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Xin, Jack X.

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Author ID: xin.jack-x Recent zbMATH articles by "Xin, Jack X."
Published as: Xin, J.; Xin, J. X.; Xin, Jack; Xin, Jack X.
Documents Indexed: 123 Publications since 1992, including 2 Books
all top 5

Serials

12 Communications in Mathematical Sciences
7 Physica D
7 Journal of Scientific Computing
5 Communications in Mathematical Physics
5 SIAM Journal on Imaging Sciences
4 Archive for Rational Mechanics and Analysis
4 Journal of Statistical Physics
4 Nonlinearity
4 Methods and Applications of Analysis
4 Multiscale Modeling & Simulation
3 SIAM Journal on Mathematical Analysis
3 Mathematical Programming. Series A. Series B
3 SIAM Journal on Scientific Computing
3 Communications in Information and Systems
2 SIAM Journal on Numerical Analysis
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Journal of Computational Mathematics
2 Signal Processing
2 Communications in Partial Differential Equations
2 SIAM Journal on Applied Mathematics
2 Discrete and Continuous Dynamical Systems
2 Inverse Problems and Imaging
1 Communications on Pure and Applied Mathematics
1 IMA Journal of Applied Mathematics
1 Journal of Mathematical Physics
1 Indiana University Mathematics Journal
1 Journal of Differential Equations
1 Chinese Annals of Mathematics. Series B
1 Bulletin of the Institute of Mathematics. Academia Sinica
1 SIAM Review
1 SIAM Journal on Optimization
1 Journal of Nonlinear Science
1 Mathematical Research Letters
1 Computational Geosciences
1 IEEE Transactions on Image Processing
1 Discrete and Continuous Dynamical Systems. Series B
1 SIAM Journal on Applied Dynamical Systems
1 Dynamics of Partial Differential Equations
1 Surveys and Tutorials in the Applied Mathematical Sciences
1 RIMS Kôkyûroku Bessatsu
1 Mathematical Modelling of Natural Phenomena
1 Numerical Mathematics: Theory, Methods and Applications
1 SIAM Journal on Financial Mathematics
1 MS&A. Modeling, Simulation and Applications
1 Research in the Mathematical Sciences
1 Annals of Mathematical Sciences and Applications

Publications by Year

Citations contained in zbMATH Open

88 Publications have been cited 1,031 times in 624 Documents Cited by Year
Front propagation in heterogeneous media. Zbl 0951.35060
Xin, Jack
160
1998
Existence of planar flame fronts in convective-diffusive periodic media. Zbl 0764.76074
Xin, Jack X.
60
1992
Multidimensional stability of traveling waves in a bistable reaction-diffusion equation. I. Zbl 0789.35019
Xin, Jack X.
56
1992
Existence of KPP fronts in spatially-temporally periodic advection and variational principle for propagation speeds. Zbl 1179.35166
Nolen, James; Rudd, Matthew; Xin, Jack
53
2005
Multidimensional stability of traveling waves in a bistable reaction-diffusion equation. II. Zbl 0789.35020
Levermore, C. D.; Xin, Jack X.
53
1992
Existence and nonexistence of traveling waves and reaction-diffusion front propagation in periodic media. Zbl 1102.35340
Xin, Jack X.
43
1993
Existence of KPP type fronts in space-time periodic shear flows and a study of minimal speeds based on variational principle. Zbl 1097.35072
Nolen, James; Xin, Jack
42
2005
On the incompressible fluid limit and the vortex motion law of the nonlinear Schrödinger equation. Zbl 0920.35145
Lin, F.-H.; Xin, J. X.
42
1999
Minimization of \(\ell_{1-2}\) for compressed sensing. Zbl 1316.90037
Yin, Penghang; Lou, Yifei; He, Qi; Xin, Jack
39
2015
A method for finding structured sparse solutions to nonnegative least squares problems with applications. Zbl 1282.90239
Esser, Ernie; Lou, Yifei; Xin, Jack
26
2013
An introduction to fronts in random media. Zbl 1188.35003
Xin, Jack
22
2009
Modeling light bullets with the two-dimensional sine-Gordon equation. Zbl 0936.78006
Xin, J. X.
22
2000
Difference-of-convex learning: directional stationarity, optimality, and sparsity. Zbl 1369.90130
Ahn, Miju; Pang, Jong-Shi; Xin, Jack
20
2017
Global large time self-similarity of a thermal-diffusive combustion system with critical nonlinearity. Zbl 0862.35050
Bricmont, J.; Kupiainen, A.; Xin, J.
20
1996
Diffusion-generated motion by mean curvature for filaments. Zbl 1037.35033
Ruuth, S. J.; Merriman, B.; Xin, J.; Osher, S.
