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Scopus Author ID: 6701822470

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Employment (1)

University of Wrocław: Wrocław, Dolny Śląsk, PL

1981-07-01 to present | professor (Mathematical Institute)
Employment
Source: Self-asserted source
Piotr Biler

Education and qualifications (1)

University of Wrocław : Wrocław, PL

1981-07-01 to 1984-09-24 | PhD (Mathematical Institute)
Education
Source: Self-asserted source
Piotr Biler

Professional activities (2)

Polish Academy of Sciences: Warsaw, PL

2016-12-01 | corresponding member (Wydział III)
Distinction
Source: Self-asserted source
Piotr Biler

University of Wrocław: Wrocław, PL

2008-09-01 to 2016-08-31 | dean (Faculty of Mathematics and Computer Science)
Service
Source: Self-asserted source
Piotr Biler

Funding (1)

Nonlocal parabolic problems: regularity, blowup, pattern formation

2017-07 to 2020-06 | Grant
Narodowe Centrum Nauki (Kraków, PL)
GRANT_NUMBER:

2016/23/B/ST1/00434
Source: Self-asserted source
Piotr Biler

Works (50 of 65)

Items per page:
Page 1 of 2

Sharp Sobolev Estimates for Concentration of Solutions to an Aggregation–Diffusion Equation

Journal of Dynamics and Differential Equations
2022-12 | Journal article
DOI: 10.1007/s10884-021-09998-w
Contributors: Piotr Biler; Alexandre Boritchev; Grzegorz Karch; Philippe Laurençot
Source: check_circle
Crossref

Concentration phenomena in a diffusive aggregation model

Journal of Differential Equations
2021 | Journal article
DOI: 10.1016/j.jde.2020.09.035
Part of ISSN: 0022-0396
Source: Self-asserted source
Piotr Biler

Matematyka w biologii - biologia w matematyce

Przyroda. Działalność człowieka. Dolny Śląsk
2020 | Book chapter
Part of ISBN: 9788379774869
Source: Self-asserted source
Piotr Biler

Singularities of solutions to chemotaxis systems

2020 | Book
ISBN: 9783110597899
Source: Self-asserted source
Piotr Biler

Around a singular solution of a nonlocal nonlinear heat equation

Nonlinear Differential Equations and Applications
2019 | Journal article
DOI: 10.1007/s00030-019-0552-z
Part of ISSN: 1021-9722
Source: Self-asserted source
Piotr Biler
grade
Preferred source (of 2)‎

Blowing up radial solutions in the minimal Keller–Segel model of chemotaxis

Journal of Evolution Equations
2019 | Journal article
DOI: 10.1007/s00028-018-0469-8
Part of ISSN: 1424-3199
Source: Self-asserted source
Piotr Biler
grade
Preferred source (of 3)‎

Blowup of solutions for nonlinear nonlocal heat equations

Monatshefte für Mathematik
2019 | Journal article
DOI: 10.1007/s00605-019-01269-7
Part of ISSN: 0026-9255
Source: Self-asserted source
Piotr Biler
grade
Preferred source (of 2)‎

Global radial solutions in classical Keller–Segel model of chemotaxis

Journal of Differential Equations
2019 | Journal article
DOI: 10.1016/j.jde.2019.06.024
Part of ISSN: 0022-0396
Source: Self-asserted source
Piotr Biler
grade
Preferred source (of 2)‎

Blowup versus global in time existence of solutions for nonlinear heat equations

Topological Methods in Nonlinear Analysis
2018 | Journal article
DOI: 10.12775/TMNA.2018.013
Part of ISSN: 1230-3429
Source: Self-asserted source
Piotr Biler

Large global-in-time solutions to a nonlocal model of chemotaxis

Advances in Mathematics
2018 | Journal article
DOI: 10.1016/j.aim.2018.03.036
Part of ISSN: 0001-8708
Source: Self-asserted source
Piotr Biler
grade
Preferred source (of 2)‎

Mathematical challenges in the theory of chemotaxis

Annales Mathematicae Silesianae
2018 | Journal article
DOI: 10.2478/amsil-2018-0004
Part of ISSN: 0860-2107
Source: Self-asserted source
Piotr Biler

Dariusz Wrzosek - laureat Nagrody Głównej PTM im. Hugona Steinhausa za 2016 rok

Annales Societatis Mathematicae Polonae. Series II. Wiadomości Matematyczne
2017 | Journal article
Part of ISSN: 2080-5519
Source: Self-asserted source
Piotr Biler

Local criteria for blowup in two-dimensional chemotaxis models

Discrete and Continuous Dynamical Systems
2017 | Journal article
DOI: 10.3934/dcds.2017077
Part of ISSN: 1078-0947
Source: Self-asserted source
Piotr Biler
grade
Preferred source (of 2)‎

