Wenjia Jing's Publications

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Acknowledgements: My works have been supported by:

Papers and preprints

Note: The preprint versions of papers listed below may be slightly different from the published versions.

  1. Unified quantitative analysis of the Stokes equations in dilute perforated domains via layer potentials. (with C. Prange and Y. Lu). [arXiv:2409.16960], submitted.

  2. Wave packets propagation in the subwavelength regime near the Dirac point. (with H. Ammari and X. Fu). [arXiv:2409.04097], submitted.

  3. Quantitative homogenization of state-constraint Hamilton--Jacobi equations on perforated domains and applications. (with Y. Han, H. Mitake and H. V. Tran). [arXiv:2405.01408], submitted.

  4. Convergence rate and uniform Lipschitz estimate in periodic homogenization of high-contrast elliptic systems. (with X. Fu). [arXiv:2404.11396], submitted.

  5. On the periodic homogenization of elliptic equations in non-divergence form with large drifts. (with Y. Zhang). [arXiv:2302.01157], Multiscale Modeling & Simulations, 21 (2023), no.4, 1486--1501.

  6. Uniform convergence for linear elastostatic systems with periodic high contrast inclusions. (with X. Fu). [arXiv:2207.05367], Partial Differ. Equ. Appl., 5 (2024), paper no.2, 39 pages.

  7. Effective fronts of polygon shapes in two dimensions. (with H. V. Tran and Y. Yu). [arXiv:2112.10747], SIAM J. Math. Anal., 55 (2023), no.6, 6764--6777.

  8. Convergence rate for the homogenization of stationary diffusions in dilutely perforated domains with reflecting boundaries. [arXiv:2108.08533] Minimax Theory and its Applications, 8 (2023), no.1, 85--108.

  9. High order homogenized Stokes models capture all three regimes. (with F. Feppon). [HAL-03098222] SIAM J. Math. Anal. 54 (2022), no. 4, 5013--5040.

  10. Layer potentials for Lamé systems and homogenization of perforated elastic medium with clamped holes. [arXiv:2007.03333], [Journal] Calculus of Variations and PDEs 60 (2021), paper No.2.

  11. Effective Fronts of Polytope Shapes. (with H. V. Tran and Y. Yu). [arXiv:1909.11067] Minimax Theory and its Applications, 5 (2020), no. 2, 347--360.

  12. Generalized Ergodic Problems: Existence and Uniqueness Structures of Solutions. (with H. Mitake and H. V. Tran). [arXiv:1902.05034] J. Differential Equations, 268 (2020), no. 6, 2886--2909.

  13. A unified homogenization approach for the Dirichlet problem in perforated domains. [arXiv:1901.08251], SIAM J. Math. Anal. 52 (2020), no.2, 1192--1220.

  14. A backscattering model based on corrector theory of homogenization for the random Helmholtz equation. (with O. Pinaud) [arXiv:1805:02822], DCDS-B 24 (2019), no. 10, 5377--5407.

  15. Stochastic homogenization of viscous superquadratic Hamilton-Jacobi equations in dynamic random environment. (with P. E. Souganidis and H. V. Tran). [arXiv:1606.06409] Research in the Mathematical Sciences (2017), Paper No. 6, 20pp.

  16. Inverse problems, non-roundedness and flat pieces of the effective burning velocity from an inviscid quadratic Hamilton-Jacobi model. (with H. V. Tran and Y. Yu) [arXiv:1602.04728] Nonlinearity, 30 (2017), no. 5, 1853--1875.

  17. Homogenization of interfaces moving in spatially random temporally periodic environment. (with P. E. Souganidis and H. V. Tran). [mathscidoc:1806.03001] Preprint (2016)

  18. Fluctuations in the Homogenization of Semilinear Equations with Random Potentials. (with G. Bal) [arXiv:1509.05321] Comm. Partial Differential Equations, 42 (2016), no.12, pp. 1839--1859.

  19. Limiting distribution of elliptic homogenization error with periodic diffusion and random potential. [arXiv:1505.02721] Analysis & PDE, 9 (2016), no. 1, pp. 193--228.

