Ondˇ rej Kreml, Mgr., Ph.D.
Kontaktn´ı informace
Osobn´ı data Funkce na pracoviˇ sti ˇr ˇen´ı Zame
Bˇrezen 2015
ˇ v.v.i. Matematick´ yu ´stav AV CR, ˇ Zitn´ a 25 115 67 Praha 1
tel.: (+420) 222 010 736 email:
[email protected] web: http://math.cas.cz/∼kreml
ˇ Narozen 26. u ´nora 1983 v Sumperku, ˇzenat´ y, jedno d´ıtˇe 2010 - souˇcasnost: postdoktorand Matematick´ a anal´ yza parci´ aln´ıch diferenci´ aln´ıch rovnic popisuj´ıc´ıch proudˇen´ı tekutin, konkr´etnˇe • Nestlaˇciteln´e vazk´e proudˇen´ı: Navier-Stokesovy rovnice - krit´eria regularity ˇreˇsen´ı, v´ıce komplexn´ı syst´emy rovnic pro nenewtonovsk´e proudˇen´ı - existence slab´ ych ˇreˇsen´ı • Stlaˇciteln´e vazk´e proudˇen´ı: stlaˇciteln´e Navier-Stokesovy rovnice a u ´pln´ y Navier-StokesFourier˚ uv syst´em - singul´arn´ı limity, existence slab´ ych ˇreˇsen´ı na ˇcasovˇe z´avisl´ ych oblastech, v´ıce komplexn´ı syst´emy - existence slab´ ych ˇreˇsen´ı • Nevazk´e proudˇen´ı: Jednoznaˇcnost a nejednoznaˇcnost slab´ ych ˇreˇsen´ı stlaˇciteln´ ych Eulerov´ ych rovnic, krit´eria pˇr´ıpustnosti, Riemann˚ uv probl´em
ˇ la ´ n´ı Vzde
Ph.D. (2010) Univerzita Karlova v Praze Matematicko-fyzik´ aln´ı fakulta, program: Fyzika, obor: Matematick´e a poˇc´ıtaˇcov´e modelov´ an´ı • N´ azev dizertaˇcn´ı pr´ ace: Mathematical analysis of models for viscoelastic fluids ˇ • Skolitel: doc. Mgr. Milan Pokorn´ y, Ph.D. Mgr. (2006) Univerzita Karlova v Praze Matematicko-fyzik´ aln´ı fakulta, program: Matematika, obor: Matematick´e a poˇc´ıtaˇcov´e modelov´ an´ı ve fyzice a technice, summa cum laude • N´ azev diplomov´e pr´ace: Osovˇe symetrick´e proudˇen´ı visk´ ozn´ı newtonovsk´e tekutiny ˇ • Skolitel: doc. Mgr. Milan Pokorn´ y, Ph.D.