18
2001
A weighted difference of anisotropic and isotropic total variation model for image processing. Zbl 1322.94019
Lou, Yifei; Zeng, Tieyong; Osher, Stanley; Xin, Jack
16
2015
Computing sparse representation in a highly coherent dictionary based on difference of \(L_1\) and \(L_2\). Zbl 1327.65111
Lou, Yifei; Yin, Penghang; He, Qi; Xin, Jack
16
2015
Asymptotic spreading of KPP reactive fronts in incompressible space-time random flows. Zbl 1177.35172
Nolen, James; Xin, Jack
16
2009
Periodic homogenization of the inviscid G-equation for incompressible flows. Zbl 1372.76085
Xin, Jack; Yu, Yifeng
15
2010
A variational principle for KPP front speeds in temporally random shear flows. Zbl 1114.35095
Nolen, James; Xin, Jack
13
2007
A variational principle based study of KPP minimal front speeds in random shears. Zbl 1181.35135
Nolen, James; Xin, Jack
12
2005
Reaction-diffusion front speeds in spactially-temporally periodic shear flows. Zbl 1053.35068
Nolen, Jim; Xin, Jack
12
2003
A convex model for nonnegative matrix factorization and dimensionality reduction on physical space. Zbl 1373.15021
Esser, Ernie; Möller, Michael; Osher, Stanley; Sapiro, Guillermo; Xin, Jack
11
2012
Minimization of transformed \(L_1\) penalty: theory, difference of convex function algorithm, and robust application in compressed sensing. Zbl 1386.94049
Zhang, Shuai; Xin, Jack
10
2018
PhaseLiftOff: an accurate and stable phase retrieval method based on difference of trace and Frobenius norms. Zbl 1342.94052
Yin, Penghang; Xin, Jack
10
2015
Self-similar decay in the Kraichnan model of a passive scalar. Zbl 1008.76028
Eyink, Gregory L.; Xin, Jack
10
2000
On the dynamical law of the Ginzburg-Landau vortices on the plane. Zbl 0935.35036
Lin, F.-H.; Xin, J. X.
10
1999
Point source super-resolution via non-convex \(L_1\) based methods. Zbl 1354.65125
Lou, Yifei; Yin, Penghang; Xin, Jack
9
2016
Computational aspects of constrained \(L_1\)-\(L_2\) minimization for compressive sensing. Zbl 1370.90176
Lou, Yifei; Osher, Stanley; Xin, Jack
9
2015
Global existence and large time asymptotic bounds of \(L^ \infty\) solutions of thermal diffusive combustion systems on \(\mathbb{R}^ n\). Zbl 0882.35058
Collet, P.; Xin, J.
8
1996
Weighted elastic net penalized mean-variance portfolio design and computation. Zbl 1330.91173
Ho, Michael; Sun, Zheng; Xin, Jack
7
2015
Comparisons between sine-Gordon and perturbed nonlinear Schrödinger equations for modeling light bullets beyond critical collapse. Zbl 1190.35205
Bao, Weizhu; Dong, Xuanchun; Xin, Jack
7
2010
Bounds on front speeds for inviscid and viscous \(G\)-equations. Zbl 1256.35090
Nolen, James; Xin, Jack; Yu, Yifeng
7
2009
KPP front speeds in random shears and the parabolic Anderson problem. Zbl 1052.35099
Xin, Jack
7
2003
Global solutions to a reactive Boussinesq system with front data on an infinite domain. Zbl 0908.35104
Malham, Simon; Xin, Jack X.
7
1998
White noise perturbation of the viscous shock fronts of the Burgers equation. Zbl 0858.60059
Wehr, J.; Xin, J.
7
1996
Quenching and propagation of bistable reaction-diffusion fronts in multidimensional periodic media. Zbl 0900.35193
Xin, Jack X.; Zhu, Jingyi
7
1995
Sharp asymptotic growth laws of turbulent flame speeds in cellular flows by inviscid Hamilton-Jacobi models. Zbl 1366.35018
Xin, Jack; Yu, Yifeng
6
2013
KPP fronts in a one-dimensional random drift. Zbl 1160.35443
Nolen, James; Xin, Jack
6
2009
Dynamic stability of vortex solutions of Ginzburg-Landau and nonlinear Schrödinger equations. Zbl 0872.35105
Weinstein, M. I.; Xin, J.
6
1996
Existence of multidimensional traveling waves in the transport of reactive solutes through periodic porous media. Zbl 0819.76097
Xin, Jack X.
6
1994
Minimization of transformed \(l_1\) penalty: closed form representation and iterative thresholding algorithms. Zbl 1386.94048
Zhang, Shuai; Xin, Jack
5
2017
Asymptotic growth rates and strong bending of turbulent flame speeds of G-equation in steady two-dimensional incompressible periodic flows. Zbl 1339.76035
Xin, Jack; Yu, Yifeng
5
2014
A two-dimensional nonlinear nonlocal feed-forward cochlear model and time domain computation of multitone interactions. Zbl 1092.35113
Kim, Yongsam; Xin, Jack
5
2005
Iterative \({\ell_1}\) minimization for non-convex compressed sensing. Zbl 1413.90223
Yin, Penghang; Xin, Jack
4
2017
Periodic orbits of the ABC flow with \(A=B=C=1\). Zbl 1366.34062
Xin, Jack; Yu, Yifeng; Zlatoš, Andrej
4
2016
Partially blind deblurring of barcode from out-of-focus blur. Zbl 1295.90114
Lou, Yifei; Esser, Ernie; Zhao, Hongkai; Xin, Jack
4
2014
A soft-constrained dynamic iterative method of blind source separation. Zbl 1177.94064
Liu, Jie; Xin, Jack; Qi, Yingyong
4
2009
Front speed in the Burgers equation with a random flux. Zbl 0920.35141
Wehr, J.; Xin, J.
