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Author ID: ryzhik.lenya Recent zbMATH articles by "Ryzhik, Lenya"
Published as: Ryzhik, Lenya; Ryzhik, Leonid; Ryzhik, L.; Ryzhik, L. V.
Homepage: http://math.stanford.edu/~ryzhik/
External Links: MGP · Wikidata · Math-Net.Ru · dblp
Videos: carmin.tv
all top 5

Serials

15 Nonlinearity
13 Archive for Rational Mechanics and Analysis
9 Communications in Mathematical Sciences
7 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
3 Journal of the European Mathematical Society (JEMS)
2 Journal of Mathematical Physics
2 Journal of Statistical Physics
2 Geometric and Functional Analysis. GAFA
2 SIAM Journal on Mathematical Analysis
2 Annals of Mathematics. Second Series
2 Combustion Theory and Modelling
2 Stochastics and Dynamics
1 Inverse Problems
1 Israel Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Theoretical and Mathematical Physics
1 Advances in Mathematics
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

109 Publications have been cited 2,354 times in 1,487 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
154
2009
Diffusion and mixing in fluid flow. Zbl 1180.35084
Constantin, Peter; Kiselev, Alexander; Ryzhik, Lenya; Zlatoš, Andrej
145
2008
Transport equations for elastic and other waves in random media. Zbl 0954.74533
Ryzhik, Leonid; Papanicolaou, George; Keller, Joseph B.
125
1996
Biomixing by chemotaxis and enhancement of biological reactions. Zbl 1236.35190
Kiselev, Alexander; Ryzhik, Lenya
101
2012
A short proof of the logarithmic Bramson correction in Fisher-KPP equations. Zbl 1275.35067
Hamel, François; Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya
82
2013
Finite time singularity for the modified SQG patch equation. Zbl 1360.35159
Kiselev, Alexander; Ryzhik, Lenya; Yao, Yao; Zlatoš, Andrej
79
2016
Exponential decay for the fragmentation or cell-division equation. Zbl 1072.35195
Perthame, Benoît; Ryzhik, Lenya
70
2005
Biomixing by chemotaxis and efficiency of biological reactions: the critical reaction case. Zbl 1300.92015
Kiselev, Alexander; Ryzhik, Lenya
67
2012
Traveling waves in a one-dimensional heterogeneous medium. Zbl 1178.35205
Nolen, James; Ryzhik, Lenya
58
2009
On the nonlocal Fisher-KPP equation: steady states, spreading speed and global bounds. Zbl 1317.35122
Hamel, François; Ryzhik, Lenya
57
2014
Bulk burning rate in passive-reactive diffusion. Zbl 0979.76093
Constantin, Peter; Kiselev, Alexander; Oberman, Adam; Ryzhik, Leonid
56
2000
Existence and non-existence of Fisher-KPP transition fronts. Zbl 1267.35108
Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya; Zlatoš, Andrej
56
2012
Global regularity for the fractional Euler alignment system. Zbl 1390.35370
Do, Tam; Kiselev, Alexander; Ryzhik, Lenya; Tan, Changhui
54
2018
Enhancement of the traveling front speeds in reaction-diffusion equations with advection. Zbl 1002.35069
Kiselev, Alexander; Ryzhik, Leonid
43
2001
Traveling waves for the Keller-Segel system with Fisher birth terms. Zbl 1154.35459
Nadin, Gregoire; Perthame, Benoît; Ryzhik, Lenya
38
2008
Stability of generalized transition fronts. Zbl 1173.35021
Mellet, Antoine; Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya
38
2009
The logarithmic delay of KPP fronts in a periodic medium. Zbl 1338.35243
Hamel, François; Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya
36
2016
KPP pulsating front speed-up by flows. Zbl 1152.35055
Ryzhik, Lenya; Zlatos, Andrej
35
2007
Radiative transport limit for the random Schrödinger equation. Zbl 0999.60061
Bal, Guillaume; Papanicolaou, George; Ryzhik, Leonid
34
2002
Kinetic limits for waves in a random medium. Zbl 1221.60095
Bal, Guillaume; Komorowski, Tomasz; Ryzhik, Lenya
34
2010
Stability in a nonlinear population maturation model. Zbl 1020.92025
Mischler, Stéphane; Perthame, Benoît; Ryzhik, Lenya
33
2002
The Edwards-Wilkinson limit of the random heat equation in dimensions three and higher. Zbl 1400.82131
Gu, Yu; Ryzhik, Lenya; Zeitouni, Ofer
33
2018
Quenching and propagation in KPP reaction-diffusion equations with a heat loss. Zbl 1087.35051
Berestycki, Henri; Hamel, Francois; Kiselev, Alexander; Ryzhik, Lenya
31
2005
Traveling wave solutions in a reaction-diffusion model for criminal activity. Zbl 1288.35160
Berestycki, H.; Rodríguez, N.; Ryzhik, L.
30
2013
Statistical stability in time reversal. Zbl 1065.35058
Papanicolaou, George; Ryzhik, Leonid; Solna, Knut
29
2004
Wave-like solutions for nonlocal reaction-diffusion equations: a toy model. Zbl 1280.34066
Nadin, G.; Rossi, L.; Ryzhik, L.; Perthame, B.
