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Roytburd, Victor

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Author ID: roytburd.victor Recent zbMATH articles by "Roytburd, Victor"
Published as: Roytburd, Victor; Roytburd, V.
Documents Indexed: 43 Publications since 1983, including 1 Book

Publications by Year

Citations contained in zbMATH Open

34 Publications have been cited 211 times in 149 Documents Cited by Year
Theoretical and numerical structure for unstable one-dimensional detonations. Zbl 0731.76076
Bourlioux, Anne; Majda, Andrew J.; Roytburd, Victor
64
1991
Theoretical and numerical structure for reacting shock waves. Zbl 0633.76060
Colella, Phillip; Majda, Andrew; Roytburd, Victor
58
1986
A sequence of period doublings and chaotic pulsations in a free boundary problem modeling thermal instabilities. Zbl 0809.35170
Frankel, M.; Roytburd, V.; Sivashinsky, G.
9
1994
Numerical study of the mechanisms for initiation of reacting shock waves. Zbl 0699.76075
Majda, A. J.; Roytburd, V.
6
1990
Dissipative dynamics for a class of nonlinear pseudo-differential equations. Zbl 1154.35484
Frankel, M.; Roytburd, V.
5
2008
Complex dynamics generated by a sharp interface model of self-propagating high-temperature synthesis. Zbl 0934.80003
Frankel, M.; Roytburd, V.; Sivashinsky, G.
5
1998
Dynamical portrait of a model of thermal instability: Cascades, chaos, reversed cascades and infinite period bifurcations. Zbl 0873.35112
Frankel, Michael L.; Roytburd, Victor
5
1994
A free boundary problem modeling thermal instabilities: Well-posedness. Zbl 0809.35169
Frankel, Michael L.; Roytburd, Victor
5
1994
A free boundary problem modeling thermal instabilities: Stability and bifurcation. Zbl 0808.35174
Frankel, Michael L.; Roytburd, Victor
5
1994
A Hopf bifurcation for a reaction-diffusion equation with concentrated chemical kinetics. Zbl 0507.35008
Roytburd, Victor
4
1985
On a free boundary model related to solid-state combustion. Zbl 0858.35144
Frankel, Michael L.; Roytburd, Victor
4
1995
Stability and attractors for the quasi-steady equation of cellular flames. Zbl 1109.35097
Brauner, C.-M.; Frankel, M.; Hulshof, J.; Roytburd, V.
3
2006
Finite-dimensional model of thermal instability. Zbl 0821.65084
Frankel, M. L.; Roytburd, V.
3
1995
Thermo-kinetically controlled pattern selection. Zbl 0958.35141
Frankel, M.; Gross, L. K.; Roytburd, V.
3
2000
Stability for a class of nonlinear pseudo-differential equations. Zbl 1148.35107
Frankel, Michael; Roytburd, Victor
3
2008
Finite-dimensional dynamical system modeling thermal instabilities. Zbl 0951.34027
Frankel, Michael L.; Kovačič, Gregor; Roytburd, Victor; Timofeyev, Ilya
2
2000
Dynamics of thermally-insulated nonequilibrium Stefan problem. Zbl 1152.35115
Frankel, M.; Roytburd, V.
2
2007
Compact attractors for a Stefan problem with kinetics. Zbl 0991.35114
Frankel, Michael L.; Roytburd, Victor
2
2002
Positively invariant regions for a problem in phase transitions. Zbl 0614.35005
Roytburd, V.; Slemrod, M.
2
1986
Dynamic phase transitions and compensated compactness. Zbl 0647.76037
Roytburd, V.; Slemrod, M.
