Lenya
11
2017
The explosion problem in a flow. Zbl 1204.35131
Berestycki, Henri; Kiselev, Alexander; Novikov, Alexei; Ryzhik, Lenya
11
2010
Non-planar fronts in Boussinesq reactive flows. Zbl 1157.35469
Berestycki, Henri; Constantin, Peter; Ryzhik, Lenya
11
2006
Boundary layers for cellular flows at high Péclet numbers. Zbl 1112.76023
Novikov, Alexei; Papanicolaou, George; Ryzhik, Lenya
11
2005
Diffusion approximation of radiative transfer problems with interfaces. Zbl 0976.45008
Bal, Guillaume; Ryzhik, Leonid
11
2000
Anisotropic interactions in a first-order aggregation model. Zbl 1332.34085
Evers, Joep H. M.; Fetecau, Razvan C.; Ryzhik, Lenya
10
2015
Travelling waves in two-dimensional reactive Boussinesq systems with no-slip boundary conditions. Zbl 1106.76076
Constantin, Peter; Lewicka, Marta; Ryzhik, Lenya
10
2006
Diffusion in a weakly random Hamiltonian flow. Zbl 1170.37327
Komorowski, Tomasz; Ryzhik, Lenya
10
2006
The bramson logarithmic delay in the cane toads equations. Zbl 1370.35175
Bouin, Emeric; Henderson, Christopher; Ryzhik, Lenya
9
2017
Passive tracer in a slowly decorrelating random flow with a large mean. Zbl 1125.70009
Komorowski, Tomasz; Ryzhik, Lenya
9
2007
Transition waves for a class of space-time dependent monostable equations. Zbl 1305.35092
Rossi, Luca; Ryzhik, Lenya
8
2014
The Harnack inequality for second-order elliptic equations with divergence-free drifts. Zbl 1308.35039
Ignatova, Mihaela; Kukavica, Igor; Ryzhik, Lenya
8
2014
Transport theory for acoustic waves with reflection and transmission at interfaces. Zbl 1067.76605
Bal, Guillaume; Keller, Joseph B.; Papanicolaou, George; Ryzhik, Leonid
8
1999
Transport equations for waves in a half space. Zbl 0895.35010
Ryzhik, Leonid; Papanicolaou, George C.; Keller, Joseph B.
8
1997
Exit times of diffusions with incompressible drift. Zbl 1387.35493
Iyer, Gautam; Novikov, Alexei; Ryzhik, Lenya; Zlatoš, Andrej
7
2010
Traveling fronts for the thermo-diffusive system with arbitrary Lewis numbers. Zbl 1200.35044
Hamel, François; Ryzhik, Lenya
7
2010
Fluctuations of the solutions to the KPZ equation in dimensions three and higher. Zbl 1445.35345
Dunlap, Alexander; Gu, Yu; Ryzhik, Lenya; Zeitouni, Ofer
6
2020
Stability of time reversed waves in changing media. Zbl 1184.35187
Bal, Guillaume; Ryzhik, Lenya
6
2005
Fronts in reactive convection: Bounds, stability, and instability. Zbl 1072.76068
Constantin, Peter; Kiselev, Alexander; Ryzhik, Lenya
6
2003
Time reversal for classical waves in random media. Zbl 1033.74022
Bal, Guillaume; Ryzhik, Leonid
6
2001
Waves and transport. Zbl 0930.35172
Papanicolaou, George; Ryzhik, Leonid
6
1999
Convergence to a single wave in the Fisher-KPP equation. Zbl 1365.35074
Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya
5
2017
Power-like delay in time inhomogeneous Fisher-KPP equations. Zbl 1327.35184
Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya
5
2015
Asymptotics of the solutions of the stochastic lattice wave equation. Zbl 1283.35143
Komorowski, Tomasz; Olla, Stefano; Ryzhik, Lenya
5
2013
Limit of fluctuations of solutions of Wigner equation. Zbl 1179.81056
Komorowski, Tomasz; Peszat, Szymon; Ryzhik, Lenya
5
2009
Non-adiabatic KPP fronts with an arbitrary Lewis number. Zbl 1083.35046
Hamel, François; Ryzhik, Lenya
5
2005
Hypoelliptic estimates in radiative transfer. Zbl 1342.35206
Gomez, Christophe; Pinaud, Olivier; Ryzhik, Lenya
4
2016
A differential equations approach to \(l_{1}\)-minimization with applications to array imaging. Zbl 1267.65069
Moscoso, Miguel; Novikov, Alexei; Papanicolaou, George; Ryzhik, Lenya
4
2012
Fluctuations of solutions to Wigner equation with an Ornstein-Uhlenbeck potential. Zbl 1244.82073
Komorowski, Tomasz; Ryzhik, Lenya
4
2012
Propagation and quenching in a reactive Burgers-Boussinesq system. Zbl 1155.35085
