Edit Profile (opens in new tab) Biler, Piotr Compute Distance To: Compute 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 · IdRef · theses.fr Documents Indexed: 106 Publications since 1984, including 3 Books 2 Contributions as Editor · 2 Further Contributions Reviewing Activity: 583 Reviews Co-Authors: 29 Co-Authors with 70 Joint Publications 931 Co-Co-Authors all top 5 Co-Authors 39 single-authored 28 Karch, Grzegorz 21 Nadzieja, Tadeusz 10 Woyczynski, Wojbor A. 6 Dolbeault, Jean 6 Laurençot, Philippe 6 Zienkiewicz, Jacek 4 Guerra, Ignacio A. 3 Boritchev, Alexandre 3 Brandolese, Lorenzo 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 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 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 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 103 Partial differential equations (35-XX) 29 Statistical mechanics, structure of matter (82-XX) 19 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 87 Publications have been cited 1,828 times in 1,035 Documents Cited by ▼ Year ▼ The Debye system: Existence and large time behavior of solutions. Zbl 0814.35054Biler, Piotr; Hebisch, Waldemar; Nadzieja, Tadeusz 134 1994 Local and global solvability of some parabolic systems modelling chemotaxis. Zbl 0913.35021Biler, Piotr 133 1998 Global solutions to some parabolic-elliptic systems of chemotaxis. Zbl 0941.35009Biler, Piotr 88 1999 Long time behavior of solutions of Nernst-Planck and Debye-Hückel drift-diffusion systems. Zbl 0976.82046Biler, Piotr; Dolbeault, Jean 86 2000 Fractal Burgers equations. Zbl 0911.35100Biler, Piotr; Funaki, Tadahisa; Woyczynski, Wojbor A. 84 1998 Existence and nonexistence of solutions for a model of gravitational interaction of particles. I. Zbl 0817.35041Biler, Piotr; Nadzieja, Tadeusz 60 1994 Critical nonlinearity exponent and self-similar asymptotics for Lévy conservation laws. Zbl 0991.35009Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A. 59 2001 Blowup of solutions to generalized Keller-Segel model. Zbl 1239.35177Biler, Piotr; Karch, Grzegorz 58 2010 The \(8\pi\)-problem for radially symmetric solutions of a chemotaxis model in the plane. Zbl 1105.35131Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe; Nadzieja, Tadeusz 53 2006 Nonlinear diffusion of dislocation density and self-similar solutions. Zbl 1207.82049Biler, Piotr; Karch, Grzegorz; Monneau, Régis 49 2010 Global and exploding solutions for nonlocal quadratic evolution problems. Zbl 0940.35035Biler, Piotr; Woyczynski, Wojbor A. 47 1999 Existence and nonexistence of solutions for a model of gravitational interaction of particles. III. Zbl 0836.35076Biler, Piotr 45 1995 The nonlocal porous medium equation: Barenblatt profiles and other weak solutions. Zbl 1308.35197Biler, Piotr; Imbert, Cyril; Karch, Grzegorz 45 2015 Attractors for the system of Schrödinger and Klein-Gordon equations with Yukawa coupling. Zbl 0725.35020Biler, Piotr 40 1990 Blowup in higher dimensional two species chemotactic systems. Zbl 1278.35250Biler, Piotr; Espejo, Elio E.; Guerra, Ignacio 38 2013 Two-dimensional chemotaxis models with fractional diffusion. Zbl 1163.35490Biler, Piotr; Wu, Gang 37 2009 The Cauchy problem and self-similar solutions for a nonlinear parabolic equation. Zbl 0829.35044Biler, Piotr 36 1995 Existence and nonexistence of solutions for a model of gravitational interaction of particles. II. Zbl 0832.35015Biler, Piotr; Hilhorst, Danielle; Nadzieja, Tadeusz 36 1994 Remark on the decay for damped string and beam equations. Zbl 0611.35057Biler, Piotr 36 1986 Large mass self-similar solutions of the parabolic-parabolic Keller-Segel model of chemotaxis. Zbl 1230.92011Biler, Piotr; Corrias, Lucilla; Dolbeault, Jean 33 2011 Barenblatt profiles for a nonlocal porous medium equation. Zbl 1221.35209Biler, Piotr; Imbert, Cyril; Karch, Grzegorz 32 2011 Global regular and singular solutions for a model of