ˇehled Pr dosavadn´ıch ˇstna ´ n´ı zame
ˇ v.v.i., postdoktorand • 2010 - souˇcasnost: Matematick´ yu ´stav AV CR, • 2012 - 2013: Universit¨at Z¨ urich, Institut f¨ ur Mathematik, postdoc • 2005 - 2011: Univerzita Karlova v Praze, Matematicko-fyzik´aln´ı fakulta, odborn´y asistent, ˇc´ asteˇcn´y u ´vazek v´ yuka: cviˇcen´ı z Matematick´e anal´ yzy • 2006: Univerzita Pardubice, Fakulta ekonomicko-spr´avn´ı, odborn´y asistent, ˇc´ asteˇcn´y u ´vazek v´ yuka: cviˇcen´ı z Matematiky
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´ˇ Sta ze a studijn´ı pobyty
´c ˇast na r ˇeˇ U sen´ı ´ ch tuzemsky grant˚ u
• 10/2012 - 01/2013 a 05/2013 - 12/2013: Universit¨at Z¨ urich, Institut f¨ ur Mathematik (Prof. De Lellis), postdoc v r´amci projektu SCIEX 11.152
• GA13-00522S Kvalitativn´ı anal´ yza a numerick´e ˇreˇsen´ı probl´em˚ u proudˇen´ı v obecnˇe ˇcasovˇe z´ avisl´ ych oblastech s r˚ uzn´ ymi okrajov´ ymi podm´ınkami, ˇresitel´e prof. Miloslav ´ AV) Feistauer (MFF UK), prof. Eduard Feireisl (MU ˇ Financov´ ano Grantovou agenturou Cesk´e republiky ˇclen t´ymu 2013 - souˇcasnost • GAP201/11/1304 Proudˇen´ı tekutin v oblastech s mˇen´ıc´ı se geometri´ı, ˇresitel´e RNDr. ˇarka Neˇcasov´ ´ AV), doc. Petr Knobloch (MFF UK), doc. Stanislav Kraˇcmar S´ a (MU ˇ (FS CVUT) ˇ e republiky Financov´ ano Grantovou agenturou Cesk´ ˇclen t´ymu 2011 - 2013 • GAUK 2509/2007 Matematick´e modely viskoelastick´ ych tekutin - teoretick´ a a poˇc´ıtaˇcov´ a anal´ yza Financov´ ano Grantovou agenturou Univerzity Karlovy hlavn´ı ˇreˇsitel 2007 - 2009 • LC06052 Centrum Jindˇricha Neˇcase pro matematick´e modelov´an´ı, ˇreˇsitel´e prof. Josef ´ AV), doc. Michal Beneˇs (FJFI CVUT) ˇ M´ alek (MFF UK), prof. Eduard Feireisl (MU ˇ Centrum z´ akladn´ıho v´ yzkumu, financov´ano MSMT student a doktorand 2006 - 2009
´c ˇast na U ´ rodn´ıch mezina projektech
´c ˇast na U ´ rodn´ıch mezina konferenc´ıch v ˇ CR
• SCIEX 11.152 TraFlu: Transport phenomena in continuum fluid dynamics, mentoˇri ´ AV), prof. Camillo De Lellis (Universit¨at Z¨ prof. Eduard Feireisl (MU urich) Financov´ ano SCIEX-NMSch fellow 2012 - 2013
• Equadiff 2013 Praha, srpen 2013, pˇredn´aˇska Global ill-posedness of the compressible isentropic Euler equations • Equadiff 2009 Brno, ˇcervenec 2009, pˇredn´aˇska Steady flow of a second grade fluid past an obstacle
´c ˇast na U ´ rodn´ıch mezina konferenc´ıch v ˇ´ı zahranic
• The 32nd Kyushu Symposium on Partial Differential Equations Fukuoka, Japonsko, leden 2015, zvan´a pˇredn´aˇska Nonuniqueness of weak solutions to the Riemann problem for compressible Euler equations in 2D • Mathematical Analysis on Fluid Dynamics and Conservation Laws Tokyo, Japonsko, leden 2015, zvan´a pˇredn´aˇska Uniqueness of rarefaction waves in compressible Euler systems
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• The International Workshop on PDEs in Fluid Dynamics and Related Models ˇ ˇ ına, listopad 2014, zvan´a pˇredn´aˇska Nonuniqueness of weak solutions to the Sanghaj, C´ Riemann problem for compressible Euler equations in 2D • The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications ˇ Madrid, Spanˇ elsko, ˇcervenec 2014, pˇredn´aˇska On bounded solutions to the compressible isentropic Euler system • Transport microscales and fluids L’Aquila, It´ alie, ˇcerven 2014, zvan´a pˇredn´aˇska On the weak solutions to the equations of a compressible heat conducting gas • Vorticity, Rotation and Symmetry (III) Luminy, Francie, kvˇeten 