{"id":2,"date":"2023-08-02T14:13:21","date_gmt":"2023-08-02T18:13:21","guid":{"rendered":"https:\/\/sites.temple.edu\/ignatova\/?page_id=2"},"modified":"2024-08-07T09:57:23","modified_gmt":"2024-08-07T13:57:23","slug":"sample-page","status":"publish","type":"page","link":"https:\/\/sites.temple.edu\/ignatova\/","title":{"rendered":"Mihaela Ignatova"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"900\" height=\"950\" src=\"https:\/\/sites.temple.edu\/ignatova\/files\/2023\/08\/MI5-1.png\" alt=\"\" class=\"wp-image-6\" style=\"width:245px;height:258px\" srcset=\"https:\/\/sites.temple.edu\/ignatova\/files\/2023\/08\/MI5-1.png 900w, https:\/\/sites.temple.edu\/ignatova\/files\/2023\/08\/MI5-1-284x300.png 284w, https:\/\/sites.temple.edu\/ignatova\/files\/2023\/08\/MI5-1-768x811.png 768w\" sizes=\"auto, (max-width: 900px) 100vw, 900px\" \/><\/figure>\n\n\n\n<p>Associate Professor<\/p>\n\n\n\n<p><a href=\"https:\/\/math.temple.edu\/\" data-type=\"URL\" data-id=\"https:\/\/math.temple.edu\/\">Department of Mathematics<\/a><br>Temple University<\/p>\n\n\n\n<p>1805 North Broad Street<br>Philadelphia, PA 19122-6094<\/p>\n\n\n\n<p>email: ignatova at temple dot edu<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\n\n\n\n<p><a href=\"https:\/\/sites.temple.edu\/ignatova\/files\/2024\/08\/CV-Ign.pdf\" data-type=\"attachment\" data-id=\"43\">CV<\/a><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\" \/>\n\n\n\n<h2 class=\"wp-block-heading\">Publications and Preprints<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>37. P. Constantin, M. Ignatova, Q.H. Nguyen, Global regularity for critical SQG in bounded domains, accepted at CPAM (2024). arXiv:2312.12265 [math.AP]<a href=\"https:\/\/sites.temple.edu\/ignatova\/files\/2024\/08\/sqgcin.pdf\" data-type=\"link\" data-id=\"https:\/\/sites.temple.edu\/ignatova\/files\/2024\/08\/sqgcin.pdf\">.pdf<\/a><\/li>\n\n\n\n<li>36. M. Ignatova, 2D Voigt Boussinesq Equations, J. Math. Fluid Mech. 26, 15 (2024)<a href=\"https:\/\/sites.temple.edu\/ignatova\/files\/2024\/08\/ivb_revised.pdf\" data-type=\"link\" data-id=\"https:\/\/sites.temple.edu\/ignatova\/files\/2024\/08\/ivb_revised.pdf\">.pdf<\/a><\/li>\n\n\n\n<li>35. E. Abdo, M. Ignatova, Long time dynamics of electroconvection in bounded domains, submitted (2024)<a href=\"https:\/\/sites.temple.edu\/ignatova\/files\/2024\/08\/ElectroBD.pdf\" data-type=\"link\" data-id=\"https:\/\/sites.temple.edu\/ignatova\/files\/2024\/08\/ElectroBD.pdf\">.pdf<\/a><\/li>\n\n\n\n<li>34. E. Abdo, M. Ignatova, Long Time Dynamics of Nernst-Planck-Navier-Stokes Systems, Journal of Differential Equations 379, 3,&nbsp; 794&#8211;828 (2024)<a href=\"https:\/\/sites.temple.edu\/ignatova\/files\/2024\/08\/NPNS-d.pdf\" data-type=\"link\" data-id=\"https:\/\/sites.temple.edu\/ignatova\/files\/2024\/08\/NPNS-d.pdf\">.pdf<\/a><\/li>\n\n\n\n<li>33. E. Abdo, N. Glatt-Holtz, M. Ignatova, Unique Ergodicity in Stochastic Electroconvection, Nonlinear Differential Equations and Applications NoDEA 31 (4) pp 67. (2024)<a href=\"https:\/\/sites.temple.edu\/ignatova\/files\/2024\/08\/AGHI.pdf\" data-type=\"link\" data-id=\"https:\/\/sites.temple.edu\/ignatova\/files\/2024\/08\/AGHI.pdf\">.pdf<\/a><\/li>\n\n\n\n<li>32. E. Abdo, M. Ignatova, Long Time Behavior of Solutions of an Electroconvection Model in R<sup>2<\/sup>,&nbsp;J. Evol. Equ. 24, 13 (2024). arXiv:2207.06510 [math.AP]<a href=\"https:\/\/sites.temple.edu\/ignatova\/files\/2024\/08\/abig5.pdf\" data-type=\"link\" data-id=\"https:\/\/sites.temple.edu\/ignatova\/files\/2024\/08\/abig5.pdf\">.pdf<\/a><\/li>\n\n\n\n<li>31. P. Constantin, M. Ignatova, F.