Constantin, Peter; Roquejoffre, Jean-Michel; Ryzhik, Lenya; Vladimirova, Natalia
4
2008
Travelling fronts in porous media combustion: existence and a singular limit. Zbl 1149.76683
Gordon, Peter; Ryzhik, Lenya
4
2006
Probabilistic theory of transport processes with polarization. Zbl 0963.60081
Bal, Guillaume; Papanicolaou, George; Ryzhik, Leonid
4
2000
The Harnack inequality for second-order parabolic equations with divergence-free drifts of low regularity. Zbl 1343.35047
Ignatova, Mihaela; Kukavica, Igor; Ryzhik, Lenya
3
2016
Exploring the effects of social preference, economic disparity, and heterogeneous environments on segregation. Zbl 1336.35194
Rodríguez, Nancy; Ryzhik, Lenya
3
2016
From homogenization to averaging in cellular flows. Zbl 1302.35039
Iyer, Gautam; Komorowski, Tomasz; Novikov, Alexei; Ryzhik, Lenya
3
2014
On asymptotics of a tracer advected in a locally self-similar, correlated flow. Zbl 1151.76591
Komorowski, Tomasz; Ryzhik, Lenya
3
2007
Existence of pulsating waves in a model of flames in sprays. Zbl 1110.35007
Constantin, Peter; Domelevo, Komla; Roquejoffre, Jean-Michel; Ryzhik, Lenya
3
2006
The parabolic wave approximation and time reversal. Zbl 1027.76049
Papanicolaou, George; Ryzhik, Leonid; Sølna, Knut
3
2002
An upper bound for the bulk burning rate for systems. Zbl 0988.35080
Kiselev, Alexander; Ryzhik, Leonid
3
2001
High frequency limit for a chain of harmonic oscillators with a point Langevin thermostat. Zbl 1442.82011
Komorowski, Tomasz; Olla, Stefano; Ryzhik, Lenya; Spohn, Herbert
2
2020
The weak coupling limit for the random Schrödinger equation: the average wave function. Zbl 1384.35117
Chen, Thomas; Komorowski, Tomasz; Ryzhik, Lenya
2
2018
The random Schrödinger equation: homogenization in time-dependent potentials. Zbl 1339.60079
Gu, Yu; Ryzhik, Lenya
2
2016
A sharp bound on the \(L^2\) norm of the solution of a random elliptic difference equation. Zbl 1222.39017
Komorowski, Tomasz; Ryzhik, Lenya
2
2011
Relaxation in reactive flows. Zbl 1177.35119
Constantin, Peter; Novikov, Alexei; Ryzhik, Lenya
2
2008
Moderate dispersion in conservation laws with convex fluxes. Zbl 1141.35322
Perthame, Benoît; Ryzhik, Lenya
2
2007
Flame capturing with an advection–reaction–diffusion model. Zbl 1105.80018
Vladimirova, Natalia; Weirs, V. Gregory; Ryzhik, Lenya
2
2006
The quantum scattering limit for a regularized Wigner equation. Zbl 1092.81026
Perthame, Benoît; Ryzhik, Lenya
2
2004
Time splitting for the Liouville equation in a random medium. Zbl 1082.65093
Bal, Guillaume; Ryzhik, Lenya
2
2004
Time splitting for wave equations in random media. Zbl 1130.74393
Bal, Guillaume; Ryzhik, Lenya
2
2004
Wave transport for a scalar model of the love waves. Zbl 1163.74314
Bal, Guillaume; Ryzhik, Leonid
2
2002
Radiative transfer of sound waves in a random flow: Turbulent scattering, straining, and mode-coupling. Zbl 0994.76091
Fannjiang, Albert; Ryzhik, Leonid
2
2001
Evolution of trajectory correlations in steady random flows. Zbl 0892.60031
Fannjiang, Albert; Ryzhik, Leonid; Papanicolaou, George
2
1998
The Bramson delay in the non-local Fisher-KPP equation. Zbl 1436.35239
Bouin, Emeric; Henderson, Christopher; Ryzhik, Lenya
1
2020
Refined long-time asymptotics for Fisher-KPP fronts. Zbl 1423.35208
Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya
1
2019
The Schrödinger equation with spatial white noise: the average wave function. Zbl 1384.35105
Gu, Yu; Komorowski, Tomasz; Ryzhik, Lenya
1
2018
Long time energy transfer in the random Schrödinger equation. Zbl 1296.35110
Komorowski, Tomasz; Ryzhik, Lenya
1
2014
Evolution of particle separation in slowly decorrelating velocity fields. Zbl 1254.60042
Komorowski, Tomasz; Novikov, Alexei; Ryzhik, Lenya
1
2012
The KPP system in a periodic flow with a heat loss. Zbl 1117.80003