4
1997
Large time asymptotic of solutions to a model combustion system with critical nonlinearity. Zbl 0820.35081
Berlyand, L.; Xin, J.
4
1995
Computing residual diffusivity by adaptive basis learning via spectral method. Zbl 1389.76035
Lyu, Jiancheng; Xin, Jack; Yu, Yifeng
3
2017
Transformed Schatten-1 iterative thresholding algorithms for low rank matrix completion. Zbl 1395.90207
Zhang, Shuai; Yin, Penghang; Xin, Jack
3
2017
A computational study of residual KPP front speeds in time-periodic cellular flows in the small diffusion limit. Zbl 1364.76105
Zu, Penghe; Chen, Long; Xin, Jack
3
2015
A numerical study of turbulent flame speeds of curvature and strain G-equations in cellular flows. Zbl 1259.35197
Liu, Yu-Yu; Xin, Jack; Yu, Yifeng
3
2013
Asymptotics for turbulent flame speeds of the viscous \(G\)-equation enhanced by cellular and shear flows. Zbl 1269.76127
Liu, Yu-Yu; Xin, Jack; Yu, Yifeng
3
2011
Periodic homogenization of G-equations and viscosity effects. Zbl 1197.70012
Liu, Yu-Yu; Xin, Jack; Yu, Yifeng
3
2010
Statistical analysis of a semilinear hyperbolic system advected by a white in time random velocity field. Zbl 1007.60066
Eyink, Gregory; Xin, Jack
3
2002
A unified approach to vortex motion laws of complex scalar field equations. Zbl 0930.35025
Lin, F.-H.; Xin, J. X.
3
1998
Stability of traveling waves of a solute transport equation. Zbl 0884.35011
Xin, Jack X.
3
1997
Ballistic orbits and front speed enhancement for ABC flows. Zbl 1418.34080
McMillen, Tyler; Xin, Jack; Yu, Yifeng; Zlatoš, Andrej
2
2016
Ratio and difference of \(l_1\) and \(l_2\) norms and sparse representation with coherent dictionaries. Zbl 1429.94037
Yin, Penghang; Esser, Ernie; Xin, Jack
2
2014
Front quenching in the G-equation model induced by straining of cellular flow. Zbl 1305.35144
Xin, Jack; Yu, Yifeng
2
2014
Finite element computation of KPP front speeds in 3D cellular and ABC flows. Zbl 1416.65465
Shen, L.; Xin, J.; Zhou, A.
2
2013
A time domain algorithm for blind separation of convolutive sound mixtures and \(L_1\) constrained minimization of cross correlations. Zbl 1173.94373
Liu, Jie; Xin, Jack; Qi, Yingyong; Zheng, Fan-Gang
2
2009
Computing reactive front speeds in random flows by variational principle. Zbl 1155.76061
Nolen, James; Xin, Jack
2
2008
Min-max variational principle and front speeds in random shear flows. Zbl 1107.35366
Nolen, James; Xin, Jack
2
2004
Global solutions and attractors of a Maxwell-Bloch Raman laser system in two transverse dimensions. Zbl 0909.35021
Xin, J.; Moloney, J.
2
1998
Existence of a class of symmetric rotating spiral waves on finite disc domains in excitable media. Zbl 0791.35061
Xin, Jack
2
1993
Reactive flows in layered porous media. II: The shape stability of the reaction interface. Zbl 0772.35088
Xin, J.; Peirce, A.; Chadam, J.; Ortoleva, P.
2
1993
Residual diffusivity in elephant random walk models with stops. Zbl 1409.60073
Lyu, Jiancheng; Xin, Jack; Yu, Yifeng
1
2019
Linear feature transform and enhancement of classification on deep neural network. Zbl 06945479
Yin, Penghang; Xin, Jack; Qi, Yingyong
1
2018
Computing effective diffusivity of chaotic and stochastic flows using structure-preserving schemes. Zbl 1404.65209
Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen
1
2018
Spectral analysis and computation of effective diffusivities in space-time periodic incompressible flows. Zbl 06827871
Murphy, N. Benjamin; Cherkaev, Elena; Xin, Jack; Zhu, Jingyi; Golden, Kenneth M.
1
2017
Mathematical modeling and signal processing in speech and hearing sciences. Zbl 1293.94003
Xin, Jack; Qi, Yingyong
1
2014
Finite element computation of KPP front speeds in cellular and cat’s eye flows. Zbl 1366.76055
Shen, Lihua; Xin, Jack; Zhou, Aihui
1
2013
Hybrid deterministic-stochastic gradient Langevin dynamics for Bayesian learning. Zbl 1329.60260
He, Qi; Xin, Jack
1
2012
A convex model and \(l_1\) minimization for musical noise reduction in blind source separation. Zbl 1271.65097
Ma, Wenye; Osher, Stanley; Xin, Jack; Yu, Meng
1
2012
Underdetermined sparse blind source separation of nonnegative and partially overlapped data. Zbl 1234.94017
Sun, Yuanchang; Xin, Jack
1
2011
Postprocessing and sparse blind source separation of positive and partially overlapped data. Zbl 1217.94065
Sun, Y.; Ridge, C.; del Rio, F.; Shaka, A. J.; Xin, J.
