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Author ID: biler.piotr Recent zbMATH articles by "Biler, Piotr"
Published as: Biler, Piotr; Biler, P.; Biler, B.
Homepage: http://www.math.uni.wroc.pl/~biler/
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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

Publications by Year

Citations contained in zbMATH Open

91 Publications have been cited 2,169 times in 1,227 Documents Cited by Year
Local and global solvability of some parabolic systems modelling chemotaxis. Zbl 0913.35021
Biler, Piotr
159
1998
The Debye system: Existence and large time behavior of solutions. Zbl 0814.35054
Biler, Piotr; Hebisch, Waldemar; Nadzieja, Tadeusz
153
1994
Global solutions to some parabolic-elliptic systems of chemotaxis. Zbl 0941.35009
Biler, Piotr
110
1999
Fractal Burgers equations. Zbl 0911.35100
Biler, Piotr; Funaki, Tadahisa; Woyczynski, Wojbor A.
100
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.
71
2001
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
70
2006
Existence and nonexistence of solutions for a model of gravitational interaction of particles. I. Zbl 0817.35041
Biler, Piotr; Nadzieja, Tadeusz
69
1994
Blowup of solutions to generalized Keller-Segel model. Zbl 1239.35177
Biler, Piotr; Karch, Grzegorz
65
2010
Nonlinear diffusion of dislocation density and self-similar solutions. Zbl 1207.82049
Biler, Piotr; Karch, Grzegorz; Monneau, Régis
57
2010
The nonlocal porous medium equation: Barenblatt profiles and other weak solutions. Zbl 1308.35197
Biler, Piotr; Imbert, Cyril; Karch, Grzegorz
52
2015
Existence and nonexistence of solutions for a model of gravitational interaction of particles. III. Zbl 0836.35076
Biler, Piotr
51
1995
Global and exploding solutions for nonlocal quadratic evolution problems. Zbl 0940.35035
Biler, Piotr; Woyczynski, Wojbor A.
50
1999
The Cauchy problem and self-similar solutions for a nonlinear parabolic equation. Zbl 0829.35044
Biler, Piotr
46
1995
Attractors for the system of Schrödinger and Klein-Gordon equations with Yukawa coupling. Zbl 0725.35020
Biler, Piotr
46
1990
Two-dimensional chemotaxis models with fractional diffusion. Zbl 1163.35490
Biler, Piotr; Wu, Gang
44
2009
Blowup in higher dimensional two species chemotactic systems. Zbl 1278.35250
Biler, Piotr; Espejo, Elio E.; Guerra, Ignacio
43
2013
Existence and nonexistence of solutions for a model of gravitational interaction of particles. II. Zbl 0832.35015
Biler, Piotr; Hilhorst, Danielle; Nadzieja, Tadeusz
42
1994
Large mass self-similar solutions of the parabolic-parabolic Keller-Segel model of chemotaxis. Zbl 1230.92011
Biler, Piotr; Corrias, Lucilla; Dolbeault, Jean
41
2011
Remark on the decay for damped string and beam equations. Zbl 0611.35057
Biler, Piotr
40
1986
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
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
39
2015
Barenblatt profiles for a nonlocal porous medium equation. Zbl 1221.35209
Biler, Piotr; Imbert, Cyril; Karch, Grzegorz
36
2011
Asymptotics for conservation laws involving Lévy diffusion generators. Zbl 0990.35023
Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A.
35
2001
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
26
1992
Asymptotic properties of solutions of the viscous Hamilton-Jacobi equation. Zbl 1056.35024
Biler, Piotr; Guedda, Mohammed; Karch, Grzegorz
26
2004
Asymptotics for multifractal conservation laws. Zbl 0931.35015
Biler, Piotr; Karch, Grzegorz; Woyczynski, Wojbor A.
25
1999
Local criteria for blowup in two-dimensional chemotaxis models. Zbl 1360.35290
Biler, Piotr; Cieślak, Tomasz; Karch, Grzegorz; Zienkiewicz, Jacek
25
2017
Asymptotic behaviour in time of solutions to some equations generalizing the Korteweg-de Vries-Burgers equation. Zbl 0561.35064
Biler, Piotr
22
1984
