Edit Profile (opens in new tab) Biler, Piotr Co-Author Distance Author ID: biler.piotr Published as: Biler, Piotr; Biler, P.; Biler, B. more...less Homepage: http://www.math.uni.wroc.pl/~biler/ External Links: MGP · Wikidata · ResearchGate · GND · IdRef · theses.fr Documents Indexed: 108 Publications since 1984, including 3 Books 2 Contributions as Editor · 2 Further Contributions Reviewing Activity: 661 Reviews Co-Authors: 30 Co-Authors with 72 Joint Publications 1,016 Co-Co-Authors all top 5 Co-Authors 39 single-authored 29 Karch, Grzegorz 21 Nadzieja, Tadeusz 10 Woyczynski, Wojbor A. 6 Dolbeault, Jean 6 Laurençot, Philippe 6 Zienkiewicz, Jacek 4 Boritchev, Alexandre 4 Brandolese, Lorenzo 4 Guerra, Ignacio A. 3 Esteban, Maria J. 3 Stańczy, Robert 2 Cannone, Marco 2 Funaki, Tadahisa 2 Hebisch, Waldemar 2 Imbert, Cyril 2 Krzywicki, Andrzej 2 Markowich, Peter Alexander 2 Pilarczyk, Dominika 2 Witkowski, Alfred 1 Banach, Stefan 1 Borsuk, Karol 1 Cieślak, Tomasz 1 Corrias, Lucilla 1 Dziubański, Jacek 1 Erdős, Pál 1 Espejo, Elio E. 1 Granas, Andrzej 1 Guedda, Mohammed 1 Hilhorst, Danielle 1 Kac, Mark 1 Kaczmarz, Stefan 1 Knaster, Bronisław 1 Krupski, Paweł 1 Kuratowski, Kazimierz 1 Mauldin, Richard Daniel 1 Monneau, Régis 1 Palczewski, Andrzej 1 Pelczar, Andrzej 1 Plebanek, Grzegorz 1 Przytycki, Józef Henryk 1 Raczyński, Andrzej 1 Saks, Stanisław 1 Schauder, Juliusz 1 Steinhaus, Hugo 1 Tabisz, Krzysztof 1 Ulam, Stanisław Marcin 1 Wakui, Hiroshi 1 Ward, Gus 1 Wu, Gang 1 Zygmund, Antoni all top 5 Serials 8 Colloquium Mathematicum 5 Mathematical Methods in the Applied Sciences 5 Nonlinear Analysis. Theory, Methods & Applications 4 Studia Mathematica 4 Journal of Differential Equations 3 Roczniki Polskiego Towarzystwa Matematycznego. Seria II. Wiadomości Matematyczne 3 Bulletin of the Polish Academy of Sciences, Mathematics 3 Topological Methods in Nonlinear Analysis 3 Advances in Differential Equations 3 Journal of Evolution Equations 2 Applicable Analysis 2 Nonlinearity 2 Reports on Mathematical Physics 2 Commentationes Mathematicae Universitatis Carolinae 2 Monatshefte für Mathematik 2 Advances in Mathematical Sciences and Applications 2 Applicationes Mathematicae 2 Communications on Pure and Applied Analysis 2 Banach Center Publications 2 Pure and Applied Mathematics, Marcel Dekker 1 American Mathematical Monthly 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Journal of Mathematical Biology 1 Letters in Mathematical Physics 1 Transport Theory and Statistical Physics 1 Advances in Mathematics 1 Annales Polonici Mathematici 1 Demonstratio Mathematica 1 Indiana University Mathematics Journal 1 Mathematische Annalen 1 Mathematicae Notae 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Probability and Mathematical Statistics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Annales Scientifiques de l’Université de Clermont-Ferrand II. Probabilités et Applications 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Applied Mathematics Letters 1 Differential and Integral Equations 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Journal of Dynamics and Differential Equations 1 NoDEA. Nonlinear Differential Equations and Applications 1 Methods and Applications of Analysis 1 Discrete and Continuous Dynamical Systems 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Annales Henri Poincaré 1 Annales Mathematicae Silesianae 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Folia Mathematica 1 Networks and Heterogeneous Media 1 De Gruyter Series in Mathematics and Life Sciences all top 5 Fields 105 Partial differential equations (35-XX) 29 Statistical mechanics, structure of matter (82-XX) 20 Biology and other natural sciences (92-XX) 8 Fluid mechanics (76-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Ordinary differential equations (34-XX) 4 Probability theory and stochastic processes (60-XX) 3 Real functions (26-XX) 3 Integral equations (45-XX) 2 Sequences, series, summability (40-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Quantum theory (81-XX) 2 Astronomy and astrophysics (85-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 91 Publications have been cited 2,079 times in 1,182 Documents Cited by ▼ Year ▼ Local and global solvability of some parabolic systems modelling chemotaxis. Zbl 0913.35021 Biler, Piotr 154 1998 The Debye system: Existence and large time behavior of solutions. Zbl 0814.35054 Biler, Piotr; Hebisch, Waldemar; Nadzieja, Tadeusz 147 1994 Global solutions to some parabolic-elliptic systems