-N. Lee, Existence and Stability of Nonequilibrium Steady States of Nernst-Planck-Navier-Stokes Systems, Physica D: Nonlinear Phenomena, 422 (2022). arXiv:2205.11553 [math.AP]. <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/abs\/pii\/S0167278922002408\" data-type=\"URL\" data-id=\"https:\/\/www.sciencedirect.com\/science\/article\/abs\/pii\/S0167278922002408\">publication<\/a> <\/li>\n\n\n\n<li>30. M. Ignatova, J. Shu, Global Smooth Solutions of the Nernst-Planck-Darcy System, J. Math. Fluid Mech. 24, 1, (2022) pp 21. arXiv:2107.13655 [math.AP]. <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s00021-022-00666-7\" data-type=\"URL\" data-id=\"https:\/\/link.springer.com\/article\/10.1007\/s00021-022-00666-7\">publication <\/a><\/li>\n\n\n\n<li>29. E. Abdo, M. Ignatova, On Electroconvection in Porous Media, to appear in Indiana Univ. Math. J. (2023).<\/li>\n\n\n\n<li>28. E. Abdo, M. Ignatova, On the Space Analyticity of the Nernst-Planck-Navier-Stokes system, J. Math. Fluid Mech. 24, 2 (2022). <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s00021-022-00665-8\" data-type=\"URL\" data-id=\"https:\/\/link.springer.com\/article\/10.1007\/s00021-022-00665-8\">publication<\/a><\/li>\n\n\n\n<li>27. M. Ignatova, J. Shu, Global Solutions of the Nernst-Planck-Euler Equations, SIAM J. Math. Anal., 53(5), (2021) 5507\u20135547. arXiv:2101.03199 [math.AP]. <a href=\"https:\/\/epubs.siam.org\/doi\/abs\/10.1137\/21M1390864?journalCode=sjmaah\" data-type=\"URL\" data-id=\"https:\/\/epubs.siam.org\/doi\/abs\/10.1137\/21M1390864?journalCode=sjmaah\">publication<\/a> <\/li>\n\n\n\n<li>26. P. Constantin, M. Ignatova, F.-N. Lee, Interior Electroneutrality in Nernst-Planck-Navier-Stokes Systems, Arch Rational Mech Anal 242 (2021), 1091\u20131118 (2021). arXiv:2011.15057 [math.AP]. <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s00205-021-01700-0\" data-type=\"URL\" data-id=\"https:\/\/link.springer.com\/article\/10.1007\/s00205-021-01700-0\">publication<\/a><\/li>\n\n\n\n<li>25. E. Abdo, M. Ignatova, Long Time Finite Dimensionality in Charged Fluids, Nonlinearity 34 (2021) no. 9, 6173\u20136209. <a href=\"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6544\/ac13bf\/meta\" data-type=\"URL\" data-id=\"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6544\/ac13bf\/meta\">publication<\/a> <\/li>\n\n\n\n<li>24. P. Constantin, M. Ignatova, F.-N. Lee, Nernst-Planck-Navier-Stokes systems far from equilibrium, Arch Rational Mech Anal 240, 1147\u20131168 (2021). arXiv:2008.10462 [math.AP]. <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s00205-021-01630-x\" data-type=\"URL\" data-id=\"https:\/\/link.springer.com\/article\/10.1007\/s00205-021-01630-x\">publication<\/a><\/li>\n\n\n\n<li>23. P. Constantin, M. Ignatova, F.