A class of nonlocal parabolic problems occurring in statistical mechanics. Zbl 0818.35046
Biler, Piotr; Nadzieja, Tadeusz
21
1993
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
Nonisothermal systems of self-attracting Fermi-Dirac particles. Zbl 1146.35415
Biler, Piotr; Nadzieja, Tadeusz; Stańczy, Robert
20
2004
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
19
2006
Optimal criteria for blowup of radial and \(N\)-symmetric solutions of chemotaxis systems. Zbl 1329.35316
Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek
19
2015
Multifractal and Lévy conservation laws. Zbl 0945.35015
Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A.
18
2000
Blowup and self-similar solutions for two-component drift-diffusion systems. Zbl 1251.35171
Biler, Piotr; Guerra, Ignacio
16
2012
Radially symmetric solutions of a chemotaxis model in the plane – the supercritical case. Zbl 1153.35395
Biler, Piotr
16
2008
Large global-in-time solutions to a nonlocal model of chemotaxis. Zbl 1398.35248
Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek
16
2018
Interacting particle approximation for nonlocal quadratic evolution problems. Zbl 0985.60091
Biler, Piotr; Funaki, Tadahisa; Woyczynski, Wojbor A.
16
1999
A nonlocal singular parabolic problem modelling gravitational interaction of particles. Zbl 0952.35008
Biler, Piotr; Nadzieja, Tadeusz
15
1998
Growth and accretion of mass in an astrophysical model. Zbl 0838.35105
Biler, P.
15
1995
Singularities of solutions to chemotaxis systems. Zbl 1450.35001
Biler, Piotr
14
2020
Blowup of solutions to a diffusive aggregation model. Zbl 1177.35188
Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe
14
2009
Self-interaction of Brownian particles coupled with thermodynamic processes. Zbl 1010.82028
Biler, Piotr; Krzywicki, Andrzej; Nadzieja, Tadeusz
14
1998
Global and exploding solutions in a model of self-gravitating systems. Zbl 1043.85001
Biler, Piotr; Nadzieja, Tadeusz
14
2003
Global radial solutions in classical Keller-Segel model of chemotaxis. Zbl 1428.35616
Biler, Piotr; Karch, Grzegorz; Pilarczyk, Dominika
13
2019
Existence of solutions for the Keller-Segel model of chemotaxis with measures as initial data. Zbl 1326.35399
Biler, Piotr; Zienkiewicz, Jacek
13
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
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
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
9
2004
Nonlocal quadratic evolution problems. Zbl 0953.35070
Biler, Piotr; Woyczyński, Wojbor A.
9
2000
Time decay of solutions of semilinear strongly damped generalized wave equations. Zbl 0753.35011
Biler, Piotr
8
1991
Large time asymptotics of nonlinear drift-diffusion systems with Poisson coupling. Zbl 0988.35134
Biler, Piotr; Dolbeault, Jean; Markowich, Peter A.
8
2001
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
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
Growth and accretion of mass in an astrophysical model. II. Zbl 0845.35011
Biler, P.; Nadzieja, T.
6
1995
A singular problem in electrolytes theory. Zbl 0885.35051
Biler, Piotr; Nadzieja, Tadeusz
6
1997
Mathematical challenges in the theory of chemotaxis. Zbl 1403.35300
Biler, Piotr
6
2018
Regular decay of solutions of strongly damped nonlinear hyperbolic equations. Zbl 0666.34072
Biler, Piotr
6
1989
On an evolution system describing self-gravitating Fermi-Dirac particles. Zbl 1103.35086
Biler, Piotr; Laurençot, Philippe; Nadzieja, Tadeusz
6
2004
Local and global solutions of a nonlinear nonlocal parabolic problem. Zbl 0877.35054
Biler, Piotr
5
1995
Nonlinear diffusion models for self-gravitating particles. Zbl 1113.35328
Biler, Piotr; Stańczy, Robert
5
2007
Structure of steady states for Streater’s energy-transport models of gravitating particles. Zbl 1008.35052
Biler, Piotr; Nadzieja, Tadeusz
5
2002
Exponential decay of solutions of damped nonlinear hyperbolic equations. Zbl 0656.35091