2014, zvan´a pˇredn´aˇska On bounded solutions to the compressible isentropic Euler system • Compflows 2014 Bedlewo, Polsko, bˇrezen 2014, zvan´a pˇredn´aˇska On bounded solutions to the compressible isentropic Euler system • Model reduction in continuum thermodynamics: Modeling, analysis and computation Banff, Kanada, z´ aˇr´ı 2012, zvan´a pˇredn´aˇska Steady Navier-Stokes-Fourier system with nonlinear dependence of viscosity on temperature • The 9th AIMS Conference on Dynamical Systems, Differential Equations and Applications Orlando, USA, ˇcervenec 2012, pˇredn´aˇska On the steady equations for compressible radiative gas • 4th MSJ SI conference Fukuoka, Japonsko, z´aˇr´ı 2011, zvan´a pˇredn´aˇska Steady compressible Navier–Stokes– Fourier system with radiation • Equadiff 2007 V´ıdeˇ n, Rakousko, srpen 2007, pˇredn´aˇska Axisymmetric flow of a viscous newtonian fluid • 2nd czech-catalan conference in mathematics ˇ Barcelona, Spanˇ elsko, z´aˇr´ı 2006, zvan´a pˇredn´aˇska Axisymmetric flow of a viscous newtonian fluid
´ Pedagogicka ˇinnost c
2014: Univerzita Karlova v Praze, Matematicko-fyzik´aln´ı fakulta v´ yuka pˇredmˇetu Nov´e v´ ysledky v teorii Eulerov´ ych rovnic (pˇredn´aˇska) 2005 - 2011: Univerzita Karlova v Praze, Matematicko-fyzik´aln´ı fakulta v´ yuka pˇredmˇet˚ u Matematicka pro fyziky 1 - 5 (cviˇcen´ı), Matematick´a anal´ yza 1a (cviˇcen´ı) 2009: Univerzita Karlova v Praze, Fakulta soci´aln´ıch vˇed v´ yuka pˇredmˇetu Matematika 1 (cviˇcen´ı) 2006: Univerzita Pardubice, Fakulta ekonomicko-spr´avn´ı v´ yuka pˇredmˇetu Matematika (cviˇcen´ı)
ˇn´ı Ocene
ˇ v kategorii matematick´ 2006: v´ıtˇez ˇcesko-slovensk´e soutˇeˇze SVOC a anal´yza
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Ostatn´ı
duben 2014: hodnotitel sekce Matematika a IT na studentsk´e vˇedeck´e konferenci Jsem mlad´ y vˇedec! v r´ amci projektu Otevˇren´a vˇeda III. Od roku 2014 ˇclen Jednoty ˇcesk´ ych matematik˚ u a fyzik˚ u. Recenze pro ˇcasopisy Journal of Evolution Equations, Electronic Journal of Differential Equations, Differential equations and applications.
Seznam publikac´ı
ˇ anky v mezin´ Cl´ arodn´ıch vˇ edeck´ ych ˇ casopisech 1. Chiodaroli, E., De Lellis, C., Kreml, O.: Global ill-posedness of the isentropic system of gas dynamics. To appear in Comm. Pure Appl. Math., published online, DOI: 10.1002/cpa.21537. (IF 3.080) 2. Chiodaroli, E., Feireisl, E., Kreml, O.: On the weak solutions to the equations of a compressible heat conducting gas. Ann. Inst. H. Poincar´e Anal. Non Lin´eaire 32 (2015), no. 1, 225–243. (IF 1.326) 3. Chiodaroli, E., Kreml, O.: On the Energy Dissipation Rate of Solutions to the Compressible Isentropic Euler System. Arch. Rational Mech. Anal. 214 (2014), 1019–1049. (IF 2.022, 1 citace) ˇ Neustupa, J., Stebel, J.: Incompressible limits of 4. Feireisl, E., Kreml, O., Neˇcasov´a, S., fluids excited by moving boundaries. SIAM J. Math. Anal. 46 (2014), no. 2, 1456– 1471. (IF 1.396, 1 citace) 5. Feireisl, E., Karper, T., Kreml, O., Stebel, J.: Stability with respect to domain of the low Mach number limit of compressible viscous fluids. Math. Models Methods Appl. Sci. 23 (2013), no. 13, 2465–2493. (IF 2.351) ˇ Pokorn´ 6. Kreml, O., Neˇcasov´ a, S., y, M.: On the steady equations for compressible radiative gas. Z. Angew. Math. Phys. 64 (2013), no. 3, 539–571. (IF 1.214, 1 citace) ˇ Neustupa, J., Stebel, J.: Weak solutions to the 7. Feireisl, E., Kreml, O., Neˇcasov´a, S., barotropic