1
2011
Finite element computations of Kolmogorov-Petrovsky-Piskunov front speeds in random shear flows in cylinders. Zbl 1400.76096
Shen, Lihua; Xin, Jack; Zhou, Aihui
1
2008
Breakdown of homogenization for the random Hamilton-Jacobi equations. Zbl 1207.70018
E, Weinan; Wehr, Jan; Xin, Jack
1
2008
Signal processing of acoustic signals in the time domain with an active nonlinear nonlocal cochlear model. Zbl 1163.94357
Lamar, M. Drew; Xin, Jack; Qi, Yingyong
1
2006
A numerical study of the light bullets interaction in the \((2+1)\) sine-Gordon equation. Zbl 1136.35456
Povich, T.; Xin, J.
1
2005
Modelling thermal front dynamics in microwave heating. Zbl 1029.80003
Mercado, Gema A.; Luce, Benjamin P.; Xin, Jack
1
2002
Stability, relaxation, and oscillation of biodegradation fronts. Zbl 0964.35094
Xin, Jack X.; Hyman, James M.
1
2000
Existence of traveling waves in a biodegradation model for organic contaminants. Zbl 0957.92032
Murray, Regan; Xin, J. X.
1
1999
Wetting fronts in one-dimensional periodically layered soils. Zbl 0908.35017
Fennemore, George; Xin, Jack X.
1
1998
A numerical study of fronts in random media using a reactive solute transport model. Zbl 0941.76084
Postel, Marie; Xin, Jack
1
1997
Residual diffusivity in elephant random walk models with stops. Zbl 1409.60073
Lyu, Jiancheng; Xin, Jack; Yu, Yifeng
1
2019
Minimization of transformed \(L_1\) penalty: theory, difference of convex function algorithm, and robust application in compressed sensing. Zbl 1386.94049
Zhang, Shuai; Xin, Jack
10
2018
Linear feature transform and enhancement of classification on deep neural network. Zbl 06945479
Yin, Penghang; Xin, Jack; Qi, Yingyong
1
2018
Computing effective diffusivity of chaotic and stochastic flows using structure-preserving schemes. Zbl 1404.65209
Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen
1
2018
Difference-of-convex learning: directional stationarity, optimality, and sparsity. Zbl 1369.90130
Ahn, Miju; Pang, Jong-Shi; Xin, Jack
20
2017
Minimization of transformed \(l_1\) penalty: closed form representation and iterative thresholding algorithms. Zbl 1386.94048
Zhang, Shuai; Xin, Jack
5
2017
Iterative \({\ell_1}\) minimization for non-convex compressed sensing. Zbl 1413.90223
Yin, Penghang; Xin, Jack
4
2017
Computing residual diffusivity by adaptive basis learning via spectral method. Zbl 1389.76035
Lyu, Jiancheng; Xin, Jack; Yu, Yifeng
3
2017
Transformed Schatten-1 iterative thresholding algorithms for low rank matrix completion. Zbl 1395.90207
Zhang, Shuai; Yin, Penghang; Xin, Jack
3
2017
Spectral analysis and computation of effective diffusivities in space-time periodic incompressible flows. Zbl 06827871
Murphy, N. Benjamin; Cherkaev, Elena; Xin, Jack; Zhu, Jingyi; Golden, Kenneth M.