Biler, Piotr
4
1987
Around a singular solution of a nonlocal nonlinear heat equation. Zbl 1407.35105
Biler, Piotr; Pilarczyk, Dominika
4
2019
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
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
A Neumann problem for a convection-diffusion equation on the half-line. Zbl 1003.35065
Biler, Piotr; Karch, Grzegorz
2
2000
Stochastic interpretation of potential scattering in quantum mechanics. Zbl 0534.60052
Biler, P.
2
1984
Problems and examples in differential equations. Zbl 0760.34001
Biler, Piotr; Nadzieja, Tadeusz
2
1992
Self-similar solutions of nonlinear PDE. Selected papers of the conference, Bȩdlewo, Poland, September 5–9, 2005. Zbl 1104.35004
2
2006
Blowup of solutions for nonlinear nonlocal heat equations. Zbl 1418.35221
Biler, Piotr
2
2019
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.
2
2001
Asymptotic stability of Navier-Stokes flow past an obstacle. Zbl 1161.35459
Biler, Piotr; Cannone, Marco; Karch, Grzegorz
2
2004
Concentration phenomena in a diffusive aggregation model. Zbl 1455.35264
Biler, Piotr; Boritchev, Alexandre; Karch, Grzegorz; Laurençot, Philippe
2
2021
Asymptotic behaviour in time of solutions to some equations generalizing the Korteweg-de Vries-Burgers equation. Zbl 0581.35071
Biler, Piotr
1
1985
Asymptotics and high dimensional approximations for nonlinear pseudodifferential equations involving Lévy generators. Zbl 0986.35148
Biler, P.; Karch, G.; Woyczyński, W. A.
1
2001
On the stationary solutions of Burgers’ equation. Zbl 0635.35008
Biler, Piotr
1
1987
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
Entropy methods and intermediate asymptotics for nonlinear drift-diffusion systems. Zbl 1091.35504
Biler, Piotr
1
2002
Global existence versus blow up for some models of interacting particles. Zbl 1116.35015
Biler, Piotr; Brandolese, Lorenzo
1
2006
Steady states and long time asymptotics of solutions of Streater’s models. Zbl 1046.82020
Biler, Piotr
1
2001
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
14
2020
Global radial solutions in classical Keller-Segel model of chemotaxis. Zbl 1428.35616
Biler, Piotr; Karch, Grzegorz; Pilarczyk, Dominika
13
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
16
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
52
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
39
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
Existence of solutions for the Keller-Segel model of chemotaxis with measures as initial data. Zbl 1326.35399
Biler, Piotr; Zienkiewicz, Jacek
13
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
Blowup in higher dimensional two species chemotactic systems. Zbl 1278.35250
Biler, Piotr; Espejo, Elio E.; Guerra, Ignacio
43
2013
Blowup and self-similar solutions for two-component drift-diffusion systems. Zbl 1251.35171
Biler, Piotr; Guerra, Ignacio
16
2012
Large mass self-similar solutions of the parabolic-parabolic Keller-Segel model of chemotaxis. Zbl 1230.92011
Biler, Piotr; Corrias, Lucilla; Dolbeault, Jean
41
2011
Barenblatt profiles for a nonlocal porous medium equation. Zbl 1221.35209
Biler, Piotr; Imbert, Cyril; Karch, Grzegorz
36
2011
Blowup of solutions to generalized Keller-Segel model. Zbl 1239.35177
Biler, Piotr; Karch, Grzegorz
65
2010
Nonlinear diffusion of dislocation density and self-similar solutions. Zbl 1207.82049
Biler, Piotr; Karch, Grzegorz; Monneau, Régis
57
2010
Two-dimensional chemotaxis models with fractional diffusion. Zbl 1163.35490
Biler, Piotr; Wu, Gang
44
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
14
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
70
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
19
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
Mean field models for self-gravitating particles. Zbl 1181.35290