Navier-Stokes system with slip boundary conditions in time dependent domains. J. Differential Equations 254 (2013), no. 1, 125–140. (IF 1.570, 4 citace) 8. Konieczny, P., Kreml, O.: On the 3D steady flow of a second grade fluid past an obstacle. J. Math. Fluid Mech. 14 (2012), no. 2, 295–309. (IF 1.305) 9. Kreml, O., Pokorn´ y, M.: A regularity criterion for the angular velocity component in axisymmetric Navier-Stokes equations. Electron. J. Differential Equations (2007), no. 08, 10 pp. (electronic). (bez IF, 2 citace)
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ˇ anky v recenzovan´ Cl´ ych sborn´ıc´ıch 1. Kreml, O., Pokorn´ y, M.: On the local strong solutions for the FENE dumbbell model. Discrete Contin. Dyn. Syst. Ser. S 3 (2010), no. 2, 311–324. (5 citac´ı) 2. Kreml, O., Pokorn´ y, M.: On the local strong solutions for a system describing the flow of a viscoelastic fluid. Nonlocal and abstract parabolic equations and their applications, Banach Center Publ., 86 (2009), 195–206, Polish Acad. Sci. Inst. Math., Warsaw. (3 citace) Diplomov´ e a doktorsk´ e pr´ ace 1. Kreml, O.: Mathematical analysis of models for viscoelastic fluids. Dizertaˇcn´ı pr´ ace. Univerzita Karlova v Praze, 2010. 2. Kreml, O.: Osovˇe symetrick´e proudˇen´ı visk´ozn´ı newtonovsk´e tekutiny. Diplomov´ a pr´ ace. Univerzita Karlova v Praze, 2006. Seznam ohlas˚ u
Chiodaroli, E., Kreml, O.: On the Energy Dissipation Rate of Solutions to the Compressible Isentropic Euler System. Arch. Rational Mech. Anal. 214 (2014), 1019–1049. 1. Chiodaroli, E.: A counterexample to well-posedness of entropy solutions to the compressible Euler system. J. Hyperbolic Differ. Equ. 11 (2014), no. 3, 493–519. ˇ Neustupa, J., Stebel, J.: Incompressible limits of fluids Feireisl, E., Kreml, O., Neˇcasov´a, S., excited by moving boundaries. SIAM J. Math. Anal. 46 (2014), no. 2, 1456–1471. ˇ Novotn´ 1. Kraˇcmar, S., Neˇcasov´a, S., y, A.: The motion of a compressible viscous fluid around rotating body. Ann. Univ. Ferrara Sez. VII Sci. Mat. 60 (2014), no. 1, 189–208. ˇ Pokorn´ Kreml, O., Neˇcasov´ a, S., y, M.: On the steady equations for compressible radiative gas. Z. Angew. Math. Phys. 64 (2013), no. 3, 539–571. 1. Jessl´e, D., Novotn´ y, A., Pokorn´ y, M.: Steady Navier-Stokes-Fourier system with slip boundary conditions. Math. Models Methods Appl. Sci. 24 (2014), no. 4, 751–781. ˇ Neustupa, J., Stebel, J.: Weak solutions to the Feireisl, E., Kreml, O., Neˇcasov´a, S., barotropic Navier-Stokes system with slip boundary conditions in time dependent domains. J. Differential Equations 254 (2013), no. 1, 125–140. 1. Orenga, P., Tomasi, A.: Un r´esultat de compacit´e sur la densit´e dans les ´equations de Navier-Stokes compressibles en domaine variable. (French) [A compactness result about density in compressible Navier-Stokes equations in a variable domain] C. R. Math. Acad. Sci. Paris 351 (2013), no. 1–2, 43–46. ˇ Neustupa, J., Stebel, J.: Incompressible limits 2. Feireisl, E., Kreml, O., Neˇcasov´a, S., of fluids excited by moving boundaries. SIAM J. Math. Anal. 46 (2014), no. 2, 1456–1471. ˇ Novotn´ 3. Kraˇcmar, S., Neˇcasov´a, S., y, A.: The motion of a compressible viscous fluid around rotating body. Ann. Univ. Ferrara Sez. VII Sci. Mat. 60 (2014), no. 1, 189–208. 4. Donatelli, D., Trivisa, K.: On a nonlinear model for tumor growth: global in time weak solutions. J. Math. Fluid Mech. 16 (2014), no. 4, 787–803.