of chemotaxis. Zbl 0941.35009 Biler, Piotr 104 1999 Fractal Burgers equations. Zbl 0911.35100 Biler, Piotr; Funaki, Tadahisa; Woyczynski, Wojbor A. 93 1998 Long time behavior of solutions of Nernst-Planck and Debye-Hückel drift-diffusion systems. Zbl 0976.82046 Biler, Piotr; Dolbeault, Jean 93 2000 Critical nonlinearity exponent and self-similar asymptotics for Lévy conservation laws. Zbl 0991.35009 Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A. 68 2001 Existence and nonexistence of solutions for a model of gravitational interaction of particles. I. Zbl 0817.35041 Biler, Piotr; Nadzieja, Tadeusz 67 1994 Blowup of solutions to generalized Keller-Segel model. Zbl 1239.35177 Biler, Piotr; Karch, Grzegorz 63 2010 The \(8\pi\)-problem for radially symmetric solutions of a chemotaxis model in the plane. Zbl 1105.35131 Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe; Nadzieja, Tadeusz 62 2006 Nonlinear diffusion of dislocation density and self-similar solutions. Zbl 1207.82049 Biler, Piotr; Karch, Grzegorz; Monneau, Régis 56 2010 The nonlocal porous medium equation: Barenblatt profiles and other weak solutions. Zbl 1308.35197 Biler, Piotr; Imbert, Cyril; Karch, Grzegorz 53 2015 Existence and nonexistence of solutions for a model of gravitational interaction of particles. III. Zbl 0836.35076 Biler, Piotr 49 1995 Global and exploding solutions for nonlocal quadratic evolution problems. Zbl 0940.35035 Biler, Piotr; Woyczynski, Wojbor A. 49 1999 The Cauchy problem and self-similar solutions for a nonlinear parabolic equation. Zbl 0829.35044 Biler, Piotr 45 1995 Attractors for the system of Schrödinger and Klein-Gordon equations with Yukawa coupling. Zbl 0725.35020 Biler, Piotr 45 1990 Two-dimensional chemotaxis models with fractional diffusion. Zbl 1163.35490 Biler, Piotr; Wu, Gang 43 2009 Global regular and singular solutions for a model of gravitating particles. Zbl 1078.35097 Biler, Piotr; Cannone, Marco; Guerra, Ignacio A.; Karch, Grzegorz 40 2004 Blowup in higher dimensional two species chemotactic systems. Zbl 1278.35250 Biler, Piotr; Espejo, Elio E.; Guerra, Ignacio 40 2013 Existence and nonexistence of solutions for a model of gravitational interaction of particles. II. Zbl 0832.35015 Biler, Piotr; Hilhorst, Danielle; Nadzieja, Tadeusz 38 1994 Large mass self-similar solutions of the parabolic-parabolic Keller-Segel model of chemotaxis. Zbl 1230.92011 Biler, Piotr; Corrias, Lucilla; Dolbeault, Jean 38 2011 Remark on the decay for damped string and beam equations. Zbl 0611.35057 Biler, Piotr 38 1986 Barenblatt profiles for a nonlocal porous medium equation. Zbl 1221.35209 Biler, Piotr; Imbert, Cyril; Karch, Grzegorz 34 2011 Asymptotics for conservation laws involving Lévy diffusion generators. Zbl 0990.35023 Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A. 33 2001 The Scottish Book. Mathematics from the Scottish Café. With selected problems from the New Scottish Book. 2nd updated and enlarged edition. Zbl 1331.01039 Mauldin, R. Daniel 33 2015 Existence and asymptotics of solutions for a parabolic-elliptic system with nonlinear no-flux boundary conditions. Zbl 0781.35025 Biler, Piotr 28 1992 Asymptotic properties of solutions of the viscous Hamilton-Jacobi equation. Zbl 1056.35024 Biler, Piotr; Guedda, Mohammed; Karch, Grzegorz 26 2004 Long time behavior of solutions of the generalized Benjamin-Bona-Mahony equation in two space dimensions. Zbl 0759.35012 Biler, Piotr 25 1992 Local criteria for blowup in two-dimensional chemotaxis models. Zbl 1360.35290 Biler, Piotr; Cieślak, Tomasz; Karch, Grzegorz; Zienkiewicz, Jacek 25 2017 Asymptotics for multifractal conservation laws. Zbl 0931.35015 Biler, Piotr; Karch, Grzegorz; Woyczynski, Wojbor A. 23 1999 On the parabolic-elliptic limit of the doubly parabolic Keller–Segel system modelling chemotaxis. Zbl 1167.35316 Biler, Piotr; Brandolese, Lorenzo 21 2009 Large-time behaviour of periodic solutions to dissipative equations of Korteweg-de Vries-Burgers type. Zbl 0561.35065 Biler, Piotr 20 1984 A class of nonlocal parabolic problems occurring in statistical mechanics. Zbl 0818.35046 Biler, Piotr; Nadzieja, Tadeusz 20 1993 Asymptotic behaviour in time of solutions to some equations generalizing the Korteweg-de Vries-Burgers equation. Zbl 0561.35064 Biler, Piotr 19 1984 Nonisothermal systems of self-attracting Fermi-Dirac particles. Zbl 1146.35415 Biler, Piotr; Nadzieja, Tadeusz; Stańczy, Robert 19 2004 Optimal criteria for blowup of radial and \(N\)-symmetric solutions