Matematyczni nobliści we Wrocławiu

Wszystko Co Najważniejsze
2017 | Journal article
Part of ISSN: 2449-7991
Source: Self-asserted source
Piotr Biler

Problems in mathematical analysis

Problems in Mathematical Analysis
2017 | Book
DOI: 10.1201/9780203741979
EID:

2-s2.0-85053087943
Contributors: Biler, P.; Witkowski, A.
Source: Self-asserted source
Piotr Biler via Scopus - Elsevier

Morrey spaces norms and criteria for blowup in chemotaxis models

Networks and Heterogeneous Media
2016 | Journal article
DOI: 10.3934/nhm.2016.11.239
EID:

2-s2.0-84962166013
Contributors: Biler, P.; Karch, G.; Zienkiewicz, J.
Source: Self-asserted source
Piotr Biler via Scopus - Elsevier

Large global-in-time solutions of the parabolic-parabolic Keller-Segel system on the plane

Communications on Pure and Applied Analysis
2015 | Journal article
DOI: 10.3934/cpaa.2015.14.2117
EID:

2-s2.0-84944088986
Contributors: Biler, P.; Guerra, I.; Karch, G.
Source: Self-asserted source
Piotr Biler via Scopus - Elsevier

Lwów of the west

The Scottish Book: Mathematics from the Scottish Cafe, with Selected Problems from the New Scottish Book, Second Edition
2015 | Book
Part of DOI: 10.1007/978-3-319-22897-6_8
EID:

2-s2.0-84957671571
Contributors: Biler, P.; Krupski, P.; Plebanek, G.; Woyczyński, W.A.
Source: Self-asserted source
Piotr Biler via Scopus - Elsevier

Optimal criteria for blowup of radial and N-symmetric solutions of chemotaxis systems

Nonlinearity
2015 | Journal article
DOI: 10.1088/0951-7715/28/12/4369
EID:

2-s2.0-84948808503
Contributors: Biler, P.; Karch, G.; Zienkiewicz, J.
Source: Self-asserted source
Piotr Biler via Scopus - Elsevier

The Nonlocal Porous Medium Equation: Barenblatt Profiles and Other Weak Solutions

Archive for Rational Mechanics and Analysis
2014 | Journal article
DOI: 10.1007/s00205-014-0786-1
EID:

2-s2.0-85027931807
Contributors: Biler, P.; Imbert, C.; Karch, G.
Source: Self-asserted source
Piotr Biler via Scopus - Elsevier

Blowup in higher dimensional two species chemotactic systems

Communications on Pure and Applied Analysis
2013 | Journal article
DOI: 10.3934/cpaa.2013.12.89
EID:

2-s2.0-84873305458
Contributors: Biler, P.; Espejo, E.E.; Guerra, I.
Source: Self-asserted source
Piotr Biler via Scopus - Elsevier

Blowup and self-similar solutions for two-component drift-diffusion systems

Nonlinear Analysis, Theory, Methods and Applications
2012 | Journal article
DOI: 10.1016/j.na.2012.04.035
EID:

2-s2.0-84862143166
Contributors: Biler, P.; Guerra, I.
Source: Self-asserted source
Piotr Biler via Scopus - Elsevier

An elementary approach to nonexistence of solutions of linear parabolic equations

Colloquium Mathematicum
2011 | Journal article
DOI: 10.4064/cm122-1-11
EID:

2-s2.0-84858779686
Contributors: Biler, P.; Nadzieja, T.
Source: Self-asserted source
Piotr Biler via Scopus - Elsevier

Barenblatt profiles for a nonlocal porous medium equation,Solutions auto-similaires pour une équation des milieux poreux non locale

Comptes Rendus Mathematique
2011 | Journal article
DOI: 10.1016/j.crma.2011.06.003
EID:

2-s2.0-79959521708
Contributors: Biler, P.; Imbert, C.; Karch, G.
Source: Self-asserted source
Piotr Biler via Scopus - Elsevier

Large mass self-similar solutions of the parabolic-parabolic Keller-Segel model of chemotaxis

Journal of Mathematical Biology
2011 | Journal article
DOI: 10.1007/s00285-010-0357-5
EID:

2-s2.0-79958768785
Contributors: Biler, P.; Corrias, L.; Dolbeault, J.
Source: Self-asserted source
Piotr Biler via Scopus - Elsevier

Blowup of solutions to generalized Keller-Segel model

Journal of Evolution Equations
2010 | Journal article
DOI: 10.1007/s00028-009-0048-0
EID:

2-s2.0-77955841087
Contributors: Biler, P.; Karch, G.
Source: Self-asserted source
Piotr Biler via Scopus - Elsevier

