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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 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

Publications by Year

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 0814.35054
Biler, Piotr; Hebisch, Waldemar; Nadzieja, Tadeusz
134
1994
Local and global solvability of some parabolic systems modelling chemotaxis. Zbl 0913.35021
Biler, Piotr
133
1998
Global solutions to some parabolic-elliptic systems of chemotaxis. Zbl 0941.35009
Biler, Piotr
88
1999
Long time behavior of solutions of Nernst-Planck and Debye-Hückel drift-diffusion systems. Zbl 0976.82046
Biler, Piotr; Dolbeault, Jean
86
2000
Fractal Burgers equations. Zbl 0911.35100
Biler, Piotr; Funaki, Tadahisa; Woyczynski, Wojbor A.
84
1998
Existence and nonexistence of solutions for a model of gravitational interaction of particles. I. Zbl 0817.35041
Biler, Piotr; Nadzieja, Tadeusz
60
1994
Critical nonlinearity exponent and self-similar asymptotics for Lévy conservation laws. Zbl 0991.35009
Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A.
59
2001
Blowup of solutions to generalized Keller-Segel model. Zbl 1239.35177
Biler, Piotr; Karch, Grzegorz
58
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
53
2006
Nonlinear diffusion of dislocation density and self-similar solutions. Zbl 1207.82049
Biler, Piotr; Karch, Grzegorz; Monneau, Régis
49
2010
Global and exploding solutions for nonlocal quadratic evolution problems. Zbl 0940.35035
Biler, Piotr; Woyczynski, Wojbor A.
47
1999
Existence and nonexistence of solutions for a model of gravitational interaction of particles. III. Zbl 0836.35076
Biler, Piotr
45
1995
The nonlocal porous medium equation: Barenblatt profiles and other weak solutions. Zbl 1308.35197
Biler, Piotr; Imbert, Cyril; Karch, Grzegorz
45
2015
Attractors for the system of Schrödinger and Klein-Gordon equations with Yukawa coupling. Zbl 0725.35020
Biler, Piotr
40
1990
Blowup in higher dimensional two species chemotactic systems. Zbl 1278.35250
Biler, Piotr; Espejo, Elio E.; Guerra, Ignacio
38
2013
Two-dimensional chemotaxis models with fractional diffusion. Zbl 1163.35490
Biler, Piotr; Wu, Gang
37
2009
The Cauchy problem and self-similar solutions for a nonlinear parabolic equation. Zbl 0829.35044
Biler, Piotr
36
1995
Existence and nonexistence of solutions for a model of gravitational interaction of particles. II. Zbl 0832.35015
Biler, Piotr; Hilhorst, Danielle; Nadzieja, Tadeusz
36
1994
Remark on the decay for damped string and beam equations. Zbl 0611.35057
Biler, Piotr
36
1986
Large mass self-similar solutions of the parabolic-parabolic Keller-Segel model of chemotaxis. Zbl 1230.92011
Biler, Piotr; Corrias, Lucilla; Dolbeault, Jean
33
2011
Barenblatt profiles for a nonlocal porous medium equation. Zbl 1221.35209
Biler, Piotr; Imbert, Cyril; Karch, Grzegorz
32
2011
Global regular and singular solutions for a model of gravitating particles. Zbl 1078.35097
Biler, Piotr; Cannone, Marco; Guerra, Ignacio A.; Karch, Grzegorz
31
2004
Asymptotics for conservation laws involving Lévy diffusion generators. Zbl 0990.35023
Biler, 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 0781.35025
Biler, Piotr
26
1992
Long time behavior of solutions of the generalized Benjamin-Bona-Mahony equation in two space dimensions. Zbl 0759.35012
Biler, Piotr
24
1992
Asymptotic properties of solutions of the viscous Hamilton-Jacobi equation. Zbl 1056.35024
Biler, Piotr; Guedda, Mohammed; Karch, Grzegorz
23
2004
Local criteria for blowup in two-dimensional chemotaxis models. Zbl 1360.35290
Biler, Piotr; Cieślak, Tomasz; Karch, Grzegorz; Zienkiewicz, Jacek
22
2017
Asymptotics for multifractal conservation laws. Zbl 0931.35015
Biler, 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 1331.01039
Mauldin, R. Daniel
20
2015
Asymptotic behaviour in time of solutions to some equations generalizing the Korteweg-de Vries-Burgers equation. Zbl 0561.35064
Biler, Piotr
19
1984
Large-time behaviour of periodic solutions to dissipative equations of Korteweg-de Vries-Burgers type. Zbl 0561.35065
Biler, Piotr
19
1984
A class of nonlocal parabolic problems occurring in statistical mechanics. Zbl 0818.35046
Biler, Piotr; Nadzieja, Tadeusz
18
1993
Nonisothermal systems of self-attracting Fermi-Dirac particles. Zbl 1146.35415
Biler, Piotr; Nadzieja, Tadeusz; Stańczy, Robert
17
2004
Multifractal and Lévy conservation laws. Zbl 0945.35015
Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A.