of chemotaxis systems. Zbl 1329.35316 Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek 19 2015 The \(8\pi\)-problem for radially symmetric solutions of a chemotaxis model in a disc. Zbl 1135.35367 Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe; Nadzieja, Tadeusz 18 2006 Multifractal and Lévy conservation laws. Zbl 0945.35015 Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A. 17 2000 Radially symmetric solutions of a chemotaxis model in the plane – the supercritical case. Zbl 1153.35395 Biler, Piotr 16 2008 Growth and accretion of mass in an astrophysical model. Zbl 0838.35105 Biler, P. 15 1995 Interacting particle approximation for nonlocal quadratic evolution problems. Zbl 0985.60091 Biler, Piotr; Funaki, Tadahisa; Woyczynski, Wojbor A. 15 1999 Large global-in-time solutions to a nonlocal model of chemotaxis. Zbl 1398.35248 Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek 15 2018 A nonlocal singular parabolic problem modelling gravitational interaction of particles. Zbl 0952.35008 Biler, Piotr; Nadzieja, Tadeusz 14 1998 Blowup and self-similar solutions for two-component drift-diffusion systems. Zbl 1251.35171 Biler, Piotr; Guerra, Ignacio 14 2012 Blowup of solutions to a diffusive aggregation model. Zbl 1177.35188 Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe 13 2009 Self-interaction of Brownian particles coupled with thermodynamic processes. Zbl 1010.82028 Biler, Piotr; Krzywicki, Andrzej; Nadzieja, Tadeusz 13 1998 Global and exploding solutions in a model of self-gravitating systems. Zbl 1043.85001 Biler, Piotr; Nadzieja, Tadeusz 13 2003 Large global-in-time solutions of the parabolic-parabolic Keller-Segel system on the plane. Zbl 1326.35398 Biler, Piotr; Guerra, Ignacio; Karch, Grzegorz 13 2015 Singularities of solutions to chemotaxis systems. Zbl 1450.35001 Biler, Piotr 13 2020 Existence of solutions for the Keller-Segel model of chemotaxis with measures as initial data. Zbl 1326.35399 Biler, Piotr; Zienkiewicz, Jacek 12 2015 Global radial solutions in classical Keller-Segel model of chemotaxis. Zbl 1428.35616 Biler, Piotr; Karch, Grzegorz; Pilarczyk, Dominika 12 2019 Nonlocal parabolic problems in statistical mechanics. Zbl 0892.35073 Biler, Piotr; Nadzieja, Tadeusz 11 1997 Problems in mathematical analysis. Zbl 0697.00003 Biler, Piotr; Witkowski, Alfred 10 1990 Blowing up radial solutions in the minimal Keller-Segel model of chemotaxis. Zbl 1417.35208 Biler, Piotr; Zienkiewicz, Jacek 10 2019 Large time asymptotics of nonlinear drift-diffusion systems with Poisson coupling. Zbl 0988.35134 Biler, Piotr; Dolbeault, Jean; Markowich, Peter A. 8 2001 Steady states for Streater’s energy-transport models of self-gravitating particles. Zbl 1044.82013 Biler, Piotr; Dolbeault, Jean; Esteban, Maria J.; Markowich, Peter A.; Nadzieja, Tadeusz 8 2004 Time decay of solutions of semilinear strongly damped generalized wave equations. Zbl 0753.35011 Biler, Piotr 8 1991 Nonlocal quadratic evolution problems. Zbl 0953.35070 Biler, Piotr; Woyczyński, Wojbor A. 7 2000 Morrey spaces norms and criteria for blowup in chemotaxis models. Zbl 1333.35299 Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek 7 2016 Generalized Fokker–Planck equations and convergence to their equilibria. Zbl 1024.35013 Biler, Piotr; Karch, Grzegorz 7 2003 Regular decay of solutions of strongly damped nonlinear hyperbolic equations. Zbl 0666.34072 Biler, Piotr 6 1989 Growth and accretion of mass in an astrophysical model. II. Zbl 0845.35011 Biler, P.; Nadzieja, T. 6 1995 Scattering of small solutions to generalized Benjamin-Bona-Mahony equation in several space dimensions. Zbl 0796.35142 Biler, Piotr; Dziubański, Jacek; Hebisch, Waldemar 6 1992 Mathematical challenges in the theory of chemotaxis. Zbl 1403.35300 Biler, Piotr 6 2018 Nonlinear diffusion models for self-gravitating particles. Zbl 1113.35328 Biler, Piotr; Stańczy, Robert 5 2007 On an evolution system describing self-gravitating Fermi-Dirac particles. Zbl 1103.35086 Biler, Piotr; Laurençot, Philippe; Nadzieja, Tadeusz 5 2004 A singular problem in electrolytes theory. Zbl 0885.35051 Biler, Piotr; Nadzieja, Tadeusz 5 1997 Exponential decay of solutions of damped nonlinear hyperbolic equations. Zbl 0656.35091 Biler, Piotr 4 1987 A note on the paper of Y. Naito: “Asymptotically self-similar solutions for the parabolic system modelling chemotaxis”. Zbl 1116.35054 Biler, Piotr 4 2006 A singular perturbation problem for nonlinear damped hyperbolic equations. Zbl 0701.35013 Biler, Piotr 