Gordon, Peter V.; Ryzhik, Lenya; Vladimirova, Natalia
1
2005
Fluctuations of the solutions to the KPZ equation in dimensions three and higher. Zbl 1445.35345
Dunlap, Alexander; Gu, Yu; Ryzhik, Lenya; Zeitouni, Ofer
6
2020
High frequency limit for a chain of harmonic oscillators with a point Langevin thermostat. Zbl 1442.82011
Komorowski, Tomasz; Olla, Stefano; Ryzhik, Lenya; Spohn, Herbert
2
2020
The Bramson delay in the non-local Fisher-KPP equation. Zbl 1436.35239
Bouin, Emeric; Henderson, Christopher; Ryzhik, Lenya
1
2020
Refined long-time asymptotics for Fisher-KPP fronts. Zbl 1423.35208
Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya
1
2019
Global regularity for the fractional Euler alignment system. Zbl 1390.35370
Do, Tam; Kiselev, Alexander; Ryzhik, Lenya; Tan, Changhui
22
2018
The Edwards-Wilkinson limit of the random heat equation in dimensions three and higher. Zbl 1400.82131
Gu, Yu; Ryzhik, Lenya; Zeitouni, Ofer
14
2018
The weak coupling limit for the random Schrödinger equation: the average wave function. Zbl 1384.35117
Chen, Thomas; Komorowski, Tomasz; Ryzhik, Lenya
2
2018
The Schrödinger equation with spatial white noise: the average wave function. Zbl 1384.35105
Gu, Yu; Komorowski, Tomasz; Ryzhik, Lenya
1
2018
Super-linear spreading in local and non-local cane toads equations. Zbl 1375.35565
Bouin, Emeric; Henderson, Christopher; Ryzhik, Lenya
11
2017
The bramson logarithmic delay in the cane toads equations. Zbl 1370.35175
Bouin, Emeric; Henderson, Christopher; Ryzhik, Lenya
9
2017
Convergence to a single wave in the Fisher-KPP equation. Zbl 1365.35074
Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya
5
2017
Finite time singularity for the modified SQG patch equation. Zbl 1360.35159
Kiselev, Alexander; Ryzhik, Lenya; Yao, Yao; Zlatoš, Andrej
26
2016
The logarithmic delay of KPP fronts in a periodic medium. Zbl 1338.35243
Hamel, François; Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya
16
2016
Hypoelliptic estimates in radiative transfer. Zbl 1342.35206
Gomez, Christophe; Pinaud, Olivier; Ryzhik, Lenya
4
2016
The Harnack inequality for second-order parabolic equations with divergence-free drifts of low regularity. Zbl 1343.35047
Ignatova, Mihaela; Kukavica, Igor; Ryzhik, Lenya
3
2016
Exploring the effects of social preference, economic disparity, and heterogeneous environments on segregation. Zbl 1336.35194
Rodríguez, Nancy; Ryzhik, Lenya
3
2016
The random Schrödinger equation: homogenization in time-dependent potentials. Zbl 1339.60079
Gu, Yu; Ryzhik, Lenya
2
2016
Anisotropic interactions in a first-order aggregation model. Zbl 1332.34085
Evers, Joep H. M.; Fetecau, Razvan C.; Ryzhik, Lenya
10
2015
Power-like delay in time inhomogeneous Fisher-KPP equations. Zbl 1327.35184
Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya
5
2015
On the nonlocal Fisher-KPP equation: steady states, spreading speed and global bounds. Zbl 1317.35122
Hamel, François; Ryzhik, Lenya
36
2014
Transition waves for a class of space-time dependent monostable equations. Zbl 1305.35092
Rossi, Luca; Ryzhik, Lenya
8
2014
The Harnack inequality for second-order elliptic equations with divergence-free drifts. Zbl 1308.35039
Ignatova, Mihaela; Kukavica, Igor; Ryzhik, Lenya
8
2014
From homogenization to averaging in cellular flows. Zbl 1302.35039
Iyer, Gautam; Komorowski, Tomasz; Novikov, Alexei; Ryzhik, Lenya
3
2014
Long time energy transfer in the random Schrödinger equation. Zbl 1296.35110
Komorowski, Tomasz; Ryzhik, Lenya
1
2014
A short proof of the logarithmic Bramson correction in Fisher-KPP equations. Zbl 1275.35067
Hamel, François; Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya
39
2013
Wave-like solutions for nonlocal reaction-diffusion equations: a toy model. Zbl 1280.34066
Nadin, G.; Rossi, L.; Ryzhik, L.; Perthame, B.