2
1987
Low-frequency multidimensional instabilities for reacting shock waves. Zbl 0760.76033
Majda, A.; Roytburd, V.
2
1992
An application of the method of compensated compactness to a problem in phase transitions. Zbl 0667.35047
Roytburd, V.; Slemrod, M.
2
1988
Frequency locking for combustion synthesis in a periodic medium. Zbl 1209.80037
Frankel, Michael; Roytburd, Victor
2
2004
Traveling solitary waves for doubly-resonant media: computation via simulated annealing. Zbl 1179.65098
Frenkel, Y.; Roytburd, V.
2
2009
Phragmén-Lindelöf type results for periodic solutions of parabolic equations on a half-line. Zbl 0542.35040
Roytburd, Victor
2
1984
Dynamical structure of one-phase model of solid combustion. Zbl 1165.80006
Frankel, Michael; Roytburd, Victor
1
2005
On a free interface problem modeling solid combustion and rapid solidification in infinite medium. Zbl 0843.35140
Frankel, Michael; Qu, Min; Roytburd, Victor
1
1995
Dynamics of thermal instability. Zbl 0813.35139
Frankel, M. L.; Roytburd, V.
1
1994
Finite dimensional attractor for a one-phase Stefan problem with kinetics. Zbl 1036.35039
Frankel, M. L.; Roytburd, V.
1
2003
On attractors for a sharp interface model of exothermic phase transitions. Zbl 1136.37358
Frankel, Michael; Roytburd, Victor
1
2004
Measure-valued solutions to a problem in dynamic phase transitions. Zbl 0648.35052
Slemrod, M.; Roytburd, V.
1
1987
Nonlinear development of low frequency one-dimensional instabilities for reacting shock waves. Zbl 0751.76035
Bourlioux, A.; Majda, A.; Roytburd, V.
1
1991
Dynamics of SHS in periodic media. Zbl 1222.92071
Frankel, Michael; Roytburd, Victor
1
2005
Numerical modeling of the initiation of reacting shock waves. Zbl 0685.76028
Majda, Andrew; Roytburd, Victor
1
1988
Traveling solitary waves for doubly-resonant media: computation via simulated annealing. Zbl 1179.65098
Frenkel, Y.; Roytburd, V.
2
2009
Dissipative dynamics for a class of nonlinear pseudo-differential equations. Zbl 1154.35484
Frankel, M.; Roytburd, V.
5
2008
Stability for a class of nonlinear pseudo-differential equations. Zbl 1148.35107
Frankel, Michael; Roytburd, Victor
3
2008
Dynamics of thermally-insulated nonequilibrium Stefan problem. Zbl 1152.35115
Frankel, M.; Roytburd, V.
2
2007
Stability and attractors for the quasi-steady equation of cellular flames. Zbl 1109.35097
Brauner, C.-M.; Frankel, M.; Hulshof, J.; Roytburd, V.
3
2006
Dynamical structure of one-phase model of solid combustion. Zbl 1165.80006
Frankel, Michael; Roytburd, Victor
1
2005
Dynamics of SHS in periodic media. Zbl 1222.92071
Frankel, Michael; Roytburd, Victor
1
2005
Frequency locking for combustion synthesis in a periodic medium. Zbl 1209.80037
Frankel, Michael; Roytburd, Victor
2
2004
On attractors for a sharp interface model of exothermic phase transitions. Zbl 1136.37358
Frankel, Michael; Roytburd, Victor
1
2004
Finite dimensional attractor for a one-phase Stefan problem with kinetics. Zbl 1036.35039
Frankel, M. L.; Roytburd, V.
1
2003
Compact attractors for a Stefan problem with kinetics. Zbl 0991.35114
Frankel, Michael L.; Roytburd, Victor