Nonexistence of solutions of the heat diffusion problem on a punctured disc

Monatshefte fur Mathematik
2010 | Journal article
DOI: 10.1007/s00605-008-0079-6
EID:

2-s2.0-77950300942
Contributors: Biler, P.; Nadzieja, T.
Source: Self-asserted source
Piotr Biler via Scopus - Elsevier

Blowup of solutions to a diffusive aggregation model

Nonlinearity
2009 | Journal article
DOI: 10.1088/0951-7715/22/7/003
EID:

2-s2.0-67650727361
Contributors: Biler, P.; Karch, G.; Laurençot, P.
Source: Self-asserted source
Piotr Biler via Scopus - Elsevier

Nonlinear diffusion of dislocation density and self-similar solutions

Communications in Mathematical Physics
2009 | Journal article
DOI: 10.1007/s00220-009-0855-8
EID:

2-s2.0-72549089382
Contributors: Biler, P.; Karch, G.; Monneau, R.
Source: Self-asserted source
Piotr Biler via Scopus - Elsevier

On the parabolic-elliptic limit of the doubly parabolic keller-segel system modelling chemotaxis

Studia Mathematica
2009 | Journal article
DOI: 10.4064/sm193-3-2
EID:

2-s2.0-69249193119
Contributors: Biler, P.; Brandolese, L.
Source: Self-asserted source
Piotr Biler via Scopus - Elsevier

Two-dimensional chemotaxis models with fractional diffusion

Mathematical Methods in the Applied Sciences
2009 | Journal article
DOI: 10.1002/mma.1036
EID:

2-s2.0-58449099055
Contributors: Biler, P.; Wu, G.
Source: Self-asserted source
Piotr Biler via Scopus - Elsevier

General nonlocal diffusion-convection mean field models: Nonexistence of global solutions

Physica A: Statistical Mechanics and its Applications
2007 | Journal article
DOI: 10.1016/j.physa.2007.02.083
EID:

2-s2.0-34247507199
Contributors: Biler, P.; Woyczyński, W.
Source: Self-asserted source
Piotr Biler via Scopus - Elsevier

Global existence versus blow up for some models of interacting particles

Colloquium Mathematicum
2006 | Journal article
DOI: 10.4064/cm106-2-9
EID:

2-s2.0-69249168177
Contributors: Biler, P.; Brandolese, L.
Source: Self-asserted source
Piotr Biler via Scopus - Elsevier

The 8π-problem for radially symmetric solutions of a chemotaxis model in the plane

Mathematical Methods in the Applied Sciences
2006 | Journal article
DOI: 10.1002/mma.743
EID:

2-s2.0-33747147890
Contributors: Biler, P.; Karch, G.; Laurençot, P.; Nadzieja, T.
Source: Self-asserted source
Piotr Biler via Scopus - Elsevier

Asymptotic properties of solutions of the viscous Hamilton-Jacobi equation

Journal of Evolution Equations
2004 | Journal article
DOI: 10.1007/s00028-003-0079-x
EID:

2-s2.0-1842854674
Contributors: Biler, P.; Guedda, M.; Karch, G.
Source: Self-asserted source
Piotr Biler via Scopus - Elsevier

Global regular and singular solutions for a model of gravitating particles

Mathematische Annalen
2004 | Journal article
DOI: 10.1007/s00208-004-0565-7
EID:

2-s2.0-11144305807
Contributors: Biler, P.; Cannone, M.; Guerra, I.A.; Karch, G.
Source: Self-asserted source
Piotr Biler via Scopus - Elsevier

On an evolution system describing self-gravitating Fermi-Dirac particles

Advances in Differential Equations
2004 | Journal article
EID:

2-s2.0-18744386614
Contributors: Biler, P.; Laurençot, P.; Nadzieja, T.
Source: Self-asserted source
Piotr Biler via Scopus - Elsevier

Global and exploding solutions in a model of self-gravitating systems

Reports on Mathematical Physics
2003 | Journal article
DOI: 10.1016/S0034-4877(03)90013-9
EID:

2-s2.0-0242425209
Contributors: Biler, P.; Nadzieja, T.
Source: Self-asserted source
Piotr Biler via Scopus - Elsevier

Intermediate Asymptotics in L<sup>1</sup> for General Nonlinear Diffusion Equations

Applied Mathematics Letters
2002 | Journal article
DOI: 10.1016/S0893-9659(01)00100-8
EID:

2-s2.0-31244432367
Contributors: Biler, P.; Dolbeault, J.; Esteban, M.J.
Source: Self-asserted source
Piotr Biler via Scopus - Elsevier

Asymptotics and high dimensional approximations for nonlinear pseudodifferential equations involving levy generators