29
2013
Fluctuations of the solutions to the KPZ equation in dimensions three and higher. Zbl 1445.35345
Dunlap, Alexander; Gu, Yu; Ryzhik, Lenya; Zeitouni, Ofer
29
2020
Self-averaging in time reversal for the parabolic wave equation. Zbl 1020.35126
Bal, Guillaume; Papanicolaou, George; Ryzhik, Leonid
27
2002
Super-linear spreading in local and non-local cane toads equations. Zbl 1375.35565
Bouin, Emeric; Henderson, Christopher; Ryzhik, Lenya
27
2017
Quenching of flames by fluid advection. Zbl 1032.35087
Constantin, Peter; Kiselev, Alexander; Ryzhik, Leonid
26
2001
Quenching of reaction by cellular flows. Zbl 1097.35077
Fannjiang, A.; Kiselev, A.; Ryzhik, L.
24
2006
Refined long-time asymptotics for Fisher-KPP fronts. Zbl 1423.35208
Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya
24
2019
Boundary layers and KPP fronts in a cellular flow. Zbl 1109.76064
Novikov, Alexei; Ryzhik, Lenya
23
2007
Self-averaging from lateral diversity in the Itô-Schrödinger equation. Zbl 1143.35390
Papanicolaou, George; Ryzhik, Lenya; Sølna, Knut
23
2007
Convergence to a single wave in the Fisher-KPP equation. Zbl 1365.35074
Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya
23
2017
Time reversal and refocusing in random media. Zbl 1126.76360
Bal, Guillaume; Ryzhik, Leonid
22
2003
The bramson logarithmic delay in the cane toads equations. Zbl 1370.35175
Bouin, Emeric; Henderson, Christopher; Ryzhik, Lenya
22
2017
Self-averaging of Wigner transforms in random media. Zbl 1037.35108
Bal, Guillaume; Komorowski, Tomasz; Ryzhik, Lenya
21
2003
Radiative transport in a periodic structure. Zbl 0964.82048
Bal, Guillaume; Fannjiang, Albert; Papanicolaou, George; Ryzhik, Leonid
19
1999
The explosion problem in a flow. Zbl 1204.35131
Berestycki, Henri; Kiselev, Alexander; Novikov, Alexei; Ryzhik, Lenya
19
2010
Flame enhancement and quenching in fluid flows. Zbl 1068.76570
Vladimirova, Natalia; Constantin, Peter; Kiselev, Alexander; Ruchayskiy, Oleg; Ryzhik, Leonid
19
2003
Boundary layers for cellular flows at high Péclet numbers. Zbl 1112.76023
Novikov, Alexei; Papanicolaou, George; Ryzhik, Lenya
18
2005
The Bramson delay in the non-local Fisher-KPP equation. Zbl 1436.35239
Bouin, Emeric; Henderson, Christopher; Ryzhik, Lenya
18
2020
Asymptotics of the solutions of the random Schrödinger equation. Zbl 1231.35187
Bal, Guillaume; Komorowski, Tomasz; Ryzhik, Lenya
17
2011
Non-planar fronts in Boussinesq reactive flows. Zbl 1157.35469
Berestycki, Henri; Constantin, Peter; Ryzhik, Lenya
16
2006
Stationary solutions to the stochastic Burgers equation on the line. Zbl 1470.60180
Dunlap, Alexander; Graham, Cole; Ryzhik, Lenya
16
2021
Transition waves for a class of space-time dependent monostable equations. Zbl 1305.35092
Rossi, Luca; Ryzhik, Lenya
15
2014
The speed of a random front for stochastic reaction-diffusion equations with strong noise. Zbl 1466.35005
Mueller, Carl; Mytnik, Leonid; Ryzhik, Lenya
15
2021
Travelling waves in two-dimensional reactive Boussinesq systems with no-slip boundary conditions. Zbl 1106.76076
Constantin, Peter; Lewicka, Marta; Ryzhik, Lenya
13
2006
Diffusion in a weakly random Hamiltonian flow. Zbl 1170.37327
Komorowski, Tomasz; Ryzhik, Lenya
12
2006
Transport theory for acoustic waves with reflection and transmission at interfaces. Zbl 1067.76605
Bal, Guillaume; Keller, Joseph B.; Papanicolaou, George; Ryzhik, Leonid
12
1999
Anisotropic interactions in a first-order aggregation model. Zbl 1332.34085
Evers, Joep H. M.; Fetecau, Razvan C.; Ryzhik, Lenya
12
2015
Exit times of diffusions with incompressible drift. Zbl 1387.35493
Iyer, Gautam; Novikov, Alexei; Ryzhik, Lenya; Zlatoš, Andrej
11
2010
Diffusion approximation of radiative transfer problems with interfaces. Zbl 0976.45008
Bal, Guillaume; Ryzhik, Leonid
11
2000
The Harnack inequality for second-order elliptic equations with divergence-free drifts. Zbl 1308.35039
Ignatova, Mihaela; Kukavica, Igor; Ryzhik, Lenya
11
2014
Transport equations for waves in a half space. Zbl 0895.35010
Ryzhik, Leonid; Papanicolaou, George C.; Keller, Joseph B.