1
2017
Point source super-resolution via non-convex \(L_1\) based methods. Zbl 1354.65125
Lou, Yifei; Yin, Penghang; Xin, Jack
9
2016
Periodic orbits of the ABC flow with \(A=B=C=1\). Zbl 1366.34062
Xin, Jack; Yu, Yifeng; Zlatoš, Andrej
4
2016
Ballistic orbits and front speed enhancement for ABC flows. Zbl 1418.34080
McMillen, Tyler; Xin, Jack; Yu, Yifeng; Zlatoš, Andrej
2
2016
Minimization of \(\ell_{1-2}\) for compressed sensing. Zbl 1316.90037
Yin, Penghang; Lou, Yifei; He, Qi; Xin, Jack
39
2015
A weighted difference of anisotropic and isotropic total variation model for image processing. Zbl 1322.94019
Lou, Yifei; Zeng, Tieyong; Osher, Stanley; Xin, Jack
16
2015
Computing sparse representation in a highly coherent dictionary based on difference of \(L_1\) and \(L_2\). Zbl 1327.65111
Lou, Yifei; Yin, Penghang; He, Qi; Xin, Jack
16
2015
PhaseLiftOff: an accurate and stable phase retrieval method based on difference of trace and Frobenius norms. Zbl 1342.94052
Yin, Penghang; Xin, Jack
10
2015
Computational aspects of constrained \(L_1\)-\(L_2\) minimization for compressive sensing. Zbl 1370.90176
Lou, Yifei; Osher, Stanley; Xin, Jack
9
2015
Weighted elastic net penalized mean-variance portfolio design and computation. Zbl 1330.91173
Ho, Michael; Sun, Zheng; Xin, Jack
7
2015
A computational study of residual KPP front speeds in time-periodic cellular flows in the small diffusion limit. Zbl 1364.76105
Zu, Penghe; Chen, Long; Xin, Jack
3
2015
Asymptotic growth rates and strong bending of turbulent flame speeds of G-equation in steady two-dimensional incompressible periodic flows. Zbl 1339.76035
Xin, Jack; Yu, Yifeng
5
2014
Partially blind deblurring of barcode from out-of-focus blur. Zbl 1295.90114
Lou, Yifei; Esser, Ernie; Zhao, Hongkai; Xin, Jack
4
2014
Ratio and difference of \(l_1\) and \(l_2\) norms and sparse representation with coherent dictionaries. Zbl 1429.94037
Yin, Penghang; Esser, Ernie; Xin, Jack
2
2014
Front quenching in the G-equation model induced by straining of cellular flow. Zbl 1305.35144
Xin, Jack; Yu, Yifeng
2
2014
Mathematical modeling and signal processing in speech and hearing sciences. Zbl 1293.94003
Xin, Jack; Qi, Yingyong
1
2014
A method for finding structured sparse solutions to nonnegative least squares problems with applications. Zbl 1282.90239
Esser, Ernie; Lou, Yifei; Xin, Jack
26
2013
Sharp asymptotic growth laws of turbulent flame speeds in cellular flows by inviscid Hamilton-Jacobi models. Zbl 1366.35018
Xin, Jack; Yu, Yifeng
6
2013
A numerical study of turbulent flame speeds of curvature and strain G-equations in cellular flows. Zbl 1259.35197
Liu, Yu-Yu; Xin, Jack; Yu, Yifeng
3
2013
Finite element computation of KPP front speeds in 3D cellular and ABC flows. Zbl 1416.65465
Shen, L.; Xin, J.; Zhou, A.
2
2013
Finite element computation of KPP front speeds in cellular and cat’s eye flows. Zbl 1366.76055
Shen, Lihua; Xin, Jack; Zhou, Aihui
1
2013
A convex model for nonnegative matrix factorization and dimensionality reduction on physical space. Zbl 1373.15021
Esser, Ernie; Möller, Michael; Osher, Stanley; Sapiro, Guillermo; Xin, Jack
11
2012
Hybrid deterministic-stochastic gradient Langevin dynamics for Bayesian learning. Zbl 1329.60260
He, Qi; Xin, Jack
1
2012
A convex model and \(l_1\) minimization for musical noise reduction in blind source separation. Zbl 1271.65097
Ma, Wenye; Osher, Stanley; Xin, Jack; Yu, Meng
1
2012
Asymptotics for turbulent flame speeds of the viscous \(G\)-equation enhanced by cellular and shear flows. Zbl 1269.76127
Liu, Yu-Yu; Xin, Jack; Yu, Yifeng
3
2011
Underdetermined sparse blind source separation of nonnegative and partially overlapped data. Zbl 1234.94017
Sun, Yuanchang; Xin, Jack
1
2011
Postprocessing and sparse blind source separation of positive and partially overlapped data. Zbl 1217.94065
Sun, Y.; Ridge, C.; del Rio, F.; Shaka, A. J.; Xin, J.
1
2011
Periodic homogenization of the inviscid G-equation for incompressible flows. Zbl 1372.76085
Xin, Jack; Yu, Yifeng
15
2010
Comparisons between sine-Gordon and perturbed nonlinear Schrödinger equations for modeling light bullets beyond critical collapse. Zbl 1190.35205
Bao, Weizhu; Dong, Xuanchun; Xin, Jack
7
2010
Periodic homogenization of G-equations and viscosity effects. Zbl 1197.70012
Liu, Yu-Yu; Xin, Jack; Yu, Yifeng
3
2010
An introduction to fronts in random media. Zbl 1188.35003
Xin, Jack
22
2009
Asymptotic spreading of KPP reactive fronts in incompressible space-time random flows. Zbl 1177.35172
Nolen, James; Xin, Jack
16
2009
Bounds on front speeds for inviscid and viscous \(G\)-equations. Zbl 1256.35090
Nolen, James; Xin, Jack; Yu, Yifeng
7
2009
KPP fronts in a one-dimensional random drift. Zbl 1160.35443