gravitating particles. Zbl 1078.35097Biler, Piotr; Cannone, Marco; Guerra, Ignacio A.; Karch, Grzegorz 31 2004 Asymptotics for conservation laws involving Lévy diffusion generators. Zbl 0990.35023Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A. 28 2001 Existence and asymptotics of solutions for a parabolic-elliptic system with nonlinear no-flux boundary conditions. Zbl 0781.35025Biler, Piotr 26 1992 Long time behavior of solutions of the generalized Benjamin-Bona-Mahony equation in two space dimensions. Zbl 0759.35012Biler, Piotr 24 1992 Asymptotic properties of solutions of the viscous Hamilton-Jacobi equation. Zbl 1056.35024Biler, Piotr; Guedda, Mohammed; Karch, Grzegorz 23 2004 Local criteria for blowup in two-dimensional chemotaxis models. Zbl 1360.35290Biler, Piotr; Cieślak, Tomasz; Karch, Grzegorz; Zienkiewicz, Jacek 22 2017 Asymptotics for multifractal conservation laws. Zbl 0931.35015Biler, Piotr; Karch, Grzegorz; Woyczynski, Wojbor A. 22 1999 The Scottish Book. Mathematics from the Scottish Café. With selected problems from the New Scottish Book. 2nd updated and enlarged edition. Zbl 1331.01039Mauldin, R. Daniel 20 2015 Asymptotic behaviour in time of solutions to some equations generalizing the Korteweg-de Vries-Burgers equation. Zbl 0561.35064Biler, Piotr 19 1984 Large-time behaviour of periodic solutions to dissipative equations of Korteweg-de Vries-Burgers type. Zbl 0561.35065Biler, Piotr 19 1984 A class of nonlocal parabolic problems occurring in statistical mechanics. Zbl 0818.35046Biler, Piotr; Nadzieja, Tadeusz 18 1993 Nonisothermal systems of self-attracting Fermi-Dirac particles. Zbl 1146.35415Biler, Piotr; Nadzieja, Tadeusz; Stańczy, Robert 17 2004 Multifractal and Lévy conservation laws. Zbl 0945.35015Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A. 17 2000 Optimal criteria for blowup of radial and \(N\)-symmetric solutions of chemotaxis systems. Zbl 1329.35316Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek 17 2015 The \(8\pi\)-problem for radially symmetric solutions of a chemotaxis model in a disc. Zbl 1135.35367Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe; Nadzieja, Tadeusz 16 2006 Growth and accretion of mass in an astrophysical model. Zbl 0838.35105Biler, P. 14 1995 Interacting particle approximation for nonlocal quadratic evolution problems. Zbl 0985.60091Biler, Piotr; Funaki, Tadahisa; Woyczynski, Wojbor A. 14 1999 Blowup and self-similar solutions for two-component drift-diffusion systems. Zbl 1251.35171Biler, Piotr; Guerra, Ignacio 14 2012 On the parabolic-elliptic limit of the doubly parabolic Keller–Segel system modelling chemotaxis. Zbl 1167.35316Biler, Piotr; Brandolese, Lorenzo 14 2009 A nonlocal singular parabolic problem modelling gravitational interaction of particles. Zbl 0952.35008Biler, Piotr; Nadzieja, Tadeusz 13 1998 Radially symmetric solutions of a chemotaxis model in the plane – the supercritical case. Zbl 1153.35395Biler, Piotr 13 2008 Blowup of solutions to a diffusive aggregation model. Zbl 1177.35188Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe 13 2009 Global and exploding solutions in a model of self-gravitating systems. Zbl 1043.85001Biler, Piotr; Nadzieja, Tadeusz 12 2003 Large global-in-time solutions to a nonlocal model of chemotaxis. Zbl 1398.35248Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek 12 2018 Self-interaction of Brownian particles coupled with thermodynamic processes. Zbl 1010.82028Biler, Piotr; Krzywicki, Andrzej; Nadzieja, Tadeusz 12 1998 Existence of solutions for the Keller-Segel model of chemotaxis with measures as initial data. Zbl 1326.35399Biler, Piotr; Zienkiewicz, Jacek 10 2015 Nonlocal parabolic problems in statistical mechanics. Zbl 0892.35073Biler, Piotr; Nadzieja, Tadeusz 10 1997 Large global-in-time solutions of the parabolic-parabolic Keller-Segel system on the plane. Zbl 1326.35398Biler, Piotr; Guerra, Ignacio; Karch, Grzegorz 