Publikacje
- Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek Morrey spaces norms and criteria for blowup in chemotaxis models. Netw. Heterog. Media 11 (2016), no. 2, 239–250
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Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek Optimal criteria for blowup of radial and N-symmetric solutions of chemotaxis systems. Nonlinearity 28 (2015), no. 12, 4369–4387
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Biler, Piotr; Guerra, Ignacio; Karch, Grzegorz Large global-in-time solutions of the parabolic-parabolic Keller-Segel system on the plane. Commun. Pure Appl. Anal. 14 (2015), no. 6, 2117–2126
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Biler, Piotr; Zienkiewicz, Jacek Existence of solutions for the Keller-Segel model of chemotaxis with measures as initial data. Bull. Pol. Acad. Sci. Math. 63 (2015), no. 1, 41–51
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Biler, Piotr; Imbert, Cyril; Karch, Grzegorz The nonlocal porous medium equation: Barenblatt profiles and other weak solutions. Arch. Ration. Mech. Anal. 215 (2015), no. 2, 497–529
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Biler, Piotr; Espejo, Elio E.; Guerra, Ignacio Blowup in higher dimensional two species chemotactic systems. Commun. Pure Appl. Anal. 12 (2013), no. 1, 89–98
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Biler, Piotr; Guerra, Ignacio Blowup and self-similar solutions for two-component drift-diffusion systems. Nonlinear Anal. 75 (2012), no. 13, 5186–5193
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Biler, Piotr; Imbert, Cyril; Karch, Grzegorz Barenblatt profiles for a nonlocal porous medium equation. C. R. Math. Acad. Sci. Paris 349 (2011), no. 11-12, 641–645
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Biler, Piotr; Corrias, Lucilla; Dolbeault, Jean Large mass self-similar solutions of the parabolic-parabolic Keller-Segel model of chemotaxis. J. Math. Biol. 63 (2011), no. 1, 1–32
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Biler, Piotr; Nadzieja, Tadeusz An elementary approach to nonexistence of solutions of linear parabolic equations. Colloq. Math. 122 (2011), no. 1, 125–134
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Biler, Piotr; Karch, Grzegorz Blowup of solutions to generalized Keller-Segel model. J. Evol. Equ. 10(2010), no. 2, 247–262
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Biler, Piotr; Nadzieja, Tadeusz Nonexistence of solutions of the heat diffusion problem on a punctured disc. Monatsh. Math. 159 (2010), no. 4, 329–334
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Biler, Piotr; Karch, Grzegorz; Monneau, Régis Nonlinear diffusion of dislocation density and self-similar solutions. Comm. Math. Phys. 294 (2010), no. 1, 145–168
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Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe Blowup of solutions to a diffusive aggregation model. Nonlinearity 22 (2009), no. 7, 1559–1568
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Biler, Piotr; Brandolese, Lorenzo On the parabolic-elliptic limit of the doubly parabolic Keller-Segel system modelling chemotaxis. Studia Math. 193 (2009), no. 3, 241–261
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Biler, Piotr; Wu, Gang Two-dimensional chemotaxis models with fractional diffusion. Math. Methods Appl. Sci. 32 (2009), no. 1, 112–126
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Biler, Piotr Radially symmetric solutions of a chemotaxis model in the plane—the supercritical case.Parabolic and Navier-Stokes equations. Part 1, 31–42, Banach Center Publ., 81, Part 1, Polish Acad. Sci. Inst. Math., Warsaw, 2008
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Biler, Piotr; Stańczy, Robert Nonlinear diffusion models for self-gravitating particles. Free boundary problems, 107–116, Internat. Ser. Numer. Math., 154, Birkhäuser, Basel, 2007
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Biler, Piotr; Stańczy, Robert Mean field models for self-gravitating particles. Folia Math. 13 (2006), no. 1, 3–19
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Biler, Piotr A note on the paper of Y. Naito: "Asymptotically self-similar solutions for the parabolic system modelling chemotaxis'' [in Self-similar solutions of nonlinear PDE, 149–160, Polish Acad. Sci., Warsaw, 2006]. Self-similar solutions of nonlinear PDE, 33–40, Banach Center Publ., 74, Polish Acad. Sci., Warsaw, 2006