Biler, Piotr; Stańczy, Robert
1
2006
Global existence versus blow up for some models of interacting particles. Zbl 1116.35015
Biler, Piotr; Brandolese, Lorenzo
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
20
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
9
2004
On an evolution system describing self-gravitating Fermi-Dirac particles. Zbl 1103.35086
Biler, Piotr; Laurençot, Philippe; Nadzieja, Tadeusz
6
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
14
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
5
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.
71
2001
Asymptotics for conservation laws involving Lévy diffusion generators. Zbl 0990.35023
Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A.
35
2001
Large time asymptotics of nonlinear drift-diffusion systems with Poisson coupling. Zbl 0988.35134
Biler, Piotr; Dolbeault, Jean; Markowich, Peter A.
8
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.
2
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
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.
18
2000
Nonlocal quadratic evolution problems. Zbl 0953.35070
Biler, Piotr; Woyczyński, Wojbor A.
9
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
110
1999
Global and exploding solutions for nonlocal quadratic evolution problems. Zbl 0940.35035
Biler, Piotr; Woyczynski, Wojbor A.
50
1999
Asymptotics for multifractal conservation laws. Zbl 0931.35015
Biler, Piotr; Karch, Grzegorz; Woyczynski, Wojbor A.
25
1999
Interacting particle approximation for nonlocal quadratic evolution problems. Zbl 0985.60091
Biler, Piotr; Funaki, Tadahisa; Woyczynski, Wojbor A.
16
1999
Local and global solvability of some parabolic systems modelling chemotaxis. Zbl 0913.35021
Biler, Piotr
159
1998
Fractal Burgers equations. Zbl 0911.35100
Biler, Piotr; Funaki, Tadahisa; Woyczynski, Wojbor A.
100
1998
A nonlocal singular parabolic problem modelling gravitational interaction of particles. Zbl 0952.35008
Biler, Piotr; Nadzieja, Tadeusz
15
1998
Self-interaction of Brownian particles coupled with thermodynamic processes. Zbl 1010.82028
Biler, Piotr; Krzywicki, Andrzej; Nadzieja, Tadeusz
14
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
6
1997
Existence and nonexistence of solutions for a model of gravitational interaction of particles. III. Zbl 0836.35076
Biler, Piotr
51
1995
The Cauchy problem and self-similar solutions for a nonlinear parabolic equation. Zbl 0829.35044
Biler, Piotr
46
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
5
1995
The Debye system: Existence and large time behavior of solutions. Zbl 0814.35054
Biler, Piotr; Hebisch, Waldemar; Nadzieja, Tadeusz
153
1994
Existence and nonexistence of solutions for a model of gravitational interaction of particles. I. Zbl 0817.35041
Biler, Piotr; Nadzieja, Tadeusz
69
1994
Existence and nonexistence of solutions for a model of gravitational interaction of particles. II. Zbl 0832.35015
Biler, Piotr; Hilhorst, Danielle; Nadzieja, Tadeusz
42
1994
A class of nonlocal parabolic problems occurring in statistical mechanics. Zbl 0818.35046
Biler, Piotr; Nadzieja, Tadeusz
21
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
26
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
46
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
40
1986
Asymptotic behaviour in time of solutions to some equations generalizing the Korteweg-de Vries-Burgers equation. Zbl 0581.35071
Biler, Piotr
1
1985
Asymptotic behaviour in time of solutions to some equations generalizing the Korteweg-de Vries-Burgers equation. Zbl 0561.35064
Biler, Piotr
22
1984
Large-time behaviour of periodic solutions to dissipative equations of Korteweg-de Vries-Burgers type. Zbl 0561.35065
Biler, Piotr
20
1984
Stochastic interpretation of potential scattering in quantum mechanics. Zbl 0534.60052
Biler, P.
2
1984
all top 5