Nolen, James; Xin, Jack
6
2009
A soft-constrained dynamic iterative method of blind source separation. Zbl 1177.94064
Liu, Jie; Xin, Jack; Qi, Yingyong
4
2009
A time domain algorithm for blind separation of convolutive sound mixtures and \(L_1\) constrained minimization of cross correlations. Zbl 1173.94373
Liu, Jie; Xin, Jack; Qi, Yingyong; Zheng, Fan-Gang
2
2009
Computing reactive front speeds in random flows by variational principle. Zbl 1155.76061
Nolen, James; Xin, Jack
2
2008
Finite element computations of Kolmogorov-Petrovsky-Piskunov front speeds in random shear flows in cylinders. Zbl 1400.76096
Shen, Lihua; Xin, Jack; Zhou, Aihui
1
2008
Breakdown of homogenization for the random Hamilton-Jacobi equations. Zbl 1207.70018
E, Weinan; Wehr, Jan; Xin, Jack
1
2008
A variational principle for KPP front speeds in temporally random shear flows. Zbl 1114.35095
Nolen, James; Xin, Jack
13
2007
Signal processing of acoustic signals in the time domain with an active nonlinear nonlocal cochlear model. Zbl 1163.94357
Lamar, M. Drew; Xin, Jack; Qi, Yingyong
1
2006
Existence of KPP fronts in spatially-temporally periodic advection and variational principle for propagation speeds. Zbl 1179.35166
Nolen, James; Rudd, Matthew; Xin, Jack
53
2005
Existence of KPP type fronts in space-time periodic shear flows and a study of minimal speeds based on variational principle. Zbl 1097.35072
Nolen, James; Xin, Jack
42
2005
A variational principle based study of KPP minimal front speeds in random shears. Zbl 1181.35135
Nolen, James; Xin, Jack
12
2005
A two-dimensional nonlinear nonlocal feed-forward cochlear model and time domain computation of multitone interactions. Zbl 1092.35113
Kim, Yongsam; Xin, Jack
5
2005
A numerical study of the light bullets interaction in the \((2+1)\) sine-Gordon equation. Zbl 1136.35456
Povich, T.; Xin, J.
1
2005
Min-max variational principle and front speeds in random shear flows. Zbl 1107.35366
Nolen, James; Xin, Jack
2
2004
Reaction-diffusion front speeds in spactially-temporally periodic shear flows. Zbl 1053.35068
Nolen, Jim; Xin, Jack
12
2003
KPP front speeds in random shears and the parabolic Anderson problem. Zbl 1052.35099
Xin, Jack
7
2003
Statistical analysis of a semilinear hyperbolic system advected by a white in time random velocity field. Zbl 1007.60066
Eyink, Gregory; Xin, Jack
3
2002
Modelling thermal front dynamics in microwave heating. Zbl 1029.80003
Mercado, Gema A.; Luce, Benjamin P.; Xin, Jack
1
2002
Diffusion-generated motion by mean curvature for filaments. Zbl 1037.35033
Ruuth, S. J.; Merriman, B.; Xin, J.; Osher, S.
18
2001
Modeling light bullets with the two-dimensional sine-Gordon equation. Zbl 0936.78006
Xin, J. X.
22
2000
Self-similar decay in the Kraichnan model of a passive scalar. Zbl 1008.76028
Eyink, Gregory L.; Xin, Jack
10
2000
Stability, relaxation, and oscillation of biodegradation fronts. Zbl 0964.35094
Xin, Jack X.; Hyman, James M.
1
2000
On the incompressible fluid limit and the vortex motion law of the nonlinear Schrödinger equation. Zbl 0920.35145
Lin, F.-H.; Xin, J. X.
42
1999
On the dynamical law of the Ginzburg-Landau vortices on the plane. Zbl 0935.35036
Lin, F.-H.; Xin, J. X.
10
1999
Existence of traveling waves in a biodegradation model for organic contaminants. Zbl 0957.92032
Murray, Regan; Xin, J. X.
1
1999
Front propagation in heterogeneous media. Zbl 0951.35060
Xin, Jack
160
1998
Global solutions to a reactive Boussinesq system with front data on an infinite domain. Zbl 0908.35104
Malham, Simon; Xin, Jack X.
7
1998
A unified approach to vortex motion laws of complex scalar field equations. Zbl 0930.35025
Lin, F.-H.; Xin, J. X.
3
1998
Global solutions and attractors of a Maxwell-Bloch Raman laser system in two transverse dimensions. Zbl 0909.35021
Xin, J.; Moloney, J.
2
1998
Wetting fronts in one-dimensional periodically layered soils. Zbl 0908.35017
Fennemore, George; Xin, Jack X.
1
1998
Front speed in the Burgers equation with a random flux. Zbl 0920.35141
Wehr, J.; Xin, J.
4
1997
Stability of traveling waves of a solute transport equation. Zbl 0884.35011
Xin, Jack X.
3
1997
A numerical study of fronts in random media using a reactive solute transport model. Zbl 0941.76084
Postel, Marie; Xin, Jack
1
1997
Global large time self-similarity of a thermal-diffusive combustion system with critical nonlinearity. Zbl 0862.35050
Bricmont, J.; Kupiainen, A.; Xin, J.
20
1996
Global existence and large time asymptotic bounds of \(L^ \infty\) solutions of thermal diffusive combustion systems on \(\mathbb{R}^ n\). Zbl 0882.35058
Collet, P.; Xin, J.
8
1996
White noise perturbation of the viscous shock fronts of the Burgers equation. Zbl 0858.60059
Wehr, J.; Xin, J.