-N. Lee, Nernst-Planck-Navier-Stokes systems near equilibrium, Pure and Applied Functional Analysis, 7,1 (2022). arXiv:2008.10440 [math.AP]. <a href=\"http:\/\/yokohamapublishers.jp\/online2\/oppafa\/vol7\/p175.html\" data-type=\"URL\" data-id=\"http:\/\/yokohamapublishers.jp\/online2\/oppafa\/vol7\/p175.html\">publication<\/a><\/li>\n\n\n\n<li>22. E. Abdo, M. Ignatova, Long time dynamics of a model of electroconvection, Trans. Amer. Math. Soc. 374 (2021), 5849\u20135875. <a href=\"https:\/\/www.ams.org\/journals\/tran\/2021-374-08\/S0002-9947-2021-08394-4\/\" data-type=\"URL\" data-id=\"https:\/\/www.ams.org\/journals\/tran\/2021-374-08\/S0002-9947-2021-08394-4\/\">publication<\/a><\/li>\n\n\n\n<li>21. P. Constantin, M. Ignatova, Estimates near the boundary for critical SQG, Ann. PDE, 6 (1) (2020). <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s40818-020-00079-7\" data-type=\"URL\" data-id=\"https:\/\/link.springer.com\/article\/10.1007\/s40818-020-00079-7\">publication<\/a> <\/li>\n\n\n\n<li>20. M. Ignatova, Construction of solutions of the critical SQG equation in bounded domains, Advances in Mathematics, 351 (2019), 1000\u20131023. <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0001870819302762\" data-type=\"URL\" data-id=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0001870819302762\">publication<\/a><\/li>\n\n\n\n<li>19. P. Constantin, M. Ignatova, On the Nernst-Planck-Navier-Stokes system, Archive for Rational Mechanics and Analysis, 232 (2019) no. 3, 1379\u20131428. <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s00205-018-01345-6\" data-type=\"URL\" data-id=\"https:\/\/link.springer.com\/article\/10.1007\/s00205-018-01345-6\">publication<\/a><\/li>\n\n\n\n<li>18. P. Constantin, M. Ignatova, H.Q. Nguyen, Inviscid limit for SQG in bounded domains, SIAM J. Math. Anal. 50 (2018), no. 6, 6196\u20136207. <a href=\"https:\/\/epubs.siam.org\/doi\/abs\/10.1137\/18M1192743\" data-type=\"URL\" data-id=\"https:\/\/epubs.siam.org\/doi\/abs\/10.1137\/18M1192743\">publication<\/a><\/li>\n\n\n\n<li>17. P. Constantin, T. Elgindi, M. Ignatova, V. Vicol, On some electroconvection models, Journal of Nonlinear Science 27 (2017), no. 1, 197\u2013211. <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s00332-016-9329-2\" data-type=\"URL\" data-id=\"https:\/\/link.springer.com\/article\/10.1007\/s00332-016-9329-2\">publication<\/a><\/li>\n\n\n\n<li>16. P. Constantin, T. Elgindi, M. Ignatova, V. Vicol, Remarks on the inviscid limit for the Navier-Stokes equations for uniformly bounded velocity fields, SIAM J. Math. Anal. 49 (2017) no. 3, 1932\u20131946. <a href=\"https:\/\/epubs.siam.org\/doi\/10.1137\/15M1054572\" data-type=\"URL\" data-id=\"https:\/\/epubs.siam.org\/doi\/10.1137\/15M1054572\">publication<\/a><\/li>\n\n\n\n<li>15. P. Constantin and M. Ignatova, Critical SQG in bounded domains, Ann. PDE, 2 (2016), no 8. <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s40818-016-0017-1\" data-type=\"URL\" data-id=\"https:\/\/link.springer.com\/article\/10.1007\/s40818-016-0017-1\">publication<\/a><\/li>\n\n\n\n<li>14. M. Ignatova and I. Kukavica, On the local existence of the free-surface Euler equation with surface tension, Asymptotic Analysis, 100 (2016), no. 1-2, pp. 63\u201386. <a href=\"https:\/\/content.iospress.com\/download\/asymptotic-analysis\/asy1386?id=asymptotic-analysis%2Fasy1386\" data-type=\"URL\" data-id=\"https:\/\/content.iospress.com\/download\/asymptotic-analysis\/asy1386?id=asymptotic-analysis%2Fasy1386\">publication<\/a><\/li>\n\n\n\n<li>13. P. Constantin and M. Ignatova, Remarks on the fractional Laplacian with Dirichlet boundary conditions and applications, Int Math Res Notices 2017 (2017), no. 6, 1653\u20131673. <a