10
1997
Power-like delay in time inhomogeneous Fisher-KPP equations. Zbl 1327.35184
Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya
10
2015
The random heat equation in dimensions three and higher: the homogenization viewpoint. Zbl 1481.35031
Dunlap, Alexander; Gu, Yu; Ryzhik, Lenya; Zeitouni, Ofer
10
2021
Passive tracer in a slowly decorrelating random flow with a large mean. Zbl 1125.70009
Komorowski, Tomasz; Ryzhik, Lenya
9
2007
Exploring the effects of social preference, economic disparity, and heterogeneous environments on segregation. Zbl 1336.35194
Rodríguez, Nancy; Ryzhik, Lenya
9
2016
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
9
2020
Traveling fronts for the thermo-diffusive system with arbitrary Lewis numbers. Zbl 1200.35044
Hamel, François; Ryzhik, Lenya
8
2010
Time reversal for classical waves in random media. Zbl 1033.74022
Bal, Guillaume; Ryzhik, Leonid
8
2001
Propagation and quenching in a reactive Burgers-Boussinesq system. Zbl 1155.35085
Constantin, Peter; Roquejoffre, Jean-Michel; Ryzhik, Lenya; Vladimirova, Natalia
8
2008
Fronts in reactive convection: Bounds, stability, and instability. Zbl 1072.76068
Constantin, Peter; Kiselev, Alexander; Ryzhik, Lenya
8
2003
Fractional diffusion limit for a kinetic equation with an interface. Zbl 1452.35212
Komorowski, Tomasz; Olla, Stefano; Ryzhik, Lenya
8
2020
The Harnack inequality for second-order parabolic equations with divergence-free drifts of low regularity. Zbl 1343.35047
Ignatova, Mihaela; Kukavica, Igor; Ryzhik, Lenya
8
2016
Stability of time reversed waves in changing media. Zbl 1184.35187
Bal, Guillaume; Ryzhik, Lenya
7
2005
Waves and transport. Zbl 0930.35172
Papanicolaou, George; Ryzhik, Leonid
7
1999
Hypoelliptic estimates in radiative transfer. Zbl 1342.35206
Gomez, Christophe; Pinaud, Olivier; Ryzhik, Lenya
7
2016
Limit of fluctuations of solutions of Wigner equation. Zbl 1179.81056
Komorowski, Tomasz; Peszat, Szymon; Ryzhik, Lenya
6
2009
Probabilistic theory of transport processes with polarization. Zbl 0963.60081
Bal, Guillaume; Papanicolaou, George; Ryzhik, Leonid
6
2000
Asymptotics of the solutions of the stochastic lattice wave equation. Zbl 1283.35143
Komorowski, Tomasz; Olla, Stefano; Ryzhik, Lenya
5
2013
From homogenization to averaging in cellular flows. Zbl 1302.35039
Iyer, Gautam; Komorowski, Tomasz; Novikov, Alexei; Ryzhik, Lenya
5
2014
A differential equations approach to \(l_{1}\)-minimization with applications to array imaging. Zbl 1267.65069
Moscoso, Miguel; Novikov, Alexei; Papanicolaou, George; Ryzhik, Lenya
5
2012
Travelling fronts in porous media combustion: existence and a singular limit. Zbl 1149.76683
Gordon, Peter; Ryzhik, Lenya
5
2006
Non-adiabatic KPP fronts with an arbitrary Lewis number. Zbl 1083.35046
Hamel, François; Ryzhik, Lenya
5
2005
Fluctuations of solutions to Wigner equation with an Ornstein-Uhlenbeck potential. Zbl 1244.82073
Komorowski, Tomasz; Ryzhik, Lenya
5
2012
The weak coupling limit for the random Schrödinger equation: the average wave function. Zbl 1384.35117
Chen, Thomas; Komorowski, Tomasz; Ryzhik, Lenya
5
2018
Radiative transfer of sound waves in a random flow: Turbulent scattering, straining, and mode-coupling. Zbl 0994.76091
Fannjiang, Albert; Ryzhik, Leonid
4
2001
Relaxation in reactive flows. Zbl 1177.35119
Constantin, Peter; Novikov, Alexei; Ryzhik, Lenya
4
2008
Moderate dispersion in conservation laws with convex fluxes. Zbl 1141.35322
Perthame, Benoît; Ryzhik, Lenya
4
2007
Existence of pulsating waves in a model of flames in sprays. Zbl 1110.35007
Constantin, Peter; Domelevo, Komla; Roquejoffre, Jean-Michel; Ryzhik, Lenya
4
2006
Wave transport for a scalar model of the love waves. Zbl 1163.74314
Bal, Guillaume; Ryzhik, Leonid
4
2002
Fisher-KPP equation with small data and the extremal process of branching Brownian motion. Zbl 1481.60182
Mytnik, Leonid; Roquejoffre, Jean-Michel; Ryzhik, Lenya
4
2022
The Schrödinger equation with spatial white noise: the average wave function. Zbl 1384.35105
Gu, Yu; Komorowski, Tomasz; Ryzhik, Lenya
4
2018
The random Schrödinger equation: homogenization in time-dependent potentials. Zbl 1339.60079
Gu, Yu; Ryzhik, Lenya
4
2016
The quantum scattering limit for a regularized Wigner equation. Zbl 1092.81026
Perthame, Benoît; Ryzhik, Lenya
3
2004