2
2002
Thermo-kinetically controlled pattern selection. Zbl 0958.35141
Frankel, M.; Gross, L. K.; Roytburd, V.
3
2000
Finite-dimensional dynamical system modeling thermal instabilities. Zbl 0951.34027
Frankel, Michael L.; Kovačič, Gregor; Roytburd, Victor; Timofeyev, Ilya
2
2000
Complex dynamics generated by a sharp interface model of self-propagating high-temperature synthesis. Zbl 0934.80003
Frankel, M.; Roytburd, V.; Sivashinsky, G.
5
1998
On a free boundary model related to solid-state combustion. Zbl 0858.35144
Frankel, Michael L.; Roytburd, Victor
4
1995
Finite-dimensional model of thermal instability. Zbl 0821.65084
Frankel, M. L.; Roytburd, V.
3
1995
On a free interface problem modeling solid combustion and rapid solidification in infinite medium. Zbl 0843.35140
Frankel, Michael; Qu, Min; Roytburd, Victor
1
1995
A sequence of period doublings and chaotic pulsations in a free boundary problem modeling thermal instabilities. Zbl 0809.35170
Frankel, M.; Roytburd, V.; Sivashinsky, G.
9
1994
Dynamical portrait of a model of thermal instability: Cascades, chaos, reversed cascades and infinite period bifurcations. Zbl 0873.35112
Frankel, Michael L.; Roytburd, Victor
5
1994
A free boundary problem modeling thermal instabilities: Well-posedness. Zbl 0809.35169
Frankel, Michael L.; Roytburd, Victor
5
1994
A free boundary problem modeling thermal instabilities: Stability and bifurcation. Zbl 0808.35174
Frankel, Michael L.; Roytburd, Victor
5
1994
Dynamics of thermal instability. Zbl 0813.35139
Frankel, M. L.; Roytburd, V.
1
1994
Low-frequency multidimensional instabilities for reacting shock waves. Zbl 0760.76033
Majda, A.; Roytburd, V.
2
1992
Theoretical and numerical structure for unstable one-dimensional detonations. Zbl 0731.76076
Bourlioux, Anne; Majda, Andrew J.; Roytburd, Victor
64
1991
Nonlinear development of low frequency one-dimensional instabilities for reacting shock waves. Zbl 0751.76035
Bourlioux, A.; Majda, A.; Roytburd, V.
1
1991
Numerical study of the mechanisms for initiation of reacting shock waves. Zbl 0699.76075
Majda, A. J.; Roytburd, V.
6
1990
An application of the method of compensated compactness to a problem in phase transitions. Zbl 0667.35047
Roytburd, V.; Slemrod, M.
2
1988
Numerical modeling of the initiation of reacting shock waves. Zbl 0685.76028
Majda, Andrew; Roytburd, Victor
1
1988
Dynamic phase transitions and compensated compactness. Zbl 0647.76037
Roytburd, V.; Slemrod, M.
2
1987
Measure-valued solutions to a problem in dynamic phase transitions. Zbl 0648.35052
Slemrod, M.; Roytburd, V.
1
1987
Theoretical and numerical structure for reacting shock waves. Zbl 0633.76060
Colella, Phillip; Majda, Andrew; Roytburd, Victor
58
1986
Positively invariant regions for a problem in phase transitions. Zbl 0614.35005
Roytburd, V.; Slemrod, M.
2
1986
A Hopf bifurcation for a reaction-diffusion equation with concentrated chemical kinetics. Zbl 0507.35008
Roytburd, Victor
4
1985
Phragmén-Lindelöf type results for periodic solutions of parabolic equations on a half-line. Zbl 0542.35040
Roytburd, Victor
2
1984
all top 5