Demonstratio Mathematica
2001 | Journal article
EID:

2-s2.0-33646645648
Contributors: Biler, P.; Karch, G.; Woyczynski, W.A.
Source: Self-asserted source
Piotr Biler via Scopus - Elsevier

Asymptotics for conservation laws involving Lévy diffusion generators

Studia Mathematica
2001 | Journal article
DOI: 10.4064/sm148-2-5
EID:

2-s2.0-0035664594
Contributors: Biler, P.; Karch, G.; Woyczyński, W.A.
Source: Self-asserted source
Piotr Biler via Scopus - Elsevier

Critical nonlinearity exponent and self-similar asymptotics for Lévy conservation laws

Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
2001 | Journal article
DOI: 10.1016/S0294-1449(01)00080-4
EID:

2-s2.0-0012120698
Contributors: Biler, P.; Karch, G.; Woyczyński, W.A.
Source: Self-asserted source
Piotr Biler via Scopus - Elsevier

Large time asymptotics of nonlinear drift-diffusion systems with poisson coupling

Transport Theory and Statistical Physics
2001 | Journal article
DOI: 10.1081/TT-100105936
EID:

2-s2.0-0035636746
Contributors: Biler, P.; Dolbeault, J.; Markowich, P.A.
Source: Self-asserted source
Piotr Biler via Scopus - Elsevier

Stationary solutions, intermediate asymptotics and large-time behaviour of type II streater's models

Advances in Differential Equations
2001 | Journal article
EID:

2-s2.0-0013090731
Contributors: Biler, P.; Karch, G.; Dolbeault, J.; Esteban, M.J.
Source: Self-asserted source
Piotr Biler via Scopus - Elsevier

Long time behavior of solutions to Nernst-Planck and Debye-Hückel drift-diffusion systems

Annales Henri Poincare
2000 | Journal article
DOI: 10.1007/s000230050003
EID:

2-s2.0-0034370899
Contributors: Biler, P.; Dolbeault, J.
Source: Self-asserted source
Piotr Biler via Scopus - Elsevier

Multifractal and Lévy conservation laws,Lois de conservation multifractales et de Lévy

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
2000 | Journal article
DOI: 10.1016/S0764-4442(00)00187-7
EID:

2-s2.0-0034148180
Contributors: Biler, P.; Karch, G.; Woyczyński, W.A.
Source: Self-asserted source
Piotr Biler via Scopus - Elsevier

Asymptotics for multifractal conservation laws

Studia Mathematica
1999 | Journal article
EID:

2-s2.0-0000654161
Contributors: Biler, P.; Karch, G.; Woyczynski, W.A.
Source: Self-asserted source
Piotr Biler via Scopus - Elsevier

A nonlocal singular parabolic problem modelling gravitational interaction of particles

Advances in Differential Equations
1998 | Journal article
EID:

2-s2.0-0009127223
Contributors: Biler, P.; Nadzieja, T.
Source: Self-asserted source
Piotr Biler via Scopus - Elsevier

Fractal Burgers Equations

Journal of Differential Equations
1998 | Journal article
DOI: 10.1006/jdeq.1998.3458
EID:

2-s2.0-0002015456
Contributors: Biler, P.; Funaki, T.; Woyczynski, W.A.
Source: Self-asserted source
Piotr Biler via Scopus - Elsevier

Global and exploding solutions for nonlocal quadratic evolution problems

SIAM Journal on Applied Mathematics
1998 | Journal article
DOI: 10.1137/S0036139996313447
EID:

2-s2.0-0345504868
Contributors: Biler, P.; Woyczyński, W.A.
Source: Self-asserted source
Piotr Biler via Scopus - Elsevier
Items per page:
Page 1 of 2

Peer review (29 reviews for 17 publications/grants)

Review activity for Acta applicandae mathematicae. (2)
Review activity for Applied mathematics & optimization. (1)
Review activity for Applied mathematics letters. (2)
Review activity for Archive for rational mechanics and analysis. (1)
Review activity for Calculus of variations and partial differential equations. (2)
Review activity for Chaos, solitons and fractals. (1)
Review activity for Communications in Mathematical Physics. (1)
Review activity for Journal of elliptic and parabolic equations : (2)
Review activity for Journal of evolution equations : (3)
Review activity for Journal of mathematical analysis and applications. (3)
Review activity for Journal of mathematical fluid mechanics : (1)
Review activity for Journal of mathematical physics. (1)
Review activity for Mathematische Annalen. (2)
Review activity for Nonlinear analysis. (1)
Review activity for Nonlinear differential equations and applications : (1)
Review activity for SIAM journal on mathematical analysis. (4)
Review activity for The Journal of geometric analysis. (1)
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