On asymptotics of a tracer advected in a locally self-similar, correlated flow. Zbl 1151.76591
Komorowski, Tomasz; Ryzhik, Lenya
3
2007
Homogenization driven by a fractional Brownian motion: the shear layer case. Zbl 1320.35046
Komorowski, Tomasz; Novikov, Alexei; Ryzhik, Lenya
3
2014
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
Traveling waves in a mean field learning model. Zbl 1469.91033
Papanicolaou, George; Ryzhik, Lenya; Velcheva, Katerina
3
2021
Quantitative steepness, semi-FKPP reactions, and pushmi-pullyu fronts. Zbl 1536.35176
An, Jing; Henderson, Christopher; Ryzhik, Lenya
3
2023
Viscous shock solutions to the stochastic Burgers equation. Zbl 1481.35275
Dunlap, Alexander; Ryzhik, Lenya
3
2021
Evolution of particle separation in slowly decorrelating velocity fields. Zbl 1254.60042
Komorowski, Tomasz; Novikov, Alexei; Ryzhik, Lenya
2
2012
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
The stochastic acceleration problem in two dimensions. Zbl 1140.60005
Komorowski, Tomasz; Ryzhik, Lenya
2
2006
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
Quantitative steepness, semi-FKPP reactions, and pushmi-pullyu fronts. Zbl 1536.35176
An, Jing; Henderson, Christopher; Ryzhik, Lenya
3
2023
Chemotaxis and reactions in biology. Zbl 1519.92032
Kiselev, Alexander; Nazarov, Fedor; Ryzhik, Lenya; Yao, Yao
1
2023
Invariant measures for stochastic conservation laws on the line. Zbl 1529.37043
Drivas, Theodore D.; Dunlap, Alexander; Graham, Cole; La, Joonhyun; Ryzhik, Lenya
1
2023
Fisher-KPP equation with small data and the extremal process of branching Brownian motion. Zbl 1481.60182
Mytnik, Leonid; Roquejoffre, Jean-Michel; Ryzhik, Lenya
4
2022
The distance between the two BBM leaders. Zbl 1484.35262
Berestycki, Julien; Brunet, Éric; Graham, Cole; Mytnik, Leonid; Roquejoffre, Jean-Michel; Ryzhik, Lenya
1
2022
Stationary solutions to the stochastic Burgers equation on the line. Zbl 1470.60180
Dunlap, Alexander; Graham, Cole; Ryzhik, Lenya
16
2021
The speed of a random front for stochastic reaction-diffusion equations with strong noise. Zbl 1466.35005
Mueller, Carl; Mytnik, Leonid; Ryzhik, Lenya
15
2021
The random heat equation in dimensions three and higher: the homogenization viewpoint. Zbl 1481.35031
Dunlap, Alexander; Gu, Yu; Ryzhik, Lenya; Zeitouni, Ofer
10
2021
Traveling waves in a mean field learning model. Zbl 1469.91033
Papanicolaou, George; Ryzhik, Lenya; Velcheva, Katerina
3
2021
Viscous shock solutions to the stochastic Burgers equation. Zbl 1481.35275
Dunlap, Alexander; Ryzhik, Lenya
3
2021
Fluctuations of the solutions to the KPZ equation in dimensions three and higher. Zbl 1445.35345
Dunlap, Alexander; Gu, Yu; Ryzhik, Lenya; Zeitouni, Ofer
29
2020
The Bramson delay in the non-local Fisher-KPP equation. Zbl 1436.35239
Bouin, Emeric; Henderson, Christopher; Ryzhik, Lenya
18
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
9
2020
Fractional diffusion limit for a kinetic equation with an interface. Zbl 1452.35212
Komorowski, Tomasz; Olla, Stefano; Ryzhik, Lenya
8
2020
Global well-posedness for the Euler alignment system with mildly singular interactions. Zbl 1445.35239
An, Jing; Ryzhik, Lenya
1
2020
Refined long-time asymptotics for Fisher-KPP fronts. Zbl 1423.35208
Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya
24
2019
Global regularity for the fractional Euler alignment system. Zbl 1390.35370
Do, Tam; Kiselev, Alexander; Ryzhik, Lenya; Tan, Changhui
54
2018
The Edwards-Wilkinson limit of the random heat equation in dimensions three and higher. Zbl 1400.82131
Gu, Yu; Ryzhik, Lenya; Zeitouni, Ofer
33
2018
The weak coupling limit for the random Schrödinger equation: the average wave function. Zbl 1384.35117
Chen, Thomas; Komorowski, Tomasz; Ryzhik, Lenya
5
2018
The Schrödinger equation with spatial white noise: the average wave function. Zbl 1384.35105
Gu, Yu; Komorowski, Tomasz; Ryzhik, Lenya
4
2018
Super-linear spreading in local and non-local cane toads equations. Zbl 1375.35565
Bouin, Emeric; Henderson, Christopher; Ryzhik, Lenya
27
2017
Convergence to a single wave in the Fisher-KPP equation. Zbl 1365.35074
Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya
23
2017
The bramson logarithmic delay in the cane toads equations. Zbl 1370.35175
Bouin, Emeric; Henderson, Christopher; Ryzhik, Lenya
22
2017
The random Schrödinger equation: slowly decorrelating time-dependent potentials. Zbl 1367.35139