Cited by 1,315 Authors

60 Winkler, Michael
39 Biler, Piotr
29 Karch, Grzegorz
23 Vazquez, Juan Luis
22 Laurençot, Philippe
19 Lankeit, Johannes
19 Ogawa, Takayoshi
17 Liu, Zuhan
17 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 Mizoguchi, Noriko
11 Nagai, Toshitaka
11 Tao, Youshan
10 Lin, Ke
10 Stańczy, Robert
10 Suzuki, Takashi
10 Wang, Weike
9 Black, Tobias
9 Ferreira, Lucas Catão de Freitas
9 Goodrich, Christopher S.
9 Kaikina, Elena Igorevna
9 Senba, Takasi
9 Sugiyama, Yoshie
9 Woyczynski, Wojbor A.
8 Calvez, Vincent
8 Cieślak, Tomasz
8 Fujie, Kentaro
8 Liu, Chun
8 Negreanu, Mihaela
8 Stinner, Christian
8 Wakui, Hiroshi
8 Wang, Wei
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 Mizukami, Masaaki
7 Nadzieja, Tadeusz
7 Perthame, Benoît
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 Hayashi, Nakao
6 Liu, Ji
6 Liu, Qilin
6 Lu, Shengqi
6 Shi, Qihong
6 Souplet, Philippe
6 Tello, José Ignacio
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 Bors, Dorota
5 Clark, Haroldo Rodrigues
5 Cuevas, Claudio
5 Guo, Boling
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 Shen, Jie
5 Shishmarev, Ilya Andreevich
5 Smaoui, Nejib
5 Stan, Diana
5 Suguro, Takeshi
5 Tan, Zhong
5 Tu, Xinyu
5 van Meurs, Patrick
5 Wang, Bixiang
5 Wu, Jianglun
5 Zhang, Linghai
5 Zhang, Qingshan
5 Zheng, Jiashan
4 Bedrossian, Jacob
...and 1,215 more Authors
all top 5

Cited in 248 Serials

105 Journal of Differential Equations
75 Journal of Mathematical Analysis and Applications
58 Mathematical Methods in the Applied Sciences
57 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
31 Discrete and Continuous Dynamical Systems. Series B
28 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 Acta Applicandae Mathematicae
16 Communications in Partial Differential Equations
16 Calculus of Variations and Partial Differential Equations
15 Computers & Mathematics with Applications
15 Applied Mathematics Letters
14 Journal of Evolution Equations
13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
13 NoDEA. Nonlinear Differential Equations and Applications
12 Applied Mathematics and Computation
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
8 Boundary Value Problems
7 Communications in Mathematical Physics
7 Communications on Pure and Applied Mathematics
7 Journal of the London Mathematical Society. Second Series
7 Mathematische Nachrichten
7 Numerische Mathematik
7 Journal of Scientific Computing
7 Communications in Contemporary Mathematics
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
6 Communications in Nonlinear Science and Numerical Simulation
5 Reports on Mathematical Physics
5 Indiana University Mathematics Journal
5 Chinese Annals of Mathematics. Series B
5 Applied Numerical Mathematics
5 Acta Mathematica Scientia. Series B. (English Edition)
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Journal of Mathematical Biology
4 Journal of Statistical Physics
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 Acta Mathematica Sinica. English Series
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 Journal of Mathematical Fluid Mechanics
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
...and 148 more Serials
all top 5

Cited in 42 Fields

1,131 Partial differential equations (35-XX)
466 Biology and other natural sciences (92-XX)
133 Fluid mechanics (76-XX)
114 Numerical analysis (65-XX)
70 Probability theory and stochastic processes (60-XX)
68 Statistical mechanics, structure of matter (82-XX)
51 Real functions (26-XX)
49 Operator theory (47-XX)
49 Mechanics of deformable solids (74-XX)
39 Ordinary differential equations (34-XX)
39 Optics, electromagnetic theory (78-XX)
37 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)
14 Quantum theory (81-XX)
13 Astronomy and astrophysics (85-XX)
11 Harmonic analysis on Euclidean spaces (42-XX)
9 Combinatorics (05-XX)
9 Systems theory; control (93-XX)
7 Special functions (33-XX)
7 Global analysis, analysis on manifolds (58-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 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 Statistics (62-XX)
1 Computer science (68-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year

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