17
2000
Optimal criteria for blowup of radial and \(N\)-symmetric solutions of chemotaxis systems. Zbl 1329.35316
Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek
17
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
16
2006
Growth and accretion of mass in an astrophysical model. Zbl 0838.35105
Biler, P.
14
1995
Interacting particle approximation for nonlocal quadratic evolution problems. Zbl 0985.60091
Biler, Piotr; Funaki, Tadahisa; Woyczynski, Wojbor A.
14
1999
Blowup and self-similar solutions for two-component drift-diffusion systems. Zbl 1251.35171
Biler, Piotr; Guerra, Ignacio
14
2012
On the parabolic-elliptic limit of the doubly parabolic Keller–Segel system modelling chemotaxis. Zbl 1167.35316
Biler, Piotr; Brandolese, Lorenzo
14
2009
A nonlocal singular parabolic problem modelling gravitational interaction of particles. Zbl 0952.35008
Biler, Piotr; Nadzieja, Tadeusz
13
1998
Radially symmetric solutions of a chemotaxis model in the plane – the supercritical case. Zbl 1153.35395
Biler, Piotr
13
2008
Blowup of solutions to a diffusive aggregation model. Zbl 1177.35188
Biler, Piotr; Karch, Grzegorz; Laurençot, Philippe
13
2009
Global and exploding solutions in a model of self-gravitating systems. Zbl 1043.85001
Biler, Piotr; Nadzieja, Tadeusz
12
2003
Large global-in-time solutions to a nonlocal model of chemotaxis. Zbl 1398.35248
Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek
12
2018
Self-interaction of Brownian particles coupled with thermodynamic processes. Zbl 1010.82028
Biler, Piotr; Krzywicki, Andrzej; Nadzieja, Tadeusz
12
1998
Existence of solutions for the Keller-Segel model of chemotaxis with measures as initial data. Zbl 1326.35399
Biler, Piotr; Zienkiewicz, Jacek
10
2015
Nonlocal parabolic problems in statistical mechanics. Zbl 0892.35073
Biler, Piotr; Nadzieja, Tadeusz
10
1997
Large global-in-time solutions of the parabolic-parabolic Keller-Segel system on the plane. Zbl 1326.35398
Biler, Piotr; Guerra, Ignacio; Karch, Grzegorz
10
2015
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
Problems in mathematical analysis. Zbl 0697.00003
Biler, Piotr; Witkowski, Alfred
8
1990
Large time asymptotics of nonlinear drift-diffusion systems with Poisson coupling. Zbl 0988.35134
Biler, Piotr; Dolbeault, Jean; Markowich, Peter A.
8
2001
Generalized Fokker–Planck equations and convergence to their equilibria. Zbl 1024.35013
Biler, Piotr; Karch, Grzegorz
6
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
Morrey spaces norms and criteria for blowup in chemotaxis models. Zbl 1333.35299
Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek
6
2016
Regular decay of solutions of strongly damped nonlinear hyperbolic equations. Zbl 0666.34072
Biler, Piotr
6
1989
Mathematical challenges in the theory of chemotaxis. Zbl 1403.35300
Biler, Piotr
5
2018
Blowing up radial solutions in the minimal Keller-Segel model of chemotaxis. Zbl 1417.35208
Biler, Piotr; Zienkiewicz, Jacek
5
2019
Nonlocal quadratic evolution problems. Zbl 0953.35070
Biler, Piotr; Woyczyński, Wojbor A.
5
2000
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
Singularities of solutions to chemotaxis systems. Zbl 1450.35001
Biler, Piotr
4
2020
Growth and accretion of mass in an astrophysical model. II. Zbl 0845.35011
Biler, P.; Nadzieja, T.
4
1995
A note on the paper of Y. Naito: “Asymptotically self-similar solutions for the parabolic system modelling chemotaxis”. Zbl 1116.35054
Biler, Piotr
4
2006
Nonlinear diffusion models for self-gravitating particles. Zbl 1113.35328
Biler, Piotr; Stańczy, Robert
4
2007
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
Exponential decay of solutions of damped nonlinear hyperbolic equations. Zbl 0656.35091
Biler, Piotr
4
1987
Global radial solutions in classical Keller-Segel model of chemotaxis. Zbl 1428.35616
Biler, Piotr; Karch, Grzegorz; Pilarczyk, Dominika
3
2019
Intermediate asymptotics in \(L^{1}\) for general nonlinear diffusion equations. Zbl 1011.35019
Biler, P.; Dolbeault, J.; Esteban, M. J.