4 1989 Local and global solutions of a nonlinear nonlocal parabolic problem. Zbl 0877.35054 Biler, Piotr 4 1995 Structure of steady states for Streater’s energy-transport models of gravitating particles. Zbl 1008.35052 Biler, Piotr; Nadzieja, Tadeusz 4 2002 Around a singular solution of a nonlocal nonlinear heat equation. Zbl 1407.35105 Biler, Piotr; Pilarczyk, Dominika 4 2019 Intermediate asymptotics in \(L^{1}\) for general nonlinear diffusion equations. Zbl 1011.35019 Biler, P.; Dolbeault, J.; Esteban, M. J. 3 2002 Blowup versus global in time existence of solutions for nonlinear heat equations. Zbl 1408.35072 Biler, Piotr 3 2018 Stochastic interpretation of potential scattering in quantum mechanics. Zbl 0534.60052 Biler, P. 2 1984 A Neumann problem for a convection-diffusion equation on the half-line. Zbl 1003.35065 Biler, Piotr; Karch, Grzegorz 2 2000 Self-similar solutions of nonlinear PDE. Selected papers of the conference, Bȩdlewo, Poland, September 5–9, 2005. Zbl 1104.35004 2 2006 Asymptotic stability of Navier-Stokes flow past an obstacle. Zbl 1161.35459 Biler, Piotr; Cannone, Marco; Karch, Grzegorz 2 2004 Problems and examples in differential equations. Zbl 0760.34001 Biler, Piotr; Nadzieja, Tadeusz 2 1992 Concentration phenomena in a diffusive aggregation model. Zbl 1455.35264 Biler, Piotr; Boritchev, Alexandre; Karch, Grzegorz; Laurençot, Philippe 2 2021 Blowup of solutions for nonlinear nonlocal heat equations. Zbl 1418.35221 Biler, Piotr 2 2019 On the stationary solutions of Burgers’ equation. Zbl 0635.35008 Biler, Piotr 1 1987 Asymptotics and high dimensional approximations for nonlinear pseudodifferential equations involving Lévy generators. Zbl 0986.35148 Biler, P.; Karch, G.; Woyczyński, W. A. 1 2001 Stationary solutions, intermediate asymptotics and large-time behaviour of type II Streater’s models. Zbl 1003.35120 Biler, Piotr; Karch, Grzegorz; Dolbeault, Jean; Esteban, Maria J. 1 2001 Steady states and long time asymptotics of solutions of Streater’s models. Zbl 1046.82020 Biler, Piotr 1 2001 Global existence versus blow up for some models of interacting particles. Zbl 1116.35015 Biler, Piotr; Brandolese, Lorenzo 1 2006 Asymptotic behaviour in time of solutions to some equations generalizing the Korteweg-de Vries-Burgers equation. Zbl 0581.35071 Biler, Piotr 1 1985 Entropy methods and intermediate asymptotics for nonlinear drift-diffusion systems. Zbl 1091.35504 Biler, Piotr 1 2002 Partial differential equations at the turn of the 20th and 21st centuries. Zbl 1242.35005 Biler, Piotr 1 2003 Mean field models for self-gravitating particles. Zbl 1181.35290 Biler, Piotr; Stańczy, Robert 1 2006 Sharp Sobolev estimates for concentration of solutions to an aggregation-diffusion equation. Zbl 1503.35236 Biler, Piotr; Boritchev, Alexandre; Karch, Grzegorz; Laurençot, Philippe 1 2022 Sharp Sobolev estimates for concentration of solutions to an aggregation-diffusion equation. Zbl 1503.35236 Biler, Piotr; Boritchev, Alexandre; Karch, Grzegorz; Laurençot, Philippe 1 2022 Concentration phenomena in a diffusive aggregation model. Zbl 1455.35264 Biler, Piotr; Boritchev, Alexandre; Karch, Grzegorz; Laurençot, Philippe 2 2021 Singularities of solutions to chemotaxis systems. Zbl 1450.35001 Biler, Piotr 13 2020 Global radial solutions in classical Keller-Segel model of chemotaxis. Zbl 1428.35616 Biler, Piotr; Karch, Grzegorz; Pilarczyk, Dominika 12 2019 Blowing up radial solutions in the minimal Keller-Segel model of chemotaxis. Zbl 1417.35208 Biler, Piotr; Zienkiewicz, Jacek 10 2019 Around a singular solution of a nonlocal nonlinear heat equation. Zbl 1407.35105 Biler, Piotr; Pilarczyk, Dominika 4 2019 Blowup of solutions for nonlinear nonlocal heat equations. Zbl 1418.35221 Biler, Piotr 2 2019 Large global-in-time solutions to a nonlocal model of chemotaxis. Zbl 1398.35248 Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek 15 2018 Mathematical challenges in the theory of chemotaxis. Zbl 1403.35300 Biler, Piotr 6 2018 Blowup versus global in time existence of solutions for nonlinear heat equations. Zbl 1408.35072 Biler, Piotr 3 2018 Local criteria for blowup in two-dimensional chemotaxis models. Zbl 1360.35290 Biler, Piotr; Cieślak, Tomasz; Karch, Grzegorz; Zienkiewicz, Jacek 25 2017 Morrey spaces norms and criteria for blowup in chemotaxis models. Zbl 1333.35299 Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek 7 2016 The nonlocal porous medium equation: Barenblatt profiles and other weak solutions. Zbl 1308.35197 