Gu, Yu; Ryzhik, Lenya
2
2017
Finite time singularity for the modified SQG patch equation. Zbl 1360.35159
Kiselev, Alexander; Ryzhik, Lenya; Yao, Yao; Zlatoš, Andrej
79
2016
The logarithmic delay of KPP fronts in a periodic medium. Zbl 1338.35243
Hamel, François; Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya
36
2016
Exploring the effects of social preference, economic disparity, and heterogeneous environments on segregation. Zbl 1336.35194
Rodríguez, Nancy; Ryzhik, Lenya
9
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
8
2016
Hypoelliptic estimates in radiative transfer. Zbl 1342.35206
Gomez, Christophe; Pinaud, Olivier; Ryzhik, Lenya
7
2016
The random Schrödinger equation: homogenization in time-dependent potentials. Zbl 1339.60079
Gu, Yu; Ryzhik, Lenya
4
2016
Anisotropic interactions in a first-order aggregation model. Zbl 1332.34085
Evers, Joep H. M.; Fetecau, Razvan C.; Ryzhik, Lenya
12
2015
Power-like delay in time inhomogeneous Fisher-KPP equations. Zbl 1327.35184
Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya
10
2015
On the nonlocal Fisher-KPP equation: steady states, spreading speed and global bounds. Zbl 1317.35122
Hamel, François; Ryzhik, Lenya
57
2014
Transition waves for a class of space-time dependent monostable equations. Zbl 1305.35092
Rossi, Luca; Ryzhik, Lenya
15
2014
The Harnack inequality for second-order elliptic equations with divergence-free drifts. Zbl 1308.35039
Ignatova, Mihaela; Kukavica, Igor; Ryzhik, Lenya
11
2014
From homogenization to averaging in cellular flows. Zbl 1302.35039
Iyer, Gautam; Komorowski, Tomasz; Novikov, Alexei; Ryzhik, Lenya
5
2014
Homogenization driven by a fractional Brownian motion: the shear layer case. Zbl 1320.35046
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
82
2013
Traveling wave solutions in a reaction-diffusion model for criminal activity. Zbl 1288.35160
Berestycki, H.; Rodríguez, N.; Ryzhik, L.
30
2013
Wave-like solutions for nonlocal reaction-diffusion equations: a toy model. Zbl 1280.34066
Nadin, G.; Rossi, L.; Ryzhik, L.; Perthame, B.
29
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
101
2012
Biomixing by chemotaxis and efficiency of biological reactions: the critical reaction case. Zbl 1300.92015
Kiselev, Alexander; Ryzhik, Lenya
67
2012
Existence and non-existence of Fisher-KPP transition fronts. Zbl 1267.35108
Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya; Zlatoš, Andrej
56
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
5
2012
Fluctuations of solutions to Wigner equation with an Ornstein-Uhlenbeck potential. Zbl 1244.82073
Komorowski, Tomasz; Ryzhik, Lenya
5
2012
Evolution of particle separation in slowly decorrelating velocity fields. Zbl 1254.60042
Komorowski, Tomasz; Novikov, Alexei; Ryzhik, Lenya
2
2012
Asymptotics of the solutions of the random Schrödinger equation. Zbl 1231.35187
Bal, Guillaume; Komorowski, Tomasz; Ryzhik, Lenya
17
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
34
2010
The explosion problem in a flow. Zbl 1204.35131
Berestycki, Henri; Kiselev, Alexander; Novikov, Alexei; Ryzhik, Lenya
19
2010
Exit times of diffusions with incompressible drift. Zbl 1387.35493
Iyer, Gautam; Novikov, Alexei; Ryzhik, Lenya; Zlatoš, Andrej
11
2010
Traveling fronts for the thermo-diffusive system with arbitrary Lewis numbers. Zbl 1200.35044
Hamel, François; Ryzhik, Lenya
8
2010
The non-local Fisher-KPP equation: travelling waves and steady states. Zbl 1195.35088
Berestycki, Henri; Nadin, Grégoire; Perthame, Benoit; Ryzhik, Lenya
154
2009
Traveling waves in a one-dimensional heterogeneous medium. Zbl 1178.35205
Nolen, James; Ryzhik, Lenya
58
2009
Stability of generalized transition fronts. Zbl 1173.35021
Mellet, Antoine; Nolen, James; Roquejoffre, Jean-Michel; Ryzhik, Lenya
38
2009
Limit of fluctuations of solutions of Wigner equation. Zbl 1179.81056
Komorowski, Tomasz; Peszat, Szymon; Ryzhik, Lenya
6
2009
Diffusion and mixing in fluid flow. Zbl 1180.35084
Constantin, Peter; Kiselev, Alexander; Ryzhik, Lenya; Zlatoš, Andrej
145
2008
Traveling waves for the Keller-Segel system with Fisher birth terms. Zbl 1154.35459
Nadin, Gregoire; Perthame, Benoît; Ryzhik, Lenya
38
2008
Propagation and quenching in a reactive Burgers-Boussinesq system. Zbl 1155.35085