24
2013
Traveling wave solutions in a reaction-diffusion model for criminal activity. Zbl 1288.35160
Berestycki, H.; Rodríguez, N.; Ryzhik, L.
14
2013
Asymptotics of the solutions of the stochastic lattice wave equation. Zbl 1283.35143
Komorowski, Tomasz; Olla, Stefano; Ryzhik, Lenya
5
2013
Biomixing by chemotaxis and enhancement of biological reactions. Zbl 1236.35190
Kiselev, Alexander; Ryzhik, Lenya
52
2012
Existence and non-existence of Fisher-KPP transition fronts. Zbl 1267.35108
Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya; Zlatoš, Andrej
38
2012
Biomixing by chemotaxis and efficiency of biological reactions: the critical reaction case. Zbl 1300.92015
Kiselev, Alexander; Ryzhik, Lenya
29
2012
A differential equations approach to \(l_{1}\)-minimization with applications to array imaging. Zbl 1267.65069
Moscoso, Miguel; Novikov, Alexei; Papanicolaou, George; Ryzhik, Lenya
4
2012
Fluctuations of solutions to Wigner equation with an Ornstein-Uhlenbeck potential. Zbl 1244.82073
Komorowski, Tomasz; Ryzhik, Lenya
4
2012
Evolution of particle separation in slowly decorrelating velocity fields. Zbl 1254.60042
Komorowski, Tomasz; Novikov, Alexei; Ryzhik, Lenya
1
2012
Asymptotics of the solutions of the random Schrödinger equation. Zbl 1231.35187
Bal, Guillaume; Komorowski, Tomasz; Ryzhik, Lenya
13
2011
A sharp bound on the \(L^2\) norm of the solution of a random elliptic difference equation. Zbl 1222.39017
Komorowski, Tomasz; Ryzhik, Lenya
2
2011
Kinetic limits for waves in a random medium. Zbl 1221.60095
Bal, Guillaume; Komorowski, Tomasz; Ryzhik, Lenya
20
2010
The explosion problem in a flow. Zbl 1204.35131
Berestycki, Henri; Kiselev, Alexander; Novikov, Alexei; Ryzhik, Lenya
11
2010
Exit times of diffusions with incompressible drift. Zbl 1387.35493
Iyer, Gautam; Novikov, Alexei; Ryzhik, Lenya; Zlatoš, Andrej
7
2010
Traveling fronts for the thermo-diffusive system with arbitrary Lewis numbers. Zbl 1200.35044
Hamel, François; Ryzhik, Lenya
7
2010
The non-local Fisher-KPP equation: travelling waves and steady states. Zbl 1195.35088
Berestycki, Henri; Nadin, Grégoire; Perthame, Benoit; Ryzhik, Lenya
98
2009
Traveling waves in a one-dimensional heterogeneous medium. Zbl 1178.35205
Nolen, James; Ryzhik, Lenya
41
2009
Stability of generalized transition fronts. Zbl 1173.35021
Mellet, Antoine; Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya
32
2009
Limit of fluctuations of solutions of Wigner equation. Zbl 1179.81056
Komorowski, Tomasz; Peszat, Szymon; Ryzhik, Lenya
5
2009
Diffusion and mixing in fluid flow. Zbl 1180.35084
Constantin, Peter; Kiselev, Alexander; Ryzhik, Lenya; Zlatoš, Andrej
69
2008
Traveling waves for the Keller-Segel system with Fisher birth terms. Zbl 1154.35459
Nadin, Gregoire; Perthame, Benoît; Ryzhik, Lenya
21
2008
Propagation and quenching in a reactive Burgers-Boussinesq system. Zbl 1155.35085
Constantin, Peter; Roquejoffre, Jean-Michel; Ryzhik, Lenya; Vladimirova, Natalia
4
2008