Biler, Piotr; Imbert, Cyril; Karch, Grzegorz 53 2015 The Scottish Book. Mathematics from the Scottish Café. With selected problems from the New Scottish Book. 2nd updated and enlarged edition. Zbl 1331.01039 Mauldin, R. Daniel 33 2015 Optimal criteria for blowup of radial and \(N\)-symmetric solutions of chemotaxis systems. Zbl 1329.35316 Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek 19 2015 Large global-in-time solutions of the parabolic-parabolic Keller-Segel system on the plane. Zbl 1326.35398 Biler, Piotr; Guerra, Ignacio; Karch, Grzegorz 13 2015 Existence of solutions for the Keller-Segel model of chemotaxis with measures as initial data. Zbl 1326.35399 Biler, Piotr; Zienkiewicz, Jacek 12 2015 Blowup in higher dimensional two species chemotactic systems. Zbl 1278.35250 Biler, Piotr; Espejo, Elio E.; Guerra, Ignacio 40 2013 Blowup and self-similar solutions for two-component drift-diffusion systems. Zbl 1251.35171 Biler, Piotr; Guerra, Ignacio 14 2012 Large mass self-similar solutions of the parabolic-parabolic Keller-Segel model of chemotaxis. Zbl 1230.92011 Biler, Piotr; Corrias, Lucilla; Dolbeault, Jean 38 2011 Barenblatt profiles for a nonlocal porous medium equation. Zbl 1221.35209 Biler, Piotr; Imbert, Cyril; Karch, Grzegorz 34 2011 Blowup of solutions to generalized Keller-Segel model. Zbl 1239.35177 Biler, Piotr; Karch, Grzegorz 63 2010 Nonlinear diffusion of dislocation density and self-similar solutions. Zbl 1207.82049 Biler, Piotr; Karch, Grzegorz; Monneau, Régis 56 2010 Two-dimensional chemotaxis models with fractional diffusion. Zbl 1163.35490 Biler, Piotr; Wu, Gang 43 2009 On the parabolic-elliptic limit of the doubly parabolic Keller–Segel system modelling chemotaxis. Zbl 1167.35316 Biler, Piotr; Brandolese, Lorenzo 21 2009 Blowup of solutions to a diffusive aggregation model. Zbl 1177.35188 Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe 13 2009 Radially symmetric solutions of a chemotaxis model in the plane – the supercritical case. Zbl 1153.35395 Biler, Piotr 16 2008 Nonlinear diffusion models for self-gravitating particles. Zbl 1113.35328 Biler, Piotr; Stańczy, Robert 5 2007 The \(8\pi\)-problem for radially symmetric solutions of a chemotaxis model in the plane. Zbl 1105.35131 Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe; Nadzieja, Tadeusz 62 2006 The \(8\pi\)-problem for radially symmetric solutions of a chemotaxis model in a disc. Zbl 1135.35367 Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe; Nadzieja, Tadeusz 18 2006 A note on the paper of Y. Naito: “Asymptotically self-similar solutions for the parabolic system modelling chemotaxis”. Zbl 1116.35054 Biler, Piotr 4 2006 Self-similar solutions of nonlinear PDE. Selected papers of the conference, Bȩdlewo, Poland, September 5–9, 2005. Zbl 1104.35004 2 2006 Global existence versus blow up for some models of interacting particles. Zbl 1116.35015 Biler, Piotr; Brandolese, Lorenzo 1 2006 Mean field models for self-gravitating particles. Zbl 1181.35290 Biler, Piotr; Stańczy, Robert 1 2006 Global regular and singular solutions for a model of gravitating particles. Zbl 1078.35097 Biler, Piotr; Cannone, Marco; Guerra, Ignacio A.; Karch, Grzegorz 40 2004 Asymptotic properties of solutions of the viscous Hamilton-Jacobi equation. Zbl 1056.35024 Biler, Piotr; Guedda, Mohammed; Karch, Grzegorz 26 2004 Nonisothermal systems of self-attracting Fermi-Dirac particles. Zbl 1146.35415 Biler, Piotr; Nadzieja, Tadeusz; Stańczy, Robert 19 2004 Steady states for Streater’s energy-transport models of self-gravitating particles. Zbl 1044.82013 Biler, Piotr; Dolbeault, Jean; Esteban, Maria J.; Markowich, Peter A.; Nadzieja, Tadeusz 8 2004 On an evolution system describing self-gravitating Fermi-Dirac particles. Zbl 1103.35086 Biler, Piotr; Laurençot, Philippe; Nadzieja, Tadeusz 5 2004 Asymptotic stability of Navier-Stokes flow past an obstacle. Zbl 1161.35459 Biler, Piotr; Cannone, Marco; Karch, Grzegorz 2 2004 Global and exploding solutions in a model of self-gravitating systems. Zbl 1043.85001 Biler, Piotr; Nadzieja, Tadeusz 13 2003 Generalized Fokker–Planck equations and convergence to their equilibria. Zbl 1024.35013 Biler, Piotr; Karch, Grzegorz 7 2003 Partial differential equations at the turn of the 20th and 21st centuries. Zbl 1242.35005 Biler, Piotr 1 2003 Structure of steady states for Streater’s energy-transport models of gravitating particles. Zbl 1008.35052 Biler, Piotr; Nadzieja, Tadeusz 4 2002 Intermediate asymptotics in \(L^{1}\) for