Constantin, Peter; Roquejoffre, Jean-Michel; Ryzhik, Lenya; Vladimirova, Natalia
8
2008
Relaxation in reactive flows. Zbl 1177.35119
Constantin, Peter; Novikov, Alexei; Ryzhik, Lenya
4
2008
KPP pulsating front speed-up by flows. Zbl 1152.35055
Ryzhik, Lenya; Zlatos, Andrej
35
2007
Boundary layers and KPP fronts in a cellular flow. Zbl 1109.76064
Novikov, Alexei; Ryzhik, Lenya
23
2007
Self-averaging from lateral diversity in the Itô-Schrödinger equation. Zbl 1143.35390
Papanicolaou, George; Ryzhik, Lenya; Sølna, Knut
23
2007
Passive tracer in a slowly decorrelating random flow with a large mean. Zbl 1125.70009
Komorowski, Tomasz; Ryzhik, Lenya
9
2007
Moderate dispersion in conservation laws with convex fluxes. Zbl 1141.35322
Perthame, Benoît; Ryzhik, Lenya
4
2007
On asymptotics of a tracer advected in a locally self-similar, correlated flow. Zbl 1151.76591
Komorowski, Tomasz; Ryzhik, Lenya
3
2007
Quenching of reaction by cellular flows. Zbl 1097.35077
Fannjiang, A.; Kiselev, A.; Ryzhik, L.
24
2006
Non-planar fronts in Boussinesq reactive flows. Zbl 1157.35469
Berestycki, Henri; Constantin, Peter; Ryzhik, Lenya
16
2006
Travelling waves in two-dimensional reactive Boussinesq systems with no-slip boundary conditions. Zbl 1106.76076
Constantin, Peter; Lewicka, Marta; Ryzhik, Lenya
13
2006
Diffusion in a weakly random Hamiltonian flow. Zbl 1170.37327
Komorowski, Tomasz; Ryzhik, Lenya
12
2006
Travelling fronts in porous media combustion: existence and a singular limit. Zbl 1149.76683
Gordon, Peter; Ryzhik, Lenya
5
2006
Existence of pulsating waves in a model of flames in sprays. Zbl 1110.35007
Constantin, Peter; Domelevo, Komla; Roquejoffre, Jean-Michel; Ryzhik, Lenya
4
2006
The stochastic acceleration problem in two dimensions. Zbl 1140.60005
Komorowski, Tomasz; Ryzhik, Lenya
2
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
70
2005
Quenching and propagation in KPP reaction-diffusion equations with a heat loss. Zbl 1087.35051
Berestycki, Henri; Hamel, Francois; Kiselev, Alexander; Ryzhik, Lenya
31
2005
Boundary layers for cellular flows at high Péclet numbers. Zbl 1112.76023
Novikov, Alexei; Papanicolaou, George; Ryzhik, Lenya
18
2005
Stability of time reversed waves in changing media. Zbl 1184.35187
Bal, Guillaume; Ryzhik, Lenya
7
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
29
2004
The quantum scattering limit for a regularized Wigner equation. Zbl 1092.81026
Perthame, Benoît; Ryzhik, Lenya
3
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
Time reversal and refocusing in random media. Zbl 1126.76360
Bal, Guillaume; Ryzhik, Leonid
22
2003
Self-averaging of Wigner transforms in random media. Zbl 1037.35108
Bal, Guillaume; Komorowski, Tomasz; Ryzhik, Lenya
21
2003
Flame enhancement and quenching in fluid flows. Zbl 1068.76570
Vladimirova, Natalia; Constantin, Peter; Kiselev, Alexander; Ruchayskiy, Oleg; Ryzhik, Leonid
19
2003
Fronts in reactive convection: Bounds, stability, and instability. Zbl 1072.76068
Constantin, Peter; Kiselev, Alexander; Ryzhik, Lenya
8
2003
Radiative transport limit for the random Schrödinger equation. Zbl 0999.60061
Bal, Guillaume; Papanicolaou, George; Ryzhik, Leonid
34
2002
Stability in a nonlinear population maturation model. Zbl 1020.92025
Mischler, Stéphane; Perthame, Benoît; Ryzhik, Lenya
33
2002
Self-averaging in time reversal for the parabolic wave equation. Zbl 1020.35126
Bal, Guillaume; Papanicolaou, George; Ryzhik, Leonid
27
2002
Wave transport for a scalar model of the love waves. Zbl 1163.74314
Bal, Guillaume; Ryzhik, Leonid
4
2002
The parabolic wave approximation and time reversal. Zbl 1027.76049
Papanicolaou, George; Ryzhik, Leonid; Sølna, Knut
3
2002
Enhancement of the traveling front speeds in reaction-diffusion equations with advection. Zbl 1002.35069
Kiselev, Alexander; Ryzhik, Leonid
43
2001
Quenching of flames by fluid advection. Zbl 1032.35087
Constantin, Peter; Kiselev, Alexander; Ryzhik, Leonid
26
2001
Time reversal for classical waves in random media. Zbl 1033.74022
Bal, Guillaume; Ryzhik, Leonid
8
2001
Radiative transfer of sound waves in a random flow: Turbulent scattering, straining, and mode-coupling. Zbl 0994.76091
Fannjiang, Albert; Ryzhik, Leonid
4
2001
An upper bound for the bulk burning rate for systems. Zbl 0988.35080
Kiselev, Alexander; Ryzhik, Leonid
3
2001
...and 9 more Documents
all top 5

Cited by 1,577 Authors