Relaxation in reactive flows. Zbl 1177.35119
Constantin, Peter; Novikov, Alexei; Ryzhik, Lenya
2
2008
KPP pulsating front speed-up by flows. Zbl 1152.35055
Ryzhik, Lenya; Zlatos, Andrej
26
2007
Self-averaging from lateral diversity in the Itô-Schrödinger equation. Zbl 1143.35390
Papanicolaou, George; Ryzhik, Lenya; Sølna, Knut
19
2007
Boundary layers and KPP fronts in a cellular flow. Zbl 1109.76064
Novikov, Alexei; Ryzhik, Lenya
19
2007
Passive tracer in a slowly decorrelating random flow with a large mean. Zbl 1125.70009
Komorowski, Tomasz; Ryzhik, Lenya
9
2007
On asymptotics of a tracer advected in a locally self-similar, correlated flow. Zbl 1151.76591
Komorowski, Tomasz; Ryzhik, Lenya
3
2007
Moderate dispersion in conservation laws with convex fluxes. Zbl 1141.35322
Perthame, Benoît; Ryzhik, Lenya
2
2007
Quenching of reaction by cellular flows. Zbl 1097.35077
Fannjiang, A.; Kiselev, A.; Ryzhik, L.
13
2006
Non-planar fronts in Boussinesq reactive flows. Zbl 1157.35469
Berestycki, Henri; Constantin, Peter; Ryzhik, Lenya
11
2006
Travelling waves in two-dimensional reactive Boussinesq systems with no-slip boundary conditions. Zbl 1106.76076
Constantin, Peter; Lewicka, Marta; Ryzhik, Lenya
10
2006
Diffusion in a weakly random Hamiltonian flow. Zbl 1170.37327
Komorowski, Tomasz; Ryzhik, Lenya
10
2006
Travelling fronts in porous media combustion: existence and a singular limit. Zbl 1149.76683
Gordon, Peter; Ryzhik, Lenya
4
2006
Existence of pulsating waves in a model of flames in sprays. Zbl 1110.35007
Constantin, Peter; Domelevo, Komla; Roquejoffre, Jean-Michel; Ryzhik, Lenya
3
2006
Flame capturing with an advection–reaction–diffusion model. Zbl 1105.80018
Vladimirova, Natalia; Weirs, V. Gregory; Ryzhik, Lenya
2
2006
Exponential decay for the fragmentation or cell-division equation. Zbl 1072.35195
Perthame, Benoît; Ryzhik, Lenya
52
2005
Quenching and propagation in KPP reaction-diffusion equations with a heat loss. Zbl 1087.35051
Berestycki, Henri; Hamel, Francois; Kiselev, Alexander; Ryzhik, Lenya
25
2005
Boundary layers for cellular flows at high Péclet numbers. Zbl 1112.76023
Novikov, Alexei; Papanicolaou, George; Ryzhik, Lenya
11
2005
Stability of time reversed waves in changing media. Zbl 1184.35187
Bal, Guillaume; Ryzhik, Lenya
6
2005
Non-adiabatic KPP fronts with an arbitrary Lewis number. Zbl 1083.35046
Hamel, François; Ryzhik, Lenya
5
2005
The KPP system in a periodic flow with a heat loss. Zbl 1117.80003
Gordon, Peter V.; Ryzhik, Lenya; Vladimirova, Natalia
1
2005
Statistical stability in time reversal. Zbl 1065.35058
Papanicolaou, George; Ryzhik, Leonid; Solna, Knut
25
2004
The quantum scattering limit for a regularized Wigner equation. Zbl 1092.81026
Perthame, Benoît; Ryzhik, Lenya
2
2004
Time splitting for the Liouville equation in a random medium. Zbl 1082.65093
Bal, Guillaume; Ryzhik, Lenya
2
2004
Time splitting for wave equations in random media. Zbl 1130.74393
Bal, Guillaume; Ryzhik, Lenya
2
2004
Self-averaging of Wigner transforms in random media. Zbl 1037.35108