7
1996
Dynamic stability of vortex solutions of Ginzburg-Landau and nonlinear Schrödinger equations. Zbl 0872.35105
Weinstein, M. I.; Xin, J.
6
1996
Quenching and propagation of bistable reaction-diffusion fronts in multidimensional periodic media. Zbl 0900.35193
Xin, Jack X.; Zhu, Jingyi
7
1995
Large time asymptotic of solutions to a model combustion system with critical nonlinearity. Zbl 0820.35081
Berlyand, L.; Xin, J.
4
1995
Existence of multidimensional traveling waves in the transport of reactive solutes through periodic porous media. Zbl 0819.76097
Xin, Jack X.
6
1994
Existence and nonexistence of traveling waves and reaction-diffusion front propagation in periodic media. Zbl 1102.35340
Xin, Jack X.
43
1993
Existence of a class of symmetric rotating spiral waves on finite disc domains in excitable media. Zbl 0791.35061
Xin, Jack
2
1993
Reactive flows in layered porous media. II: The shape stability of the reaction interface. Zbl 0772.35088
Xin, J.; Peirce, A.; Chadam, J.; Ortoleva, P.
2
1993
Existence of planar flame fronts in convective-diffusive periodic media. Zbl 0764.76074
Xin, Jack X.
60
1992
Multidimensional stability of traveling waves in a bistable reaction-diffusion equation. I. Zbl 0789.35019
Xin, Jack X.
56
1992
Multidimensional stability of traveling waves in a bistable reaction-diffusion equation. II. Zbl 0789.35020
Levermore, C. D.; Xin, Jack X.
53
1992
all top 5

Cited by 870 Authors