general nonlinear diffusion equations. Zbl 1011.35019 Biler, P.; Dolbeault, J.; Esteban, M. J. 3 2002 Entropy methods and intermediate asymptotics for nonlinear drift-diffusion systems. Zbl 1091.35504 Biler, Piotr 1 2002 Critical nonlinearity exponent and self-similar asymptotics for Lévy conservation laws. Zbl 0991.35009 Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A. 68 2001 Asymptotics for conservation laws involving Lévy diffusion generators. Zbl 0990.35023 Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A. 33 2001 Large time asymptotics of nonlinear drift-diffusion systems with Poisson coupling. Zbl 0988.35134 Biler, Piotr; Dolbeault, Jean; Markowich, Peter A. 8 2001 Asymptotics and high dimensional approximations for nonlinear pseudodifferential equations involving Lévy generators. Zbl 0986.35148 Biler, P.; Karch, G.; Woyczyński, W. A. 1 2001 Stationary solutions, intermediate asymptotics and large-time behaviour of type II Streater’s models. Zbl 1003.35120 Biler, Piotr; Karch, Grzegorz; Dolbeault, Jean; Esteban, Maria J. 1 2001 Steady states and long time asymptotics of solutions of Streater’s models. Zbl 1046.82020 Biler, Piotr 1 2001 Long time behavior of solutions of Nernst-Planck and Debye-Hückel drift-diffusion systems. Zbl 0976.82046 Biler, Piotr; Dolbeault, Jean 93 2000 Multifractal and Lévy conservation laws. Zbl 0945.35015 Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A. 17 2000 Nonlocal quadratic evolution problems. Zbl 0953.35070 Biler, Piotr; Woyczyński, Wojbor A. 7 2000 A Neumann problem for a convection-diffusion equation on the half-line. Zbl 1003.35065 Biler, Piotr; Karch, Grzegorz 2 2000 Global solutions to some parabolic-elliptic systems of chemotaxis. Zbl 0941.35009 Biler, Piotr 104 1999 Global and exploding solutions for nonlocal quadratic evolution problems. Zbl 0940.35035 Biler, Piotr; Woyczynski, Wojbor A. 49 1999 Asymptotics for multifractal conservation laws. Zbl 0931.35015 Biler, Piotr; Karch, Grzegorz; Woyczynski, Wojbor A. 23 1999 Interacting particle approximation for nonlocal quadratic evolution problems. Zbl 0985.60091 Biler, Piotr; Funaki, Tadahisa; Woyczynski, Wojbor A. 15 1999 Local and global solvability of some parabolic systems modelling chemotaxis. Zbl 0913.35021 Biler, Piotr 154 1998 Fractal Burgers equations. Zbl 0911.35100 Biler, Piotr; Funaki, Tadahisa; Woyczynski, Wojbor A. 93 1998 A nonlocal singular parabolic problem modelling gravitational interaction of particles. Zbl 0952.35008 Biler, Piotr; Nadzieja, Tadeusz 14 1998 Self-interaction of Brownian particles coupled with thermodynamic processes. Zbl 1010.82028 Biler, Piotr; Krzywicki, Andrzej; Nadzieja, Tadeusz 13 1998 Nonlocal parabolic problems in statistical mechanics. Zbl 0892.35073 Biler, Piotr; Nadzieja, Tadeusz 11 1997 A singular problem in electrolytes theory. Zbl 0885.35051 Biler, Piotr; Nadzieja, Tadeusz 5 1997 Existence and nonexistence of solutions for a model of gravitational interaction of particles. III. Zbl 0836.35076 Biler, Piotr 49 1995 The Cauchy problem and self-similar solutions for a nonlinear parabolic equation. Zbl 0829.35044 Biler, Piotr 45 1995 Growth and accretion of mass in an astrophysical model. Zbl 0838.35105 Biler, P. 15 1995 Growth and accretion of mass in an astrophysical model. II. Zbl 0845.35011 Biler, P.; Nadzieja, T. 6 1995 Local and global solutions of a nonlinear nonlocal parabolic problem. Zbl 0877.35054 Biler, Piotr 4 1995 The Debye system: Existence and large time behavior of solutions. Zbl 0814.35054 Biler, Piotr; Hebisch, Waldemar; Nadzieja, Tadeusz 147 1994 Existence and nonexistence of solutions for a model of gravitational interaction of particles. I. Zbl 0817.35041 Biler, Piotr; Nadzieja, Tadeusz 67 1994 Existence and nonexistence of solutions for a model of gravitational interaction of particles. II. Zbl 0832.35015 Biler, Piotr; Hilhorst, Danielle; Nadzieja, Tadeusz 38 1994 A class of nonlocal parabolic problems occurring in statistical mechanics. Zbl 0818.35046 Biler, Piotr; Nadzieja, Tadeusz 20 1993 Existence and asymptotics of solutions for a parabolic-elliptic system with nonlinear no-flux boundary conditions. Zbl 0781.35025 Biler, Piotr 28 1992 Long time behavior of solutions of the generalized Benjamin-Bona-Mahony equation in two space dimensions. Zbl 0759.35012 Biler, Piotr 25 1992 Scattering of small solutions to generalized Benjamin-Bona-Mahony equation in several space dimensions. Zbl 0796.35142 Biler, Piotr; Dziubański, Jacek; Hebisch, Waldemar 6 1992 