10 2015 Steady states for Streater’s energy-transport models of self-gravitating particles. Zbl 1044.82013Biler, 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 0753.35011Biler, Piotr 8 1991 Problems in mathematical analysis. Zbl 0697.00003Biler, Piotr; Witkowski, Alfred 8 1990 Large time asymptotics of nonlinear drift-diffusion systems with Poisson coupling. Zbl 0988.35134Biler, Piotr; Dolbeault, Jean; Markowich, Peter A. 8 2001 Generalized Fokker–Planck equations and convergence to their equilibria. Zbl 1024.35013Biler, Piotr; Karch, Grzegorz 6 2003 Scattering of small solutions to generalized Benjamin-Bona-Mahony equation in several space dimensions. Zbl 0796.35142Biler, Piotr; Dziubański, Jacek; Hebisch, Waldemar 6 1992 Morrey spaces norms and criteria for blowup in chemotaxis models. Zbl 1333.35299Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek 6 2016 Regular decay of solutions of strongly damped nonlinear hyperbolic equations. Zbl 0666.34072Biler, Piotr 6 1989 Mathematical challenges in the theory of chemotaxis. Zbl 1403.35300Biler, Piotr 5 2018 Blowing up radial solutions in the minimal Keller-Segel model of chemotaxis. Zbl 1417.35208Biler, Piotr; Zienkiewicz, Jacek 5 2019 Nonlocal quadratic evolution problems. Zbl 0953.35070Biler, Piotr; Woyczyński, Wojbor A. 5 2000 On an evolution system describing self-gravitating Fermi-Dirac particles. Zbl 1103.35086Biler, Piotr; Laurençot, Philippe; Nadzieja, Tadeusz 5 2004 A singular problem in electrolytes theory. Zbl 0885.35051Biler, Piotr; Nadzieja, Tadeusz 5 1997 Singularities of solutions to chemotaxis systems. Zbl 1450.35001Biler, Piotr 4 2020 Growth and accretion of mass in an astrophysical model. II. Zbl 0845.35011Biler, P.; Nadzieja, T. 4 1995 A note on the paper of Y. Naito: “Asymptotically self-similar solutions for the parabolic system modelling chemotaxis”. Zbl 1116.35054Biler, Piotr 4 2006 Nonlinear diffusion models for self-gravitating particles. Zbl 1113.35328Biler, Piotr; Stańczy, Robert 4 2007 A singular perturbation problem for nonlinear damped hyperbolic equations. Zbl 0701.35013Biler, Piotr 4 1989 Local and global solutions of a nonlinear nonlocal parabolic problem. Zbl 0877.35054Biler, Piotr 4 1995 Structure of steady states for Streater’s energy-transport models of gravitating particles. Zbl 1008.35052Biler, Piotr; Nadzieja, Tadeusz 4 2002 Exponential decay of solutions of damped nonlinear hyperbolic equations. Zbl 0656.35091Biler, Piotr 4 1987 Global radial solutions in classical Keller-Segel model of chemotaxis. Zbl 1428.35616Biler, Piotr; Karch, Grzegorz; Pilarczyk, Dominika 3 2019 Intermediate asymptotics in \(L^{1}\) for general nonlinear diffusion equations. Zbl 1011.35019Biler, P.; Dolbeault, J.; Esteban, M. J. 3 2002 Asymptotic stability of Navier-Stokes flow past an obstacle. Zbl 1161.35459Biler, Piotr; Cannone, Marco; Karch, Grzegorz 2 2004 Around a singular solution of a nonlocal nonlinear heat equation. Zbl 1407.35105Biler, Piotr; Pilarczyk, Dominika 2 2019 A Neumann problem for a convection-diffusion equation on the half-line. Zbl 1003.35065Biler, Piotr; Karch, Grzegorz 2 2000 Problems and examples in differential equations. Zbl 0760.34001Biler, Piotr; Nadzieja, Tadeusz 2 1992 Stochastic interpretation of potential scattering in quantum mechanics. Zbl 0534.60052Biler, P. 2 1984 Steady states and long time asymptotics of solutions of Streater’s models. Zbl 1046.82020Biler, Piotr 1 2001 Blowup versus global in time existence of solutions for nonlinear heat equations. Zbl 1408.35072Biler, Piotr 1 2018 Entropy methods and intermediate asymptotics for nonlinear drift-diffusion systems. Zbl 1091.35504Biler, Piotr 1 2002 Global existence versus blow up for some models of interacting particles. Zbl 1116.35015Biler, Piotr; Brandolese, Lorenzo 1 2006 Asymptotics and high dimensional approximations for nonlinear pseudodifferential equations involving