57 Ryzhik, Lenya
36 Hamel, François
32 Winkler, Michael
31 Komorowski, Tomasz
30 Garnier, Josselin
27 Bal, Guillaume
27 Shen, Wenxian
25 Zlatoš, Andrej
24 Wang, Zhicheng
23 Perthame, Benoît
22 Gu, Yu
19 Henderson, Christopher
19 Kiselev, Alexander A.
18 Berestycki, Henri
18 Sølna, Knut
17 Bedrossian, Jacob
17 Coti Zelati, Michele
17 Volpert, Vitaly A.
17 Vougalter, Vitali
16 Jin, Shi
16 Xin, Jack X.
15 Nadin, Grégoire
15 Roquejoffre, Jean-Michel
15 Trofimchuk, Sergei I.
14 Han, Bang-Sheng
14 Pinaud, Olivier
13 Elgindi, Tarek Mohamed
13 Jeong, In-Jee
13 Tan, Changhui
12 Alfaro, Matthieu
12 Ducrot, Arnaud
12 Liu, Hailiang
12 Novikov, Alexei
11 Dunlap, Alexander
11 Efendiev, Messoud
11 Gabriel, Pierre
11 Iyer, Gautam
11 Li, Wan-Tong
11 Nolen, James
11 Shvydkoy, Roman V.
10 Gomez, Christophe
9 Avery, Montie
9 Berestycki, Julien
9 Bouin, Emeric
9 Brunet, Éric
9 Doumic, Marie
9 Giletti, Thomas
9 Hou, Thomas Yizhao
9 Olla, Stefano
9 Papanicolaou, George C.
9 Rodriguez, Nancy Y.
9 Rossi, Luca
9 Sheng, WeiJie
9 Zhang, Qian
8 Borcea, Liliana
8 Calvez, Vincent
8 Du, Yihong
8 He, Siming
8 Lassas, Matti J.
8 Masmoudi, Nader
8 Roques, Lionel J.
8 Salako, Rachidi Bolaji
8 Tadmor, Eitan
8 Wei, Dongyi
8 Zhang, Zhifei
7 Girardin, Léo
7 Guo, Hongjun
7 Kang, Kyungkeun
7 Liu, Ji
7 Liu, NaiWei
7 Luo, Dejun
7 Shen, Zhongwei
7 van Brunt, Bruce
7 Yu, Yifeng
7 Zhou, Maolin
6 Bao, Xiongxiong
6 Bellomo, Nicola
6 Chen, Xinfu
6 Constantin, Peter
6 Cosco, Clément
6 Coville, Jerome
6 Drivas, Theodore Dimitrios
6 Feng, Yuanyuan
6 Flandoli, Franco
6 Graham, Cole
6 Griette, Quentin
6 He, Junfeng
6 Koralov, Leonid B.
6 Lam, King-Yeung
6 Michel, Philippe
6 Scheel, Arnd
6 Soler, Juan S.
6 Tsai, Je-Chiang
6 Wang, Zhian
6 Xiang, Zhaoyin
5 Bertozzi, Andrea Louise
5 Bhatnagar, Manas
5 Carrillo de la Plata, José Antonio
5 Choi, Kyudong
5 Cottereau, Régis
...and 1,477 more Authors
all top 5

Cited in 258 Serials

89 Journal of Differential Equations
58 Archive for Rational Mechanics and Analysis
57 Nonlinearity
45 SIAM Journal on Mathematical Analysis
43 Communications in Mathematical Physics
33 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
29 Journal of Computational Physics
29 Communications in Partial Differential Equations
29 Discrete and Continuous Dynamical Systems. Series B
28 Journal of Functional Analysis
28 Discrete and Continuous Dynamical Systems
27 Journal de Mathématiques Pures et Appliquées. Neuvième Série
26 Journal of Mathematical Analysis and Applications
26 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
26 Journal of Dynamics and Differential Equations
25 Wave Motion
25 Physica D
23 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
22 ZAMP. Zeitschrift für angewandte Mathematik und Physik
20 Journal of Statistical Physics
20 Transactions of the American Mathematical Society
19 Journal of Mathematical Physics
19 Nonlinear Analysis. Real World Applications
17 Calculus of Variations and Partial Differential Equations
17 Multiscale Modeling & Simulation
16 Journal of Mathematical Biology
14 Mathematical Methods in the Applied Sciences
13 Applied Mathematics Letters
12 Journal of Fluid Mechanics
12 SIAM Journal on Applied Mathematics
12 Journal of Nonlinear Science
11 Communications on Pure and Applied Mathematics
11 Advances in Mathematics
11 European Journal of Applied Mathematics
11 Journal of Evolution Equations
11 Comptes Rendus. Mathématique. Académie des Sciences, Paris
11 Kinetic and Related Models
11 Annals of PDE
10 The Annals of Probability
10 Probability Theory and Related Fields
9 Acta Applicandae Mathematicae
9 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
9 NoDEA. Nonlinear Differential Equations and Applications
8 The Annals of Applied Probability
8 Mathematical Modelling of Natural Phenomena
8 Stochastic and Partial Differential Equations. Analysis and Computations