Problems and examples in differential equations. Zbl 0760.34001 Biler, Piotr; Nadzieja, Tadeusz 2 1992 Time decay of solutions of semilinear strongly damped generalized wave equations. Zbl 0753.35011 Biler, Piotr 8 1991 Attractors for the system of Schrödinger and Klein-Gordon equations with Yukawa coupling. Zbl 0725.35020 Biler, Piotr 45 1990 Problems in mathematical analysis. Zbl 0697.00003 Biler, Piotr; Witkowski, Alfred 10 1990 Regular decay of solutions of strongly damped nonlinear hyperbolic equations. Zbl 0666.34072 Biler, Piotr 6 1989 A singular perturbation problem for nonlinear damped hyperbolic equations. Zbl 0701.35013 Biler, Piotr 4 1989 Exponential decay of solutions of damped nonlinear hyperbolic equations. Zbl 0656.35091 Biler, Piotr 4 1987 On the stationary solutions of Burgers’ equation. Zbl 0635.35008 Biler, Piotr 1 1987 Remark on the decay for damped string and beam equations. Zbl 0611.35057 Biler, Piotr 38 1986 Asymptotic behaviour in time of solutions to some equations generalizing the Korteweg-de Vries-Burgers equation. Zbl 0581.35071 Biler, Piotr 1 1985 Large-time behaviour of periodic solutions to dissipative equations of Korteweg-de Vries-Burgers type. Zbl 0561.35065 Biler, Piotr 20 1984 Asymptotic behaviour in time of solutions to some equations generalizing the Korteweg-de Vries-Burgers equation. Zbl 0561.35064 Biler, Piotr 19 1984 Stochastic interpretation of potential scattering in quantum mechanics. Zbl 0534.60052 Biler, P. 2 1984 all cited Publications top 5 cited Publications all top 5 Cited by 1,278 Authors 59 Winkler, Michael 39 Biler, Piotr 29 Karch, Grzegorz 23 Vazquez, Juan Luis 22 Laurençot, Philippe 19 Ogawa, Takayoshi 18 Lankeit, Johannes 17 Liu, Zuhan 16 Mu, Chunlai 15 Carrillo de la Plata, José Antonio 15 Zhao, Jihong 13 Dolbeault, Jean 13 Zhou, Ling 12 Naumkin, Pavel Ivanovich 11 Granero Belinchón, Rafael 11 Nagai, Toshitaka 11 Tao, Youshan 10 Mizoguchi, Noriko 10 Suzuki, Takashi 10 Wang, Weike 9 Ferreira, Lucas Catão de Freitas 9 Goodrich, Christopher S. 9 Senba, Takasi 9 Stańczy, Robert 9 Sugiyama, Yoshie 9 Woyczynski, Wojbor A. 8 Black, Tobias 8 Calvez, Vincent 8 Cieślak, Tomasz 8 Fujie, Kentaro 8 Kaikina, Elena Igorevna 8 Lin, Ke 8 Liu, Chun 8 Stinner, Christian 8 Wakui, Hiroshi 8 Zheng, Pan 7 Ahn, Jaewook 7 Cui, Shangbin 7 Hsieh, Chia-Yu 7 Imbert, Cyril 7 Jüngel, Ansgar 7 Kurokiba, Masaki 7 Lei, Yuzhu 7 Nadzieja, Tadeusz 7 Negreanu, Mihaela 7 Perthame, Benoît 7 Wang, Wei 7 Yamamoto, Masakazu 7 Zamponi, Nicola 6 Blanchet, Adrien 6 Burczak, Jan 6 Chen, Miaochao 6 Das, Kinkar Chandra 6 del Teso, Félix 6 Deng, Chao 6 Duan, Jinqiao 6 Fan, Jishan 6 Fuest, Mario 6 Liu, Ji 6 Liu, Qilin 6 Lu, Shengqi 6 Shi, Qihong 6 Souplet, Philippe 6 Wang, Qi 6 Wang, Shu 6 Wang, Yifu 6 Yamada, Tetsuya 6 Zhang, Qian 6 Zheng, Sining 6 Zienkiewicz, Jacek 5 Alibaud, Nathaël 5 Bona, Jerry Lloyd 5 Guo, Boling 5 Hayashi, Nakao 5 He, Siming 5 Iagar, Razvan Gabriel 5 Ignatova, Mihaela 5 Jakobsen, Espen Robstad 5 Jiang, Kerui 5 Korpusov, Maksim Olegovich 5 Li, Yuxiang 5 Smaoui, Nejib 5 Suguro, Takeshi 5 Tan, Zhong 5 Tello, José Ignacio 5 Tu, Xinyu 5 van Meurs, Patrick 5 Wang, Bixiang 5 Wu, Jianglun 5 Zhang, Linghai 5 Zheng, Jiashan 4 Bedrossian, Jacob 4 Bellomo, Nicola 4 Bertozzi, Andrea Louise 4 Boritchev, Alexandre 4 Bors, Dorota 4 Caffarelli, Luis Ángel 4 Chen, Qionglei 4 Clark, Haroldo Rodrigues 4 Constantin, Peter ...and 1,178 more Authors all top 5 Cited in 245 Serials 103 Journal of Differential Equations 71 Journal of Mathematical Analysis and Applications 56 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 41 Mathematical Methods in the Applied Sciences 31 Discrete and Continuous Dynamical Systems. Series B 27 Nonlinearity 27 Nonlinear Analysis. Real World Applications 24 SIAM Journal on Mathematical Analysis 23 Journal of Mathematical Physics 21 Archive for Rational Mechanics and Analysis 21 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 21 Discrete and Continuous Dynamical Systems 19 Applicable Analysis 19 ZAMP. Zeitschrift für angewandte Mathematik und Physik 18 Journal of Functional Analysis 16 Communications in Partial Differential Equations 16 Calculus of Variations and Partial Differential Equations 15 Computers & Mathematics with Applications 15 Acta Applicandae Mathematicae 15 Applied Mathematics Letters 14 Journal of Evolution Equations 13 NoDEA. Nonlinear Differential Equations and Applications 12 Applied Mathematics and Computation 12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 