Lévy generators. Zbl 0986.35148Biler, P.; Karch, G.; Woyczyński, W. A. 1 2001 Stationary solutions, intermediate asymptotics and large-time behaviour of type II Streater’s models. Zbl 1003.35120Biler, Piotr; Karch, Grzegorz; Dolbeault, Jean; Esteban, Maria J. 1 2001 Concentration phenomena in a diffusive aggregation model. Zbl 1455.35264Biler, Piotr; Boritchev, Alexandre; Karch, Grzegorz; Laurençot, Philippe 1 2021 Mean field models for self-gravitating particles. Zbl 1181.35290Biler, Piotr; Stańczy, Robert 1 2006 On the stationary solutions of Burgers’ equation. Zbl 0635.35008Biler, Piotr 1 1987 Asymptotic behaviour in time of solutions to some equations generalizing the Korteweg-de Vries-Burgers equation. Zbl 0581.35071Biler, Piotr 1 1985 Concentration phenomena in a diffusive aggregation model. Zbl 1455.35264Biler, Piotr; Boritchev, Alexandre; Karch, Grzegorz; Laurençot, Philippe 1 2021 Singularities of solutions to chemotaxis systems. Zbl 1450.35001Biler, Piotr 4 2020 Blowing up radial solutions in the minimal Keller-Segel model of chemotaxis. Zbl 1417.35208Biler, Piotr; Zienkiewicz, Jacek 5 2019 Global radial solutions in classical Keller-Segel model of chemotaxis. Zbl 1428.35616Biler, Piotr; Karch, Grzegorz; Pilarczyk, Dominika 3 2019 Around a singular solution of a nonlocal nonlinear heat equation. Zbl 1407.35105Biler, Piotr; Pilarczyk, Dominika 2 2019 Large global-in-time solutions to a nonlocal model of chemotaxis. Zbl 1398.35248Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek 12 2018 Mathematical challenges in the theory of chemotaxis. Zbl 1403.35300Biler, Piotr 5 2018 Blowup versus global in time existence of solutions for nonlinear heat equations. Zbl 1408.35072Biler, Piotr 1 2018 Local criteria for blowup in two-dimensional chemotaxis models. Zbl 1360.35290Biler, Piotr; Cieślak, Tomasz; Karch, Grzegorz; Zienkiewicz, Jacek 22 2017 Morrey spaces norms and criteria for blowup in chemotaxis models. Zbl 1333.35299Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek 6 2016 The nonlocal porous medium equation: Barenblatt profiles and other weak solutions. Zbl 1308.35197Biler, Piotr; Imbert, Cyril; Karch, Grzegorz 45 2015 The Scottish Book. Mathematics from the Scottish Café. With selected problems from the New Scottish Book. 2nd updated and enlarged edition. Zbl 1331.01039Mauldin, R. Daniel 20 2015 Optimal criteria for blowup of radial and \(N\)-symmetric solutions of chemotaxis systems. Zbl 1329.35316Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek 17 2015 Existence of solutions for the Keller-Segel model of chemotaxis with measures as initial data. Zbl 1326.35399Biler, Piotr; Zienkiewicz, Jacek 10 2015 Large global-in-time solutions of the parabolic-parabolic Keller-Segel system on the plane. Zbl 1326.35398Biler, Piotr; Guerra, Ignacio; Karch, Grzegorz 10 2015 Blowup in higher dimensional two species chemotactic systems. Zbl 1278.35250Biler, Piotr; Espejo, Elio E.; Guerra, Ignacio 38 2013 Blowup and self-similar solutions for two-component drift-diffusion systems. Zbl 1251.35171Biler, Piotr; Guerra, Ignacio 14 2012 Large mass self-similar solutions of the parabolic-parabolic Keller-Segel model of chemotaxis. Zbl 1230.92011Biler, Piotr; Corrias, Lucilla; Dolbeault, Jean 33 2011 Barenblatt profiles for a nonlocal porous medium equation. Zbl 1221.35209Biler, Piotr; Imbert, Cyril; Karch, Grzegorz 32 2011 Blowup of solutions to generalized Keller-Segel model. Zbl 1239.35177Biler, Piotr; Karch, Grzegorz 58 2010 Nonlinear diffusion of dislocation density and self-similar solutions. Zbl 1207.82049Biler, Piotr; Karch, Grzegorz; Monneau, Régis 49 2010 Two-dimensional chemotaxis models with fractional diffusion. Zbl 1163.35490Biler, Piotr; Wu, Gang 37 2009 On the parabolic-elliptic limit of the doubly parabolic Keller–Segel system modelling chemotaxis. Zbl 1167.35316Biler, Piotr; Brandolese, Lorenzo 14 2009 Blowup of solutions