Cited by 230 Authors

10 Roytburd, Victor
10 Zumbrun, Kevin R.
8 Frankel, Michael L.
5 Jin, Shi
4 Aslam, Tariq D.
4 Bao, Weizhu
4 Chen, Gui-Qiang G.
4 Sharpe, Gary J.
4 Shu, Chi-Wang
4 Smyrlis, Yiorgos-Sokratis
3 Brauner, Claude-Michel
3 Fedkiw, Ronald P.
3 Gao, Zhen
3 Ioakim, Xenakis
3 Kasimov, Aslan R.
3 Lyng, Gregory Daniel
3 Majda, Andrew J.
3 Ng, Hoi Dick
3 Osher, Stanley Joel
3 Razani, Abdolrahman
3 Stewart, D. Scott
3 Texier, Benjamin
2 Bragin, Michael D.
2 Daimon, Yu
2 Don, Wai Sun
2 Fan, Haitao
2 Golovaty, Dmitry
2 Gross, Laura K.
2 Henrick, Andrew K.
2 Higgins, Andrew J.
2 Humpherys, Jeffrey
2 Karagozian, Ann R.
2 Kuang, Jie
2 Lee, John H. S.
2 Lian, Yongsheng
2 Lorenzi, Luca
2 Matsuo, Akiko
2 Nikiforakis, Nikos
2 Powers, Joseph M.
2 Radulescu, Matei I.
2 Reardon, Michael
2 Rogov, Boris V.
2 Rosales, Rodolfo Ruben
2 Sander, Evelyn
2 Schwendeman, Donald W.
2 Short, Mark W.
2 Sivashinsky, Gregory I.
2 Tang, Tao
2 Wang, Jian Hang
2 Wang, Wei
2 Xu, Kun
2 Yee, Helen C.
2 Ying, Lungan
2 Yorke, James Alan
2 Zhang, Yongqian
2 Zhao, Qin
1 Abderrahmane, Hamid Ait
1 Addona, Davide
1 Afonso, Juan Carlos
1 Ahmed, Nasir Uddin
1 Akrivis, Georgios D.
1 Aleksandrov, Dmitriĭ Valer’evich
1 Almgren, Robert F.
1 Alvarez, Enrique E.
1 Anguelova, Iana I.
1 Azarenok, Boris N.
1 Barker, Blake
1 Bates, Kevin R.
1 Bauwens, Luc C. A. A.
1 Bdzil, John B.
1 Berkenbosch, Adriaan Cornelis
1 Bihari, Barna L.
1 Boutin, Benjamin
1 Bronski, Jared C.
1 Bukiet, Bruce G.
1 Cardarelli, Stephen A.
1 Cerimele, Maria Mercede
1 Chalabi, Abdallah
1 Chen, Fang
1 Chen, Sicong
1 Chertock, Alina E.
1 Chinnayya, Ashwin
1 Choi, Sungjin
1 Clarke, John F.
1 Clavin, Paul
1 Coquel, Frédéric
1 Deng, Xi
1 Dimotakis, Paul E.
1 Ding, Xia-xi
1 DiPerna, Ronald J.
1 Dong, Xinzhuang
1 Dumbser, Michael
1 Ebad, S. Noor
1 Enaux, Cedric
1 Engquist, Bjorn E.
1 Fahrenthold, Eric P.
1 Falle, Sam A. E. G.
1 Faria, Luiz M.
1 Gao, Jun
1 Gordon, Peter V.
...and 130 more Authors
all top 5

Cited in 58 Serials

21 Journal of Computational Physics
14 Combustion Theory and Modelling
8 Physica D
6 Journal of Fluid Mechanics
6 Journal of Mathematical Analysis and Applications
5 Computers and Fluids
5 Applied Mathematics Letters
4 Archive for Rational Mechanics and Analysis
4 Mathematics of Computation
4 Journal of Differential Equations
4 Physics of Fluids
3 Communications in Mathematical Physics
3 Studies in Applied Mathematics
3 SIAM Journal on Applied Mathematics
3 Nonlinear Analysis. Theory, Methods & Applications
2 Computer Methods in Applied Mechanics and Engineering
2 Mathematical Methods in the Applied Sciences
2 Physics of Fluids, A
2 Shock Waves
2 Applied Mathematics and Computation
2 Journal of Computational and Applied Mathematics
2 Quarterly of Applied Mathematics
2 Applied Numerical Mathematics
2 Journal of Scientific Computing
2 Communications in Partial Differential Equations
2 Chaos
2 Interfaces and Free Boundaries
1 Applicable Analysis
1 Bulletin of the Australian Mathematical Society
1 Fluid Dynamics
1 International Journal of Heat and Mass Transfer
1 Journal of Statistical Physics
1 Physica A
1 Physics Letters. A
1 Theoretical and Computational Fluid Dynamics
1 Calcolo
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Transactions of the American Mathematical Society
1 European Journal of Applied Mathematics
1 Computational Mathematics and Mathematical Physics
1 Applied Mathematical Modelling
1 SIAM Journal on Mathematical Analysis
1 Journal of Dynamics and Differential Equations
1 SIAM Journal on Scientific Computing
1 International Journal of Numerical Methods for Heat & Fluid Flow
1 Advances in Computational Mathematics
1 Discrete and Continuous Dynamical Systems
1 Journal of Mathematical Chemistry
1 International Journal of Computational Fluid Dynamics
1 Journal of Mathematical Fluid Mechanics
1 Journal of Nonlinear Mathematical Physics
1 Matematicheskoe Modelirovanie
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Boundary Value Problems
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Acta Mechanica Sinica
1 Journal of Fixed Point Theory and Applications
1 ISRN Applied Mathematics

Citations by Year