href=\"https:\/\/academic.oup.com\/imrn\/article-abstract\/2017\/6\/1653\/3060678?redirectedFrom=fulltext\" data-type=\"URL\" data-id=\"https:\/\/academic.oup.com\/imrn\/article-abstract\/2017\/6\/1653\/3060678?redirectedFrom=fulltext\">publication<\/a><\/li>\n\n\n\n<li>12. M. Ignatova, I. Kukavica, I. Lasiecka, and A. Tuffaha, Small data global existence for a fluid-structure model, Nonlinearity 30 (2017), no. 2, 848\u2013898. <a href=\"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6544\/aa4ec4\" data-type=\"URL\" data-id=\"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6544\/aa4ec4\">publication<\/a><\/li>\n\n\n\n<li>11. M. Ignatova and V. Vicol, Almost global existence for the Prandtl boundary layer equations, Archive for Rational Mechanics and Analysis 220 (2016), no. 2, 809\u2013848. <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s00205-015-0942-2\" data-type=\"URL\" data-id=\"https:\/\/link.springer.com\/article\/10.1007\/s00205-015-0942-2\">publication<\/a><\/li>\n\n\n\n<li>10. M. Ignatova, G. Iyer, J. Kelliher, R. Pego, and A. Zarnescu, Global well-posedness results for two extended Navier-Stokes systems, Commun. Math. Sci. 13 (2015), no. 1, 249\u2013267. <a href=\"https:\/\/content.intlpress.com\/journal\/CMS\/article\/11385\/info\" data-type=\"URL\" data-id=\"https:\/\/content.intlpress.com\/journal\/CMS\/article\/11385\/info\">publication<\/a><\/li>\n\n\n\n<li>9. M. Ignatova, On the continuity of solutions to advection-diffusion equations with slightly supercritical divergence-free drifts, Advances in Nonlinear Analysis 3 (2014), no. 2, 81\u201386. <a href=\"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/anona-2013-0031\/html?lang=en\" data-type=\"URL\" data-id=\"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/anona-2013-0031\/html?lang=en\">publication<\/a><\/li>\n\n\n\n<li>8. M. Ignatova, I. Kukavica, I. Lasiecka, and A. Tuffaha, On well-posedness and small data global existence for an interface damped free boundary fluid-structure model, Nonlinearity 27 (2014), no. 3, 467\u2013499. <a href=\"https:\/\/iopscience.iop.org\/article\/10.1088\/0951-7715\/27\/3\/467\" data-type=\"URL\" data-id=\"https:\/\/iopscience.iop.org\/article\/10.1088\/0951-7715\/27\/3\/467\">publication<\/a><\/li>\n\n\n\n<li>7. M. Ignatova, I. Kukavica, and L. Ryzhik, The Harnack inequality for second-order parabolic equations with divergence-free drifts of low regularity, Comm. PDEs 41 (2016), no. 2, 208\u2013226. <a href=\"https:\/\/www.tandfonline.com\/doi\/abs\/10.1080\/03605302.2015.1116557?journalCode=lpde20\" data-type=\"URL\" data-id=\"https:\/\/www.tandfonline.com\/doi\/abs\/10.1080\/03605302.2015.1116557?journalCode=lpde20\">publication<\/a><\/li>\n\n\n\n<li>6. M. Ignatova, I. Kukavica, and L. Ryzhik, The Harnack inequality for second-order elliptic equations with divergence-free drifts, Commun. Math. Sci. (2014) 12, no. 4, 681\u2013694. <a href=\"https:\/\/content.intlpress.com\/journal\/CMS\/article\/11015\/info\" data-type=\"URL\" data-id=\"https:\/\/content.intlpress.com\/journal\/CMS\/article\/11015\/info\">publication<\/a><\/li>\n\n\n\n<li>5. M. Ignatova, I. Kukavica, I. Lasiecka, and A. Tuffaha, On the well-posedness for a free boundary fluid-structure model, J. Math. Phys. 53 (2012), no. 11, 115624, 13pp. <a