to a diffusive aggregation model. Zbl 1177.35188Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe 13 2009 Radially symmetric solutions of a chemotaxis model in the plane – the supercritical case. Zbl 1153.35395Biler, Piotr 13 2008 Nonlinear diffusion models for self-gravitating particles. Zbl 1113.35328Biler, Piotr; Stańczy, Robert 4 2007 The \(8\pi\)-problem for radially symmetric solutions of a chemotaxis model in the plane. Zbl 1105.35131Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe; Nadzieja, Tadeusz 53 2006 The \(8\pi\)-problem for radially symmetric solutions of a chemotaxis model in a disc. Zbl 1135.35367Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe; Nadzieja, Tadeusz 16 2006 A note on the paper of Y. Naito: “Asymptotically self-similar solutions for the parabolic system modelling chemotaxis”. Zbl 1116.35054Biler, Piotr 4 2006 Global existence versus blow up for some models of interacting particles. Zbl 1116.35015Biler, Piotr; Brandolese, Lorenzo 1 2006 Mean field models for self-gravitating particles. Zbl 1181.35290Biler, Piotr; Stańczy, Robert 1 2006 Global regular and singular solutions for a model of gravitating particles. Zbl 1078.35097Biler, Piotr; Cannone, Marco; Guerra, Ignacio A.; Karch, Grzegorz 31 2004 Asymptotic properties of solutions of the viscous Hamilton-Jacobi equation. Zbl 1056.35024Biler, Piotr; Guedda, Mohammed; Karch, Grzegorz 23 2004 Nonisothermal systems of self-attracting Fermi-Dirac particles. Zbl 1146.35415Biler, Piotr; Nadzieja, Tadeusz; Stańczy, Robert 17 2004 Steady states for Streater’s energy-transport models of self-gravitating particles. Zbl 1044.82013Biler, Piotr; Dolbeault, Jean; Esteban, Maria J.; Markowich, Peter A.; Nadzieja, Tadeusz 8 2004 On an evolution system describing self-gravitating Fermi-Dirac particles. Zbl 1103.35086Biler, Piotr; Laurençot, Philippe; Nadzieja, Tadeusz 5 2004 Asymptotic stability of Navier-Stokes flow past an obstacle. Zbl 1161.35459Biler, Piotr; Cannone, Marco; Karch, Grzegorz 2 2004 Global and exploding solutions in a model of self-gravitating systems. Zbl 1043.85001Biler, Piotr; Nadzieja, Tadeusz 12 2003 Generalized Fokker–Planck equations and convergence to their equilibria. Zbl 1024.35013Biler, Piotr; Karch, Grzegorz 6 2003 Structure of steady states for Streater’s energy-transport models of gravitating particles. Zbl 1008.35052Biler, Piotr; Nadzieja, Tadeusz 4 2002 Intermediate asymptotics in \(L^{1}\) for general nonlinear diffusion equations. Zbl 1011.35019Biler, P.; Dolbeault, J.; Esteban, M. J. 3 2002 Entropy methods and intermediate asymptotics for nonlinear drift-diffusion systems. Zbl 1091.35504Biler, Piotr 1 2002 Critical nonlinearity exponent and self-similar asymptotics for Lévy conservation laws. Zbl 0991.35009Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A. 59 2001 Asymptotics for conservation laws involving Lévy diffusion generators. Zbl 0990.35023Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A. 28 2001 Large time asymptotics of nonlinear drift-diffusion systems with Poisson coupling. Zbl 0988.35134Biler, Piotr; Dolbeault, Jean; Markowich, Peter A. 8 2001 Steady states and long time asymptotics of solutions of Streater’s models. Zbl 1046.82020Biler, Piotr 1 2001 Asymptotics and high dimensional approximations for nonlinear pseudodifferential equations involving Lévy generators. Zbl 0986.35148Biler, P.; Karch, G.; Woyczyński, W. A. 1 2001 Stationary solutions, intermediate asymptotics and large-time behaviour of type II Streater’s models. Zbl 1003.35120Biler, Piotr; Karch, Grzegorz; Dolbeault, Jean; Esteban, Maria J. 1 2001 Long time behavior of solutions of Nernst-Planck and Debye-Hückel drift-diffusion systems. Zbl 0976.82046Biler, Piotr; Dolbeault, Jean 86 2000 Multifractal and Lévy conservation laws. Zbl 0945.35015Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A. 17 2000 Nonlocal quadratic evolution