7 Bulletin of Mathematical Biology
7 Proceedings of the American Mathematical Society
7 Quarterly of Applied Mathematics
7 Stochastic Processes and their Applications
7 Electronic Journal of Probability
7 Discrete and Continuous Dynamical Systems. Series S
6 Applicable Analysis
6 Mathematische Annalen
6 Memoirs of the American Mathematical Society
6 Bulletin of the American Mathematical Society. New Series
6 Journal of Mathematical Fluid Mechanics
6 Journal of the European Mathematical Society (JEMS)
6 Stochastics and Dynamics
6 SIAM Journal on Imaging Sciences
5 Inverse Problems
5 Journal of the London Mathematical Society. Second Series
5 Chinese Annals of Mathematics. Series B
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Annales Henri Poincaré
5 Science China. Mathematics
5 Séminaire Laurent Schwartz. EDP et Applications
4 Mathematical Biosciences
4 International Journal for Numerical Methods in Engineering
4 Journal of the American Mathematical Society
4 Bernoulli
4 Acta Mathematica Sinica. English Series
4 Communications in Nonlinear Science and Numerical Simulation
4 SIAM Journal on Applied Dynamical Systems
4 Mathematical Biosciences and Engineering
4 Oberwolfach Reports
4 Boundary Value Problems
4 Journal of Biological Dynamics
4 Analysis & PDE
4 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
4 Pure and Applied Analysis
4 Annales Henri Lebesgue
3 Applied Mathematics and Computation
3 Duke Mathematical Journal
3 Indiana University Mathematics Journal
3 Studies in Applied Mathematics
3 Statistics & Probability Letters
3 Mathematical and Computer Modelling
3 Asymptotic Analysis
3 Journal of Scientific Computing
3 Japan Journal of Industrial and Applied Mathematics
3 Applied Mathematical Modelling
3 Potential Analysis
3 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
3 Abstract and Applied Analysis
3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 Chaos
3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
3 Combustion Theory and Modelling
...and 158 more Serials
all top 5

Cited in 44 Fields

1,203 Partial differential equations (35-XX)
433 Biology and other natural sciences (92-XX)
313 Fluid mechanics (76-XX)
247 Probability theory and stochastic processes (60-XX)
132 Statistical mechanics, structure of matter (82-XX)
101 Numerical analysis (65-XX)
76 Ordinary differential equations (34-XX)
70 Dynamical systems and ergodic theory (37-XX)
70 Integral equations (45-XX)
69 Operator theory (47-XX)
56 Quantum theory (81-XX)
52 Mechanics of deformable solids (74-XX)
44 Classical thermodynamics, heat transfer (80-XX)
43 Optics, electromagnetic theory (78-XX)
39 Geophysics (86-XX)
31 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
25 Real functions (26-XX)
18 Calculus of variations and optimal control; optimization (49-XX)
17 Harmonic analysis on Euclidean spaces (42-XX)
15 Functional analysis (46-XX)
15 Global analysis, analysis on manifolds (58-XX)
15 Mechanics of particles and systems (70-XX)
13 Statistics (62-XX)
12 Systems theory; control (93-XX)
8 Operations research, mathematical programming (90-XX)
7 Information and communication theory, circuits (94-XX)
5 General and overarching topics; collections (00-XX)
5 Integral transforms, operational calculus (44-XX)
4 Astronomy and astrophysics (85-XX)
3 Measure and integration (28-XX)
3 Computer science (68-XX)
2 Algebraic geometry (14-XX)
2 Difference and functional equations (39-XX)
2 Approximations and expansions (41-XX)
1 Mathematical logic and foundations (03-XX)
1 Combinatorics (05-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Topological groups, Lie groups (22-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Abstract harmonic analysis (43-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)

Citations by Year

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