href=\"https:\/\/pubs.aip.org\/aip\/jmp\/article-abstract\/53\/11\/115624\/232064\/On-well-posedness-for-a-free-boundary-fluid?redirectedFrom=fulltext\" data-type=\"URL\" data-id=\"https:\/\/pubs.aip.org\/aip\/jmp\/article-abstract\/53\/11\/115624\/232064\/On-well-posedness-for-a-free-boundary-fluid?redirectedFrom=fulltext\">publication<\/a><\/li>\n\n\n\n<li>4. M. Ignatova, I. Kukavica, and M. Ziane, Local existence of solutions to the free boundary value problem for the primitive equations of the ocean, J. Math. Phys. 53 (2012), no. 10, 103101, 17pp. <a href=\"https:\/\/pubs.aip.org\/aip\/jmp\/article-abstract\/53\/10\/103101\/983825\/Local-existence-of-solutions-to-the-free-boundary?redirectedFrom=fulltext\" data-type=\"URL\" data-id=\"https:\/\/pubs.aip.org\/aip\/jmp\/article-abstract\/53\/10\/103101\/983825\/Local-existence-of-solutions-to-the-free-boundary?redirectedFrom=fulltext\">publication<\/a><\/li>\n\n\n\n<li>3. M. Ignatova and I. Kukavica, Strong unique continuation for the Navier-Stokes equation with non-analytic forcing, J. Dynam. and Differential Equations 25 (2013), no. 1, 1\u201315. <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s10884-012-9282-1\" data-type=\"URL\" data-id=\"https:\/\/link.springer.com\/article\/10.1007\/s10884-012-9282-1\">publication<\/a><\/li>\n\n\n\n<li>2. M. Ignatova and I. Kukavica, Strong unique continuation for higher order elliptic equations with Gevrey coefficients, J. Differential Equations 252, (2012), no. 4, 2983\u20133000. <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0022039611004979\" data-type=\"URL\" data-id=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0022039611004979\">publication<\/a><\/li>\n\n\n\n<li>1. M. Ignatova and I. Kukavica, Unique continuation and complexity of solutions to parabolic partial differential equations with Gevrey coefficients, Adv. Differential Equations 15 (2010), no. 9, 953\u2013975. <a href=\"https:\/\/projecteuclid.org\/journals\/advances-in-differential-equations\/volume-15\/issue-9_2f_10\/Unique-continuation-and-complexity-of-solutions-to-parabolic-partial-differential\/ade\/1355854617.full\" data-type=\"URL\" data-id=\"https:\/\/projecteuclid.org\/journals\/advances-in-differential-equations\/volume-15\/issue-9_2f_10\/Unique-continuation-and-complexity-of-solutions-to-parabolic-partial-differential\/ade\/1355854617.full\">publication<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Associate Professor Department of MathematicsTemple University 1805 North Broad StreetPhiladelphia, PA 19122-6094 email: ignatova at temple dot edu CV Publications and Preprints<\/p>\n","protected":false},"author":15388,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["post-2","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/sites.temple.edu\/ignatova\/wp-json\/wp\/v2\/pages\/2","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.temple.edu\/ignatova\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.temple.edu\/ignatova\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.temple.edu\/ignatova\/wp-json\/wp\/v2\/users\/15388"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.temple.edu\/ignatova\/wp-json\/wp\/v2\/comments?post=2"}],"version-history":[{"count":37,"href":"https:\/\/sites.temple.edu\/ignatova\/wp-json\/wp\/v2\/pages\/2\/revisions"}],"predecessor-version":[{"id":61,"href":"https:\/\/sites.temple.edu\/ignatova\/wp-json\/wp\/v2\/pages\/2\/revisions\/61"}],"wp:attachment":[{"href":"https:\/\/sites.temple.edu\/ignatova\/wp-json\/wp\/v2\/media?parent=2"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}