Bal, Guillaume; Komorowski, Tomasz; Ryzhik, Lenya
20
2003
Time reversal and refocusing in random media. Zbl 1126.76360
Bal, Guillaume; Ryzhik, Leonid
18
2003
Flame enhancement and quenching in fluid flows. Zbl 1068.76570
Vladimirova, Natalia; Constantin, Peter; Kiselev, Alexander; Ruchayskiy, Oleg; Ryzhik, Leonid
15
2003
Fronts in reactive convection: Bounds, stability, and instability. Zbl 1072.76068
Constantin, Peter; Kiselev, Alexander; Ryzhik, Lenya
6
2003
Stability in a nonlinear population maturation model. Zbl 1020.92025
Mischler, Stéphane; Perthame, Benoît; Ryzhik, Lenya
30
2002
Radiative transport limit for the random Schrödinger equation. Zbl 0999.60061
Bal, Guillaume; Papanicolaou, George; Ryzhik, Leonid
30
2002
Self-averaging in time reversal for the parabolic wave equation. Zbl 1020.35126
Bal, Guillaume; Papanicolaou, George; Ryzhik, Leonid
27
2002
The parabolic wave approximation and time reversal. Zbl 1027.76049
Papanicolaou, George; Ryzhik, Leonid; Sølna, Knut
3
2002
Wave transport for a scalar model of the love waves. Zbl 1163.74314
Bal, Guillaume; Ryzhik, Leonid
2
2002
Enhancement of the traveling front speeds in reaction-diffusion equations with advection. Zbl 1002.35069
Kiselev, Alexander; Ryzhik, Leonid
40
2001
Quenching of flames by fluid advection. Zbl 1032.35087
Constantin, Peter; Kiselev, Alexander; Ryzhik, Leonid
19
2001
Time reversal for classical waves in random media. Zbl 1033.74022
Bal, Guillaume; Ryzhik, Leonid
6
2001
An upper bound for the bulk burning rate for systems. Zbl 0988.35080
Kiselev, Alexander; Ryzhik, Leonid
3
2001
Radiative transfer of sound waves in a random flow: Turbulent scattering, straining, and mode-coupling. Zbl 0994.76091
Fannjiang, Albert; Ryzhik, Leonid
2
2001
Bulk burning rate in passive-reactive diffusion. Zbl 0979.76093
Constantin, Peter; Kiselev, Alexander; Oberman, Adam; Ryzhik, Leonid
46
2000
Diffusion approximation of radiative transfer problems with interfaces. Zbl 0976.45008
Bal, Guillaume; Ryzhik, Leonid
11
2000
Probabilistic theory of transport processes with polarization. Zbl 0963.60081
Bal, Guillaume; Papanicolaou, George; Ryzhik, Leonid
4
2000
Radiative transport in a periodic structure. Zbl 0964.82048
Bal, Guillaume; Fannjiang, Albert; Papanicolaou, George; Ryzhik, Leonid
15
1999
Transport theory for acoustic waves with reflection and transmission at interfaces. Zbl 1067.76605
Bal, Guillaume; Keller, Joseph B.; Papanicolaou, George; Ryzhik, Leonid
8
1999
Waves and transport. Zbl 0930.35172
Papanicolaou, George; Ryzhik, Leonid
6
1999
Evolution of trajectory correlations in steady random flows. Zbl 0892.60031
Fannjiang, Albert; Ryzhik, Leonid; Papanicolaou, George
2
1998
Transport equations for waves in a half space. Zbl 0895.35010
Ryzhik, Leonid; Papanicolaou, George C.; Keller, Joseph B.
8
1997
Transport equations for elastic and other waves in random media. Zbl 0954.74533
Ryzhik, Leonid; Papanicolaou, George; Keller, Joseph B.