  20. Large time average of reachable sets and Applications to Homogenization of interfaces moving with oscillatory spatio-temporal velocity. (with P. E. Souganidis and H. V. Tran) [arXiv:1408.2013] DCDS-S 11 (2018), no.5, 915--939.

  21. Homogenization of Randomly Deformed Conductivity Resistant Membranes, [arXiv:1406.0580] Commun. Math. Sci., 14 (2016), no.5, 1237--1268.

  22. Spectroscopic imaging of a dilute cell suspension. (with H. Ammari, J. Garnier, L. Giovangigli and J.K. Seo), [PDF] J. Math. Pures Appl. , 105 (2016), no.5, 603--661.

  23. Localization, stability and resolution of topological derivative based imaging functionals in elasticity. (with H. Ammari, E. Bretin, J. Garnier, H. Kang and A. Wahab), [arXiv:1210.6760] SIAM J. Imaging Sci. , 6 (2013), no. 4, 2174-2212.

  24. Passive array correlation based imaging in weakly random waveguide. (with H. Ammari and J. Garnier), [arXiv:1211.0682] Multiscale Modeling and Simulation, 11 (2013), no.2, pp. 656-681.

  25. Corrector analysis of a heterogeneous multi-scale scheme for elliptic equations with random potential. (with G. Bal), [arXiv:1209.4974] Mathematical Modeling and Numerical Analysis (M2AN), 48 (2014), no. 2, 387-409.

  26. Radiative transfer and diffusion limits for wave field correlations in locally shifted random media. (with H. Ammari, E. Bossy, J. Garnier and L. Seppecher), [arXiv:1207.1604] , J. Math. Phys. , 54 (2013), 021501.

  27. Target identification using dictionary matching of Generalized Polarization Tensors. (with H. Ammari, T. Boulier, J. Garnier, H. Kang and H. Wang), [arXiv:1204.3035] Found. Comput. Math., 14 (2014), no. 1, 27-62.

  28. Quantitative thermo-acoustic imaging: an exact formula. (with H. Ammari, J. Garnier and L. Nguyen), [arXiv:1201.0619] J. Differential Equations, 254 (2013), No.3, pp. 1375--1395.

  29. Resolution and stability analysis in acousto-electric imaging. (with H. Ammari and J. Garnier), [PDF] Inverse Problems 28 (2012), 084005.

  30. Corrector theory for elliptic equations with oscillatory and random potentials with long range correlations. (with G. Bal, J. Garnier and Y. Gu), [PDF] Asymptotic Analysis, 77 (2012), No. 3-4, pp. 123-145.

  31. Corrector theory for MsFEM and HMM in random media. (with G. Bal), [PDF] [Journal] Multiscale Modeling and Simulation 9 (2011), pp. 1549-1587.

  32. Corrector theory for elliptic equations in random media with singular Green's function (with G. Bal), [PDF] [Journal] Commun. Math. Sci. 9 (2011), No. 2, pp. 383-411.

  33. Homogenization and Corrector Theory for Linear Transport in Random Media (with G. Bal), [PDF] [Journal] Discrete Contin. Dyn. Syst. 28 (2010), No. 4, 1311-1343.

  34. Fluctuation theory for radiative transfer in random media (with G. Bal), [PDF] [Journal] Journal of Quantitative Spectroscopy & Radiative Transfer, 112 (2011), No. 4, pp. 660-670.

Book

  1. Mathematical and Statistical Methods for Multistatic Imaging. (with H. Ammari, J. Garnier, H. Kang, M. Lim, K. Solna, and H. Wang), Lecture Notes in Mathematics, Springer-Verlag, Cham, 2013.

Book Chapters

  1. Uncertainty modeling and propagation in linear kinetic equations, (with G. Bal and O. Pinaud), in Uncertainty quantification for hyperbolic and kinetic equations, pp. 59--92, SEMA-SIMAI Springer Ser., 14, Springer, Cham 2017.

Conference Proceedings

  1. On the homogenization of a front propagation model in oscillatory environments, to appear in Proceedings of the 8th ICCM.