problems. Zbl 0953.35070Biler, Piotr; Woyczyński, Wojbor A. 5 2000 A Neumann problem for a convection-diffusion equation on the half-line. Zbl 1003.35065Biler, Piotr; Karch, Grzegorz 2 2000 Global solutions to some parabolic-elliptic systems of chemotaxis. Zbl 0941.35009Biler, Piotr 88 1999 Global and exploding solutions for nonlocal quadratic evolution problems. Zbl 0940.35035Biler, Piotr; Woyczynski, Wojbor A. 47 1999 Asymptotics for multifractal conservation laws. Zbl 0931.35015Biler, Piotr; Karch, Grzegorz; Woyczynski, Wojbor A. 22 1999 Interacting particle approximation for nonlocal quadratic evolution problems. Zbl 0985.60091Biler, Piotr; Funaki, Tadahisa; Woyczynski, Wojbor A. 14 1999 Local and global solvability of some parabolic systems modelling chemotaxis. Zbl 0913.35021Biler, Piotr 133 1998 Fractal Burgers equations. Zbl 0911.35100Biler, Piotr; Funaki, Tadahisa; Woyczynski, Wojbor A. 84 1998 A nonlocal singular parabolic problem modelling gravitational interaction of particles. Zbl 0952.35008Biler, Piotr; Nadzieja, Tadeusz 13 1998 Self-interaction of Brownian particles coupled with thermodynamic processes. Zbl 1010.82028Biler, Piotr; Krzywicki, Andrzej; Nadzieja, Tadeusz 12 1998 Nonlocal parabolic problems in statistical mechanics. Zbl 0892.35073Biler, Piotr; Nadzieja, Tadeusz 10 1997 A singular problem in electrolytes theory. Zbl 0885.35051Biler, Piotr; Nadzieja, Tadeusz 5 1997 Existence and nonexistence of solutions for a model of gravitational interaction of particles. III. Zbl 0836.35076Biler, Piotr 45 1995 The Cauchy problem and self-similar solutions for a nonlinear parabolic equation. Zbl 0829.35044Biler, Piotr 36 1995 Growth and accretion of mass in an astrophysical model. Zbl 0838.35105Biler, P. 14 1995 Growth and accretion of mass in an astrophysical model. II. Zbl 0845.35011Biler, P.; Nadzieja, T. 4 1995 Local and global solutions of a nonlinear nonlocal parabolic problem. Zbl 0877.35054Biler, Piotr 4 1995 The Debye system: Existence and large time behavior of solutions. Zbl 0814.35054Biler, Piotr; Hebisch, Waldemar; Nadzieja, Tadeusz 134 1994 Existence and nonexistence of solutions for a model of gravitational interaction of particles. I. Zbl 0817.35041Biler, Piotr; Nadzieja, Tadeusz 60 1994 Existence and nonexistence of solutions for a model of gravitational interaction of particles. II. Zbl 0832.35015Biler, Piotr; Hilhorst, Danielle; Nadzieja, Tadeusz 36 1994 A class of nonlocal parabolic problems occurring in statistical mechanics. Zbl 0818.35046Biler, Piotr; Nadzieja, Tadeusz 18 1993 Existence and asymptotics of solutions for a parabolic-elliptic system with nonlinear no-flux boundary conditions. Zbl 0781.35025Biler, Piotr 26 1992 Long time behavior of solutions of the generalized Benjamin-Bona-Mahony equation in two space dimensions. Zbl 0759.35012Biler, Piotr 24 1992 Scattering of small solutions to generalized Benjamin-Bona-Mahony equation in several space dimensions. Zbl 0796.35142Biler, Piotr; Dziubański, Jacek; Hebisch, Waldemar 6 1992 Problems and examples in differential equations. Zbl 0760.34001Biler, Piotr; Nadzieja, Tadeusz 2 1992 Time decay of solutions of semilinear strongly damped generalized wave equations. Zbl 0753.35011Biler, Piotr 8 1991 Attractors for the system of Schrödinger and Klein-Gordon equations with Yukawa coupling. Zbl 0725.35020Biler, Piotr 40 1990 Problems in mathematical analysis. Zbl 0697.00003Biler, Piotr; Witkowski, Alfred 8 1990 Regular decay of solutions of strongly damped nonlinear hyperbolic equations. Zbl 0666.34072Biler, Piotr 6 1989 A singular perturbation problem for nonlinear damped hyperbolic equations. Zbl 0701.35013Biler, Piotr 4 1989 Exponential decay of solutions of damped nonlinear hyperbolic equations. Zbl 0656.35091Biler, Piotr 4 1987 On the stationary solutions of Burgers’ equation. Zbl 0635.35008Biler, Piotr 1 1987 Remark on the decay for damped string and beam