3
2002
Asymptotic stability of Navier-Stokes flow past an obstacle. Zbl 1161.35459
Biler, Piotr; Cannone, Marco; Karch, Grzegorz
2
2004
Around a singular solution of a nonlocal nonlinear heat equation. Zbl 1407.35105
Biler, Piotr; Pilarczyk, Dominika
2
2019
A Neumann problem for a convection-diffusion equation on the half-line. Zbl 1003.35065
Biler, Piotr; Karch, Grzegorz
2
2000
Problems and examples in differential equations. Zbl 0760.34001
Biler, Piotr; Nadzieja, Tadeusz
2
1992
Stochastic interpretation of potential scattering in quantum mechanics. Zbl 0534.60052
Biler, P.
2
1984
Steady states and long time asymptotics of solutions of Streater’s models. Zbl 1046.82020
Biler, Piotr
1
2001
Blowup versus global in time existence of solutions for nonlinear heat equations. Zbl 1408.35072
Biler, Piotr
1
2018
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
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
Concentration phenomena in a diffusive aggregation model. Zbl 1455.35264
Biler, Piotr; Boritchev, Alexandre; Karch, Grzegorz; Laurençot, Philippe
1
2021
Mean field models for self-gravitating particles. Zbl 1181.35290
Biler, Piotr; Stańczy, Robert
1
2006
On the stationary solutions of Burgers’ equation. Zbl 0635.35008
Biler, Piotr
1
1987
Asymptotic behaviour in time of solutions to some equations generalizing the Korteweg-de Vries-Burgers equation. Zbl 0581.35071
Biler, Piotr
1
1985
Concentration phenomena in a diffusive aggregation model. Zbl 1455.35264
Biler, Piotr; Boritchev, Alexandre; Karch, Grzegorz; Laurençot, Philippe
1
2021
Singularities of solutions to chemotaxis systems. Zbl 1450.35001
Biler, Piotr
4
2020
Blowing up radial solutions in the minimal Keller-Segel model of chemotaxis. Zbl 1417.35208
Biler, Piotr; Zienkiewicz, Jacek
5
2019
Global radial solutions in classical Keller-Segel model of chemotaxis. Zbl 1428.35616
Biler, Piotr; Karch, Grzegorz; Pilarczyk, Dominika
3
2019
Around a singular solution of a nonlocal nonlinear heat equation. Zbl 1407.35105
Biler, Piotr; Pilarczyk, Dominika
2
2019
Large global-in-time solutions to a nonlocal model of chemotaxis. Zbl 1398.35248
Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek
12
2018
Mathematical challenges in the theory of chemotaxis. Zbl 1403.35300
Biler, Piotr
5
2018
Blowup versus global in time existence of solutions for nonlinear heat equations. Zbl 1408.35072
Biler, Piotr
1
2018
Local criteria for blowup in two-dimensional chemotaxis models. Zbl 1360.35290
Biler, Piotr; Cieślak, Tomasz; Karch, Grzegorz; Zienkiewicz, Jacek
22
2017
Morrey spaces norms and criteria for blowup in chemotaxis models. Zbl 1333.35299
Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek
6
2016
The nonlocal porous medium equation: Barenblatt profiles and other weak solutions. Zbl 1308.35197
Biler, 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 1331.01039
Mauldin, R. Daniel
20
2015
Optimal criteria for blowup of radial and \(N\)-symmetric solutions of chemotaxis systems. Zbl 1329.35316
Biler, Piotr; Karch, Grzegorz; Zienkiewicz, Jacek
17
2015
Existence of solutions for the Keller-Segel model of chemotaxis with measures as initial data. Zbl 1326.35399
Biler, Piotr; Zienkiewicz, Jacek
10
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
10
2015
Blowup in higher dimensional two species chemotactic systems. Zbl 1278.35250
Biler, Piotr; Espejo, Elio E.; Guerra, Ignacio
38
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
33
2011
Barenblatt profiles for a nonlocal porous medium equation. Zbl 1221.35209
Biler, Piotr; Imbert, Cyril; Karch, Grzegorz
32
2011
Blowup of solutions to generalized Keller-Segel model. Zbl 1239.35177
Biler, Piotr; Karch, Grzegorz
58
2010
Nonlinear diffusion of dislocation density and self-similar solutions. Zbl 1207.82049
Biler, Piotr; Karch, Grzegorz; Monneau, Régis
49
2010
Two-dimensional chemotaxis models with fractional diffusion. Zbl 1163.35490
Biler, Piotr; Wu, Gang
37
2009
On the parabolic-elliptic limit of the doubly parabolic Keller–Segel system modelling chemotaxis. Zbl 1167.35316
Biler, Piotr; Brandolese, Lorenzo
14
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
13
2008
Nonlinear diffusion models for self-gravitating particles. Zbl 1113.35328
Biler, Piotr; Stańczy, Robert
4
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
53
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
16
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
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
31
2004
Asymptotic properties of solutions of the viscous Hamilton-Jacobi equation. Zbl 1056.35024
Biler, Piotr; Guedda, Mohammed; Karch, Grzegorz
23
2004
Nonisothermal systems of self-attracting Fermi-Dirac particles. Zbl 1146.35415
Biler, Piotr; Nadzieja, Tadeusz; Stańczy, Robert
17
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
12
2003
Generalized Fokker–Planck equations and convergence to their equilibria. Zbl 1024.35013
Biler, Piotr; Karch, Grzegorz
6
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.