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Kreml, O., Pokorn´ y, M.: On the local strong solutions for the FENE dumbbell model. Discrete Contin. Dyn. Syst. Ser. S 3 (2010), no. 2, 311–324. 1. Masmoudi, N.: Global existence of weak solutions to macroscopic models of polymeric flows. J. Math. Pures Appl. (9) 96 (2011), no. 5, 502–520. 2. Geissert, M., G¨ otz, D., Nesensohn, M.: Lp-theory for a generalized nonlinear viscoelastic fluid model of differential type in various domains. Nonlinear Anal. 75 (2012), no. 13, 5015–5026. 3. Masmoudi, N.: Global existence of weak solutions to the FENE dumbbell model of polymeric flows. Invent. Math. 191 (2013), no. 2, 427–500. 4. Hieber, M.: Remarks on the theory of Oldroyd-B fluids in exterior domains. Discrete Contin. Dyn. Syst. Ser. S 6 (2013), no. 5, 1307–1313. 5. Busuioc, A. V., Ciuperca, I. S., Iftimie, D., Palade, L. I.: The FENE dumbbell polymer model: existence and uniqueness of solutions for the momentum balance equation. J. Dynam. Differential Equations 26 (2014), no. 2, 217–241. Kreml, O., Pokorn´ y, M.: On the local strong solutions for a system describing the flow of a viscoelastic fluid. Nonlocal and abstract parabolic equations and their applications, Banach Center Publ., 86 (2009), 195–206, Polish Acad. Sci. Inst. Math., Warsaw. 1. Kreml, O., Pokorn´ y, M.: On the local strong solutions for the FENE dumbbell model. Discrete Contin. Dyn. Syst. Ser. S 3 (2010), no. 2, 311–324. 2. Fang, D., Hieber, M.; Zi, R.: Global existence results for Oldroyd-B fluids in exterior domains: the case of non-small coupling parameters. Math. Ann. 357 (2013), no. 2, 687–709. 3. Skonieczna, J.: Viscoelastic fluid model with nonhomogeneous boundary conditions. Z. Anal. Anwend. 33 (2014), no. 4, 481–504. Kreml, O., Pokorn´ y, M.: A regularity criterion for the angular velocity component in axisymmetric Navier-Stokes equations. Electron. J. Differential Equations (2007), no. 08, 10 pp. (electronic). 1. Zajaczkowski, W. M.: A regularity criterion for axially symmetric solutions to the Navier-Stokes equations. Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 385 (2010), Kraevye Zadachi Matematicheskoi Fiziki i Smezhnye Voprosy Teorii Funktsii. 41, 54–68, 234; translation in J. Math. Sci. (N. Y.) 178 (2011), no. 3, 265–273. 2. Kubica, A., Pokorn´ y, M., Zajaczkowski, W. M.: Remarks on regularity criteria for axially symmetric weak solutions to the Navier-Stokes equations. Math. Methods Appl. Sci. 35 (2012), no. 3, 360–371.
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