equations. Zbl 0611.35057Biler, Piotr 36 1986 Asymptotic behaviour in time of solutions to some equations generalizing the Korteweg-de Vries-Burgers equation. Zbl 0581.35071Biler, Piotr 1 1985 Asymptotic behaviour in time of solutions to some equations generalizing the Korteweg-de Vries-Burgers equation. Zbl 0561.35064Biler, Piotr 19 1984 Large-time behaviour of periodic solutions to dissipative equations of Korteweg-de Vries-Burgers type. Zbl 0561.35065Biler, Piotr 19 1984 Stochastic interpretation of potential scattering in quantum mechanics. Zbl 0534.60052Biler, P. 2 1984 all cited Publications top 5 cited Publications all top 5 Cited by 1,125 Authors 49 Winkler, Michael 37 Biler, Piotr 28 Karch, Grzegorz 22 Vazquez, Juan Luis 21 Laurençot, Philippe 15 Lankeit, Johannes 15 Mu, Chunlai 15 Ogawa, Takayoshi 14 Carrillo de la Plata, José Antonio 13 Dolbeault, Jean 13 Zhao, Jihong 11 Liu, Zuhan 11 Nagai, Toshitaka 11 Naumkin, Pavel Ivanovich 11 Tao, Youshan 10 Granero Belinchón, Rafael 10 Mizoguchi, Noriko 9 Ferreira, Lucas Catão de Freitas 9 Senba, Takasi 9 Sugiyama, Yoshie 9 Suzuki, Takashi 9 Woyczynski, Wojbor A. 9 Zhou, Ling 8 Calvez, Vincent 8 Cieślak, Tomasz 8 Fujie, Kentaro 8 Goodrich, Christopher S. 8 Kaikina, Elena Igorevna 8 Liu, Chun 8 Stinner, Christian 8 Wang, Weike 7 Black, Tobias 7 Cui, Shangbin 7 Hsieh, Chia-Yu 7 Imbert, Cyril 7 Lin, Ke 7 Nadzieja, Tadeusz 7 Perthame, Benoît 7 Stańczy, Robert 7 Yamamoto, Masakazu 7 Zheng, Pan 6 Blanchet, Adrien 6 Burczak, Jan 6 Das, Kinkar Chandra 6 del Teso, Félix 6 Deng, Chao 6 Duan, Jinqiao 6 Fan, Jishan 6 Kurokiba, Masaki 6 Negreanu, Mihaela 6 Shi, Qihong 6 Souplet, Philippe 6 Wakui, Hiroshi 6 Wang, Qi 6 Wang, Shu 6 Wang, Wei 6 Wang, Yifu 6 Yamada, Tetsuya 6 Zhang, Qian 6 Zheng, Sining 6 Zienkiewicz, Jacek 5 Ahn, Jaewook 5 Alibaud, Nathaël 5 Bona, Jerry Lloyd 5 Chen, Miaochao 5 Guo, Boling 5 Hayashi, Nakao 5 Iagar, Razvan Gabriel 5 Ignatova, Mihaela 5 Jakobsen, Espen Robstad 5 Korpusov, Maksim Olegovich 5 Li, Yuxiang 5 Liu, Ji 5 Liu, Qilin 5 Lu, Shengqi 5 Smaoui, Nejib 5 Tan, Zhong 5 Wang, Bixiang 5 Wu, Jianglun 5 Zamponi, Nicola 5 Zhang, Linghai 5 Zheng, Jiashan 4 Bedrossian, Jacob 4 Bellomo, Nicola 4 Bertozzi, Andrea Louise 4 Caffarelli, Luis Ángel 4 Chen, Qionglei 4 Clark, Haroldo Rodrigues 4 Constantin, Peter 4 Corrias, Lucilla 4 Dai, Binxiang 4 Di Francesco, Marco 4 Gagneux, Gérard 4 He, Siming 4 Iwabuchi, Tsukasa 4 Jüngel, Ansgar 4 Laurent, Thomas 4 Lei, Yuzhu 4 Li, Dong 4 Li, Xie ...and 1,025 more Authors all top 5 Cited in 222 Serials 94 Journal of Differential Equations 68 Journal of Mathematical Analysis and Applications 53 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 28 Mathematical Methods in the Applied Sciences 27 Discrete and Continuous Dynamical Systems. Series B 25 Nonlinear Analysis. Real World Applications 22 Journal of Mathematical Physics 21 SIAM Journal on Mathematical Analysis 20 Archive for Rational Mechanics and Analysis 19 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 19 Discrete and Continuous Dynamical Systems 17 Applicable Analysis 16 Journal of Functional Analysis 16 Communications in Partial Differential Equations 15 Computers & Mathematics with Applications 15 Nonlinearity 15 ZAMP. Zeitschrift für angewandte Mathematik und Physik 15 Acta Applicandae Mathematicae 13 Applied Mathematics Letters 13 Calculus of Variations and Partial Differential Equations 13 Journal of Evolution Equations 12 Applied Mathematics and Computation 11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 11 Journal de Mathématiques Pures et Appliquées. Neuvième Série 11 Discrete and Continuous Dynamical Systems. Series S 10 Journal of Computational Physics 10 NoDEA. Nonlinear Differential Equations and Applications 9 Monatshefte für Mathematik 9 Communications on Pure and Applied Analysis 9 Nonlinear Analysis. Theory, Methods & Applications 8 Physica D 7 Communications