59
2001
Asymptotics for conservation laws involving Lévy diffusion generators. Zbl 0990.35023
Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A.
28
2001
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 and long time asymptotics of solutions of Streater’s models. Zbl 1046.82020
Biler, Piotr
1
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
Long time behavior of solutions of Nernst-Planck and Debye-Hückel drift-diffusion systems. Zbl 0976.82046
Biler, Piotr; Dolbeault, Jean
86
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.
5
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
88
1999
Global and exploding solutions for nonlocal quadratic evolution problems. Zbl 0940.35035
Biler, Piotr; Woyczynski, Wojbor A.
47
1999
Asymptotics for multifractal conservation laws. Zbl 0931.35015
Biler, Piotr; Karch, Grzegorz; Woyczynski, Wojbor A.
22
1999
Interacting particle approximation for nonlocal quadratic evolution problems. Zbl 0985.60091
Biler, Piotr; Funaki, Tadahisa; Woyczynski, Wojbor A.
14
1999
Local and global solvability of some parabolic systems modelling chemotaxis. Zbl 0913.35021
Biler, Piotr
133
1998
Fractal Burgers equations. Zbl 0911.35100
Biler, Piotr; Funaki, Tadahisa; Woyczynski, Wojbor A.
84
1998
A nonlocal singular parabolic problem modelling gravitational interaction of particles. Zbl 0952.35008
Biler, Piotr; Nadzieja, Tadeusz
13
1998
Self-interaction of Brownian particles coupled with thermodynamic processes. Zbl 1010.82028
Biler, Piotr; Krzywicki, Andrzej; Nadzieja, Tadeusz
12
1998
Nonlocal parabolic problems in statistical mechanics. Zbl 0892.35073
Biler, Piotr; Nadzieja, Tadeusz
10
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
45
1995
The Cauchy problem and self-similar solutions for a nonlinear parabolic equation. Zbl 0829.35044
Biler, Piotr
36
1995
Growth and accretion of mass in an astrophysical model. Zbl 0838.35105
Biler, P.
14
1995
Growth and accretion of mass in an astrophysical model. II. Zbl 0845.35011
Biler, P.; Nadzieja, T.
4
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
134
1994
Existence and nonexistence of solutions for a model of gravitational interaction of particles. I. Zbl 0817.35041
Biler, Piotr; Nadzieja, Tadeusz
60
1994
Existence and nonexistence of solutions for a model of gravitational interaction of particles. II. Zbl 0832.35015
Biler, Piotr; Hilhorst, Danielle; Nadzieja, Tadeusz
36
1994
A class of nonlocal parabolic problems occurring in statistical mechanics. Zbl 0818.35046
Biler, Piotr; Nadzieja, Tadeusz
18
1993
Existence and asymptotics of solutions for a parabolic-elliptic system with nonlinear no-flux boundary conditions. Zbl 0781.35025
Biler, Piotr
26
1992
Long time behavior of solutions of the generalized Benjamin-Bona-Mahony equation in two space dimensions. Zbl 0759.35012
Biler, Piotr
24
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
40
1990
Problems in mathematical analysis. Zbl 0697.00003
Biler, Piotr; Witkowski, Alfred
8
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
36
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
19
1984
Large-time behaviour of periodic solutions to dissipative equations of Korteweg-de Vries-Burgers type. Zbl 0561.35065
Biler, Piotr
19
1984
Stochastic interpretation of potential scattering in quantum mechanics. Zbl 0534.60052
Biler, P.
2
1984
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

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