86
1996
all top 5

Cited by 1,037 Authors

48 Ryzhik, Lenya
28 Hamel, François
26 Bal, Guillaume
24 Komorowski, Tomasz
22 Garnier, Josselin
20 Perthame, Benoît
20 Shen, Wenxian
19 Winkler, Michael
19 Zlatoš, Andrej
14 Bedrossian, Jacob
14 Berestycki, Henri
14 Sølna, Knut
14 Volpert, Vitaly A.
13 Jin, Shi
13 Pinaud, Olivier
13 Trofimchuk, Sergei I.
12 Kiselev, Alexander A.
11 Gu, Yu
11 Nadin, Grégoire
10 Ducrot, Arnaud
10 Novikov, Alexei
10 Roquejoffre, Jean-Michel
10 Xin, Jack X.
9 Doumic, Marie
9 Gabriel, Pierre
9 Henderson, Christopher
9 Li, Wan-Tong
9 Papanicolaou, George C.
9 Wang, Zhi Cheng
8 Nolen, James
7 Alfaro, Matthieu
7 Coti Zelati, Michele
7 Giletti, Thomas
7 Han, Bang-Sheng
7 Liu, NaiWei
7 Michel, Philippe
7 Olla, Stefano
7 Shvydkoy, Roman V.
7 Vougalter, Vitali
6 Berestycki, Julien
6 Constantin, Peter
6 Elgindi, Tarek Mohamed
6 Gomez, Christophe
6 Guo, Hongjun
6 Lassas, Matti
6 Liu, Hailiang
6 Masmoudi, Nader
6 Rodriguez, Nancy Y.
6 Roques, Lionel J.
6 Rossi, Luca
6 Shen, Zhongwei
6 Tadmor, Eitan
6 Zhou, Maolin
5 Bellomo, Nicola
5 Borcea, Liliana
5 Bouin, Emeric
5 Brunet, Éric
5 Calvez, Vincent
5 Fu, Sheng-Chen
5 Goudon, Thierry
5 Helin, Tapio
5 Iyer, Gautam
5 Koralov, Leonid B.
5 Raoul, Gaël
5 Salako, Rachidi Bolaji
5 Sheng, WeiJie
5 Tsai, Je-Chiang
5 van Brunt, Bruce
5 Vanneste, Jacques
5 Yu, Yifeng
4 Athanassoulis, Agisillaos
4 Bertozzi, Andrea Louise
4 Chen, Shanshan
4 Chen, Xinfu
4 Coville, Jerome
4 Du, Yihong
4 Dunlap, Alexander
4 Franke, Brice
4 Girardin, Léo
4 Givoli, Dan
4 Gordon, Peter V.
4 Hasík, Karel
4 He, Siming
4 Kang, Kyungkeun
4 Kühn, Christian
4 Lee, Jihoon
4 Liu, Ji
4 Lou, Bendong
4 Matano, Hiroshi
4 Mischler, Stéphane
4 Moscoso, Miguel
4 Nadirashvili, Nikolai S.
4 Poupaud, Frédéric
4 Soler, Juan S.
4 Spohn, Herbert
4 Thiffeault, Jean-Luc
4 Tkachov, Pasha
4 Tumuluri, Suman Kumar
4 Turkel, Eli L.
4 Vicol, Vlad C.
...and 937 more Authors
all top 5

Cited in 174 Serials

57 Journal of Differential Equations
38 Archive for Rational Mechanics and Analysis
29 Communications in Mathematical Physics
26 Nonlinearity
26 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
25 SIAM Journal on Mathematical Analysis
23 Journal of Computational Physics
21 Journal de Mathématiques Pures et Appliquées. Neuvième Série
20 Wave Motion
20 Discrete and Continuous Dynamical Systems
20 Discrete and Continuous Dynamical Systems. Series B
19 Communications in Partial Differential Equations
18 Journal of Mathematical Analysis and Applications
17 Journal of Statistical Physics
16 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
15 Journal of Mathematical Biology
15 Journal of Dynamics and Differential Equations
14 Physica D
13 Journal of Mathematical Physics
13 Transactions of the American Mathematical Society
12 Journal of Functional Analysis
12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
11 ZAMP. Zeitschrift für angewandte Mathematik und Physik
11 Comptes Rendus. Mathématique. Académie des Sciences, Paris
10 Calculus of Variations and Partial Differential Equations
10 Nonlinear Analysis. Real World Applications
10 Multiscale Modeling & Simulation
8 Journal of Fluid Mechanics
8 Applied Mathematics Letters
8 SIAM Journal on Applied Mathematics
8 Kinetic and Related Models
7 Communications on Pure and Applied Mathematics
7 The Annals of Probability
6 Probability Theory and Related Fields
6 Journal of Nonlinear Science
6 NoDEA. Nonlinear Differential Equations and Applications
6 Journal of Evolution Equations
6 Mathematical Modelling of Natural Phenomena
5 Mathematical Methods in the Applied Sciences
5 Bulletin of Mathematical Biology
5 Advances in Mathematics