in Mathematical Physics 7 Advances in Mathematics 7 Numerische Mathematik 7 Journal of Scientific Computing 7 Boundary Value Problems 6 Mathematische Annalen 6 Transactions of the American Mathematical Society 6 Communications in Contemporary Mathematics 6 Kinetic and Related Models 5 Chinese Annals of Mathematics. Series B 5 Applied Numerical Mathematics 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Journal of Dynamics and Differential Equations 5 Communications in Nonlinear Science and Numerical Simulation 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 Proceedings of the American Mathematical Society 4 European Journal of Applied Mathematics 4 Applications of Mathematics 4 Fractional Calculus & Applied Analysis 4 Annales Henri Poincaré 4 Advanced Nonlinear Studies 4 Stochastics and Dynamics 3 Journal d’Analyse Mathématique 3 Physica A 3 Reports on Mathematical Physics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Mathematische Nachrichten 3 Mathematische Zeitschrift 3 Acta Mathematicae Applicatae Sinica. English Series 3 Mathematical and Computer Modelling 3 Computational Mathematics and Mathematical Physics 3 Applied Mathematical Modelling 3 SIAM Journal on Applied Mathematics 3 Journal of Nonlinear Science 3 SIAM Journal on Scientific Computing 3 Topological Methods in Nonlinear Analysis 3 Bulletin des Sciences Mathématiques 3 Nonlinear Dynamics 3 Abstract and Applied Analysis 3 Journal of the European Mathematical Society (JEMS) 3 Acta Mathematica Sinica. English Series 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 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 Science China. Mathematics 3 Séminaire Laurent Schwartz. EDP et Applications 3 Mathematics in Engineering 2 Mathematical Notes 2 Mathematics of Computation 2 BIT 2 Duke Mathematical Journal 2 Functional Analysis and its Applications 2 Journal of Computational and Applied Mathematics 2 Manuscripta Mathematica 2 SIAM Journal on Control and Optimization 2 SIAM Journal on Numerical Analysis 2 Advances in Applied Mathematics 2 Bulletin of the Korean Mathematical Society 2 Revista Matemática Iberoamericana 2 Japan Journal of Industrial and Applied Mathematics 2 The Annals of Applied Probability 2 Journal of Elasticity 2 Stochastic Processes and their Applications 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Journal of Mathematical Sciences (New York) ...and 122 more Serials all top 5 Cited in 40 Fields 947 Partial differential equations (35-XX) 388 Biology and other natural sciences (92-XX) 115 Fluid mechanics (76-XX) 103 Numerical analysis (65-XX) 61 Statistical mechanics, structure of matter (82-XX) 59 Probability theory and stochastic processes (60-XX) 43 Mechanics of deformable solids (74-XX) 40 Real functions (26-XX) 40 Operator theory (47-XX) 36 Ordinary differential equations (34-XX) 32 Dynamical systems and ergodic theory (37-XX) 31 Optics, electromagnetic theory (78-XX) 23 Integral equations (45-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 13 Quantum theory (81-XX) 11 Functional analysis (46-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Astronomy and astrophysics (85-XX) 8 Combinatorics (05-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Systems theory; control (93-XX) 6 Functions of a complex variable (30-XX) 6 Special functions (33-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Difference and functional equations (39-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Mechanics of particles and systems (70-XX) 3 Integral transforms, operational calculus (44-XX) 3 Differential geometry (53-XX) 2 Topological groups, Lie groups (22-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Approximations and expansions (41-XX) 2 Relativity and gravitational theory (83-XX) 1 Nonassociative rings and algebras (17-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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