12 Journal de Mathématiques Pures et Appliquées. Neuvième Série 12 Discrete and Continuous Dynamical Systems. Series S 11 Journal of Computational Physics 10 Communications on Pure and Applied Analysis 9 Monatshefte für Mathematik 9 Nonlinear Analysis. Theory, Methods & Applications 8 Advances in Mathematics 8 Mathematische Annalen 8 Physica D 7 Communications in Mathematical Physics 7 Numerische Mathematik 7 Journal of Scientific Computing 7 Communications in Contemporary Mathematics 7 Boundary Value Problems 7 Kinetic and Related Models 6 Transactions of the American Mathematical Society 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Journal of Dynamics and Differential Equations 5 Reports on Mathematical Physics 5 Indiana University Mathematics Journal 5 Mathematische Nachrichten 5 Chinese Annals of Mathematics. Series B 5 Applied Numerical Mathematics 5 Communications in Nonlinear Science and Numerical Simulation 5 Acta Mathematica Scientia. Series B. (English Edition) 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Communications on Pure and Applied Mathematics 4 Journal of Mathematical Biology 4 Journal of Statistical Physics 4 Journal of the London Mathematical Society. Second Series 4 Proceedings of the American Mathematical Society 4 Acta Mathematicae Applicatae Sinica. English Series 4 European Journal of Applied Mathematics 4 Applications of Mathematics 4 SIAM Journal on Scientific Computing 4 Nonlinear Dynamics 4 Fractional Calculus & Applied Analysis 4 Journal of the European Mathematical Society (JEMS) 4 Annales Henri Poincaré 4 Advanced Nonlinear Studies 4 Stochastics and Dynamics 4 Journal of Elliptic and Parabolic Equations 4 Mathematics in Engineering 3 Journal d’Analyse Mathématique 3 Physica A 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Mathematische Zeitschrift 3 Mathematical and Computer Modelling 3 Computational Mathematics and Mathematical Physics 3 Applied Mathematical Modelling 3 SIAM Journal on Applied Mathematics 3 Stochastic Processes and their Applications 3 Journal of Nonlinear Science 3 Topological Methods in Nonlinear Analysis 3 Electronic Journal of Differential Equations (EJDE) 3 Bulletin des Sciences Mathématiques 3 Abstract and Applied Analysis 3 Acta Mathematica Sinica. English Series 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Analysis and Applications (Singapore) 3 Advances in Difference Equations 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Journal of Fixed Point Theory and Applications 3 Networks and Heterogeneous Media 3 Science China. Mathematics 3 Séminaire Laurent Schwartz. EDP et Applications 2 Mathematical Notes 2 Mathematics of Computation 2 Annales Polonici Mathematici 2 Applied Mathematics and Optimization 2 BIT 2 Duke Mathematical Journal 2 Functional Analysis and its Applications 2 Journal of Computational and Applied Mathematics 2 Manuscripta Mathematica 2 Mathematika ...and 145 more Serials all top 5 Cited in 41 Fields 1,089 Partial differential equations (35-XX) 447 Biology and other natural sciences (92-XX) 130 Fluid mechanics (76-XX) 110 Numerical analysis (65-XX) 67 Probability theory and stochastic processes (60-XX) 67 Statistical mechanics, structure of matter (82-XX) 48 Operator theory (47-XX) 48 Mechanics of deformable solids (74-XX) 44 Real functions (26-XX) 39 Ordinary differential equations (34-XX) 37 Optics, electromagnetic theory (78-XX) 35 Dynamical systems and ergodic theory (37-XX) 25 Integral equations (45-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 15 Functional analysis (46-XX) 13 Quantum theory (81-XX) 12 Astronomy and astrophysics (85-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 9 Combinatorics (05-XX) 8 Systems theory; control (93-XX) 7 Special functions (33-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Functions of a complex variable (30-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Difference and functional equations (39-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Differential geometry (53-XX) 4 Mechanics of particles and systems (70-XX) 3 Potential theory (31-XX) 3 Approximations and expansions (41-XX) 3 Integral transforms, operational calculus (44-XX) 3 Relativity and gravitational theory (83-XX) 2 Topological groups, Lie groups (22-XX) 2 Measure and integration (28-XX) 2 Convex and discrete geometry (52-XX) 2 Geophysics (86-XX) 1 Nonassociative rings and algebras (17-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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