5 Acta Applicandae Mathematicae
5 European Journal of Applied Mathematics
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Stochastics and Dynamics
5 SIAM Journal on Imaging Sciences
5 Annals of PDE
4 Mathematical Biosciences
4 Proceedings of the American Mathematical Society
4 Journal of the American Mathematical Society
3 Applicable Analysis
3 Quarterly of Applied Mathematics
3 Chinese Annals of Mathematics. Series B
3 Mathematical and Computer Modelling
3 The Annals of Applied Probability
3 Stochastic Processes and their Applications
3 Bulletin of the American Mathematical Society. New Series
3 Journal of the European Mathematical Society (JEMS)
3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
3 Combustion Theory and Modelling
3 The ANZIAM Journal
3 Mathematical Biosciences and Engineering
3 Journal of Biological Dynamics
3 Networks and Heterogeneous Media
3 Inverse Problems and Imaging
3 Science China. Mathematics
3 Stochastic and Partial Differential Equations. Analysis and Computations
3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
3 Journal of Elliptic and Parabolic Equations
2 Computers & Mathematics with Applications
2 Computer Methods in Applied Mechanics and Engineering
2 Inverse Problems
2 Journal of Engineering Mathematics
2 Transport Theory and Statistical Physics
2 Applied Mathematics and Computation
2 International Journal for Numerical Methods in Engineering
2 Mathematische Annalen
2 Memoirs of the American Mathematical Society
2 Statistics & Probability Letters
2 Acta Mathematicae Applicatae Sinica. English Series
2 Japan Journal of Industrial and Applied Mathematics
2 Applied Mathematical Modelling
2 Potential Analysis
2 Physics of Fluids
2 Applied and Computational Harmonic Analysis
2 Electronic Journal of Probability
2 Bernoulli
2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
2 Abstract and Applied Analysis
2 Chaos
2 Journal of Mathematical Fluid Mechanics
2 Communications in Contemporary Mathematics
2 Communications on Pure and Applied Analysis
2 Milan Journal of Mathematics
2 SIAM Journal on Applied Dynamical Systems
2 Analysis and Applications (Singapore)
2 Boundary Value Problems
2 Waves in Random and Complex Media
2 Analysis & PDE
...and 74 more Serials
all top 5

Cited in 35 Fields

687 Partial differential equations (35-XX)
263 Biology and other natural sciences (92-XX)
158 Fluid mechanics (76-XX)
121 Probability theory and stochastic processes (60-XX)
73 Statistical mechanics, structure of matter (82-XX)
58 Ordinary differential equations (34-XX)
56 Numerical analysis (65-XX)
53 Integral equations (45-XX)
41 Dynamical systems and ergodic theory (37-XX)
40 Mechanics of deformable solids (74-XX)
35 Operator theory (47-XX)
35 Classical thermodynamics, heat transfer (80-XX)
34 Optics, electromagnetic theory (78-XX)
33 Quantum theory (81-XX)
20 Geophysics (86-XX)
17 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
12 Global analysis, analysis on manifolds (58-XX)
12 Mechanics of particles and systems (70-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
8 Statistics (62-XX)
7 Functional analysis (46-XX)
6 Real functions (26-XX)
6 Systems theory; control (93-XX)
6 Information and communication theory, circuits (94-XX)
4 Operations research, mathematical programming (90-XX)
3 Integral transforms, operational calculus (44-XX)
2 Astronomy and astrophysics (85-XX)
1 General and overarching topics; collections (00-XX)
1 Potential theory (31-XX)
1 Approximations and expansions (41-XX)
1 Abstract harmonic analysis (43-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)
1 Computer science (68-XX)

Citations by Year