35 Xin, Jack X.
32 Shen, Wenxian
28 Hamel, François
14 Berestycki, Henri
13 Li, Wan-Tong
13 Nadin, Grégoire
13 Qi, Yuanwei
12 Lou, Yifei
11 Zlatoš, Andrej
10 Ryzhik, Lenya
10 Salako, Rachidi Bolaji
9 Liang, Xing
8 Bao, Weizhu
8 Zeng, Tie Yong
7 Chen, Xinfu
6 Bao, Xiongxiong
6 Lv, Guangying
6 Matano, Hiroshi
6 Osting, Braxton
6 Pang, Jong-Shi
6 Roques, Lionel J.
6 Rossi, Luca
6 Souganidis, Panagiotis E.
6 Spirn, Daniel P.
6 Wang, Zhi Cheng
6 Wang, Zhi Cheng
6 Yin, Penghang
6 Yu, Yifeng
5 Alfaro, Matthieu
5 Eyink, Gregory L.
5 Kiselev, Alexander A.
5 Le Thi, Hoai An
5 Lin, Fang Hua
5 Lin, Taichia
5 Nolen, James
5 Pong, Ting Kei
5 Shen, Zhongwei
5 Sheng, WeiJie
5 Wu, Shiliang
5 Zhao, Xiao-Qiang
4 Bu, Zhenhui
4 Ducrot, Arnaud
4 Griette, Quentin
4 Guo, Jong-Shenq
4 Holzer, Matt
4 Jerrard, Robert Leon
4 Kurzke, Matthias W.
4 Lin, Chikun
4 Lin, Guo
4 Liu, NaiWei
4 Ruan, Shigui
4 Wang, Mingxin
4 Zhang, Zhiwen
3 Ahn, Miju
3 Bo, Wei-Jian
3 Cardaliaguet, Pierre
3 Chen, Xiaojun
3 Constantin, Peter
3 Dehghan Takht Fooladi, Mehdi
3 Ding, Weiwei
3 Dong, Hongbo
3 Dong, Xuanchun
3 Du, Lijun
3 Faye, Grégory
3 Ghazaryan, Anna
3 Giletti, Thomas
3 Gustafson, Stephen J.
3 Henderson, Christopher
3 Hsu, Cheng-Hsiung
3 Hupkes, Hermen Jan
3 Kawasaki, Kohkichi
3 Latushkin, Yuri
3 Li, Fang
3 Liu, Gui Rong
3 Liu, Tianxiang
3 Liu, Zuhan
3 Lou, Bendong
3 Lu, Zhaosong
3 Lutscher, Frithjof
3 Moser, Roger
3 Novaga, Matteo
3 Osher, Stanley Joel
3 Ou, Chunhua
3 Pham Dinh Tao
3 Roquejoffre, Jean-Michel
3 Serfaty, Sylvia
3 Shigesada, Nanako
3 Sun, Yuanchang
3 Tran Vinh Hung
3 Vergni, Davide
3 Vladimirova, Natalia
3 Vulpiani, Angelo
3 Wang, Jianjun
3 Wang, Wendong
3 Wang, Yang
3 Wei, Juncheng
3 Yuan, Rong
3 Zhang, Aijun
3 Zhang, Ping
2 Ahmad, Bashir
...and 770 more Authors
all top 5

Cited in 169 Serials

50 Journal of Differential Equations
24 Archive for Rational Mechanics and Analysis
21 Physica D
15 Journal of Dynamics and Differential Equations
15 Discrete and Continuous Dynamical Systems
14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
13 Journal of Scientific Computing
12 Journal de Mathématiques Pures et Appliquées. Neuvième Série
11 Journal of Computational Physics
10 Communications on Pure and Applied Mathematics
10 Transactions of the American Mathematical Society
10 Communications in Partial Differential Equations
10 Mathematical Programming. Series A. Series B
10 Science China. Mathematics
9 Communications in Mathematical Physics
9 Journal of Mathematical Analysis and Applications
9 Journal of Functional Analysis
9 SIAM Journal on Scientific Computing
8 Computers & Mathematics with Applications
8 Inverse Problems
8 Journal of Computational and Applied Mathematics
8 SIAM Journal on Mathematical Analysis
8 Nonlinear Analysis. Real World Applications
8 SIAM Journal on Imaging Sciences
7 Journal of Statistical Physics
7 SIAM Journal on Optimization
7 Discrete and Continuous Dynamical Systems. Series B
7 Inverse Problems and Imaging
6 Journal of Mathematical Biology
6 Journal of Mathematical Physics
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 Proceedings of the American Mathematical Society
6 Calculus of Variations and Partial Differential Equations
6 Physics of Fluids
6 Communications in Nonlinear Science and Numerical Simulation
5 Applied Mathematics and Computation
5 Computational Optimization and Applications
5 Chaos
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Bulletin of Mathematical Biology
4 Mathematische Annalen
4 Memoirs of the American Mathematical Society
4 Applied Numerical Mathematics
4 Neural Networks
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 SIAM Journal on Applied Mathematics
4 Combustion Theory and Modelling
4 SIAM Journal on Applied Dynamical Systems
4 Multiscale Modeling & Simulation
3 Computer Physics Communications
3 Journal of Fluid Mechanics
3 Advances in Mathematics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Quarterly of Applied Mathematics
3 Journal of the American Mathematical Society
3 European Journal of Applied Mathematics
3 Journal of Global Optimization
3 Communications in Contemporary Mathematics
3 Communications on Pure and Applied Analysis
3 Analysis and Applications (Singapore)
2 Computer Methods in Applied Mechanics and Engineering
2 Nonlinearity
2 Physica A
2 SIAM Journal on Control and Optimization
2 SIAM Journal on Numerical Analysis
2 Circuits, Systems, and Signal Processing
2 Acta Applicandae Mathematicae
2 Optimization
2 Applied Mathematics Letters
2 Annals of Operations Research
2 Numerical Algorithms
2 Applied Mathematical Modelling
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Journal of Nonlinear Science
2 Applied and Computational Harmonic Analysis
2 Advances in Computational Mathematics
2 Electronic Journal of Probability
2 The Journal of Fourier Analysis and Applications
2 Abstract and Applied Analysis
2 Taiwanese Journal of Mathematics
2 Discrete Dynamics in Nature and Society
2 Journal of Turbulence
2 Stochastics and Dynamics
2 Networks and Heterogeneous Media
2 Mathematical Modelling of Natural Phenomena
2 Discrete and Continuous Dynamical Systems. Series S
1 Applicable Analysis
1 Biological Cybernetics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal d’Analyse Mathématique
1 Journal of the Franklin Institute
1 Mathematical Biosciences
1 Mathematical Methods in the Applied Sciences
1 Physics Reports
1 Reviews of Modern Physics
1 Wave Motion
1 Mathematics of Computation
1 Reviews in Mathematical Physics
1 Annales de l’Institut Fourier
...and 69 more Serials
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Cited in 36 Fields

412 Partial differential equations (35-XX)
116 Biology and other natural sciences (92-XX)
102 Numerical analysis (65-XX)
78 Fluid mechanics (76-XX)
71 Operations research, mathematical programming (90-XX)
47 Dynamical systems and ergodic theory (37-XX)
44 Statistical mechanics, structure of matter (82-XX)
40 Information and communication theory, circuits (94-XX)
39 Probability theory and stochastic processes (60-XX)
38 Classical thermodynamics, heat transfer (80-XX)
37 Ordinary differential equations (34-XX)
35 Calculus of variations and optimal control; optimization (49-XX)
25 Computer science (68-XX)
19 Operator theory (47-XX)
17 Optics, electromagnetic theory (78-XX)
15 Integral equations (45-XX)
14 Linear and multilinear algebra; matrix theory (15-XX)
14 Statistics (62-XX)
12 Differential geometry (53-XX)
8 Mechanics of particles and systems (70-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Global analysis, analysis on manifolds (58-XX)
7 Quantum theory (81-XX)
6 Combinatorics (05-XX)
6 Geophysics (86-XX)
5 Mechanics of deformable solids (74-XX)
4 Systems theory; control (93-XX)
3 Difference and functional equations (39-XX)
3 Approximations and expansions (41-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Functional analysis (46-XX)
2 History and biography (01-XX)
2 Measure and integration (28-XX)
1 General and overarching topics; collections (00-XX)
1 Topological groups, Lie groups (22-XX)
1 Geometry (51-XX)

Citations by Year