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1

Instability of turing patterns in reaction-diffusion-ODE systems

Marciniak-Czochra, Anna, Karch, Grzegorz, Suzuki, Kanako

Journal:

Journal of Mathematical Biology

Year:

2017

Language:

english

File:

PDF, 829 KB

english, 2017

2

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

Biler, Piotr, Imbert, Cyril, Karch, Grzegorz

Journal:

Archive for Rational Mechanics and Analysis

Year:

2015

Language:

english

File:

PDF, 371 KB

english, 2015

3

Barenblatt profiles for a nonlocal porous medium equation

Piotr Biler, Cyril Imbert, Grzegorz Karch

Journal:

Comptes Rendus Mathematique

Year:

2011

File:

PDF, 158 KB

2011

4

Unstable patterns in reaction–diffusion model of early carcinogenesis

Marciniak-Czochra, Anna, Karch, Grzegorz, Suzuki, Kanako

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2013

File:

PDF, 475 KB

2013

5

Fractal Hamilton-Jacobi-KPZ Equations

Grzegorz Karch and Wojbor A. Woyczyński

Journal:

Transactions of the American Mathematical Society

Year:

2008

Language:

english

File:

PDF, 1.59 MB

english, 2008

6

Visual Analysis of Inclusion Dynamics in Two-Phase Flow

Karch, Grzegorz, Beck, Fabian, Ertl, Moritz, Meister, Christian, Schulte, Kathrin, Weigand, Bernhard, Ertl, Thomas, Sadlo, Filip

Journal:

IEEE Transactions on Visualization and Computer Graphics

Year:

2017

Language:

english

File:

PDF, 18.25 MB

english, 2017

7

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

Biler, Piotr, Karch, Grzegorz, Zienkiewicz, Jacek

Journal:

Advances in Mathematics

Year:

2018

Language:

english

File:

PDF, 677 KB

english, 2018

8

Fractal Hamilton-Jacobi-KPZ equations

Karch, Grzegorz, Woyczyński, Wojbor A.

Journal:

Transactions of the American Mathematical Society

Year:

2007

Language:

english

File:

PDF, 259 KB

english, 2007

9

Asymptotic Behaviour of Solutions to some Pseudoparabolic Equations

Journal:

Mathematical Methods in the Applied Sciences

Year:

1997

Language:

english

File:

PDF, 336 KB

english, 1997

10

Large-time behaviour of solutions to non-linear wave equations: higher-order asymptotics

Journal:

Mathematical Methods in the Applied Sciences

Year:

1999

Language:

english

File:

PDF, 199 KB

english, 1999

11

Infinite energy solutions to the homogeneous Boltzmann equation

Marco Cannone, Grzegorz Karch

Journal:

Communications on Pure and Applied Mathematics

Year:

2010

Language:

english

File:

PDF, 229 KB

english, 2010

12

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

Piotr Biler, Grzegorz Karch, Philippe Laurençot, Tadeusz Nadzieja

Journal:

Mathematical Methods in the Applied Sciences

Year:

2006

Language:

english

File:

PDF, 180 KB

english, 2006

13

Scaling in Nonlinear Parabolic Equations

Journal:

Journal of Mathematical Analysis and Applications

Year:

1999

Language:

english

File:

PDF, 189 KB

english, 1999

14

Asymptotic profiles of solutions to convection–diffusion equations

Saı̈d Benachour, Grzegorz Karch, Philippe Laurençot

Journal:

Comptes Rendus Mathematique

Year:

2004

Language:

french

File:

PDF, 102 KB

french, 2004

15

Smooth or singular solutions to the Navier–Stokes system ?

Marco Cannone, Grzegorz Karch

Journal:

Journal of Differential Equations

Year:

2004

Language:

english

File:

PDF, 358 KB

english, 2004

16

Asymptotic profiles of solutions to viscous Hamilton–Jacobi equations

Saïd Benachour, Grzegorz Karch, Philippe Laurençot

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2004

Language:

english

File:

PDF, 255 KB

english, 2004

17

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

Piotr Biler, Grzegorz Karch, Wojbor A Woyczyński

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

2001

Language:

english

File:

PDF, 188 KB

english, 2001

18

Self-similar large time behavior of solutions to Korteweg–de Vries–Burgers equation

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1999

Language:

english

File:

PDF, 145 KB

english, 1999

19

Multifractal and Lévy conservation laws

Piotr Biler, Grzegorz Karch, Wojbor A. Woyczyński

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

2000

Language:

french

File:

PDF, 151 KB

french, 2000

20

Nonlinear scattering for some dispersive equations generalizing Benjamin-Bona-Mahony equation

Jacek Dziubański, Grzegorz Karch

Journal:

Monatshefte für Mathematik

Year:

1996

Language:

english

File:

PDF, 342 KB

english, 1996

21

About the Regularized Navier–Stokes Equations

Marco Cannone, Grzegorz Karch

Journal:

Journal of Mathematical Fluid Mechanics

Year:

2005

Language:

english

File:

PDF, 324 KB

english, 2005

22

Asymptotic properties of solutions of the viscous Hamilton-Jacobi equation

Piotr Biler, Grzegorz Karch, Mohammed Guedda

Journal:

Journal of Evolution Equations

Year:

2004

Language:

english

File:

PDF, 210 KB

english, 2004

23

Far field asymptotics of solutions to convection equation with anomalous diffusion

Lorenzo Brandolese, Grzegorz Karch

Journal:

Journal of Evolution Equations

Year:

2008

Language:

english

File:

PDF, 178 KB

english, 2008

24

Blowup of solutions to generalized Keller–Segel model

Piotr Biler, Grzegorz Karch

Journal:

Journal of Evolution Equations

Year:

2010

Language:

english

File:

PDF, 243 KB

english, 2010

25

Asymptotic Stability of Landau Solutions to Navier–Stokes System

Grzegorz Karch, Dominika Pilarczyk

Journal:

Archive for Rational Mechanics and Analysis

Year:

2011

Language:

english

File:

PDF, 237 KB

english, 2011

26

Global regular and singular solutions for a model of gravitating particles

Piotr Biler, Marco Cannone, Ignacio A. Guerra, Grzegorz Karch

Journal:

Mathematische Annalen

Year:

2004

Language:

english

File:

PDF, 198 KB

english, 2004

27

Nonlinear Diffusion of Dislocation Density and Self-Similar Solutions

Piotr Biler, Grzegorz Karch, Régis Monneau

Journal:

Communications in Mathematical Physics

Year:

2010

Language:

english

File:

PDF, 350 KB

english, 2010

28

Decay of mass for nonlinear equation with fractional Laplacian

Ahmad Fino, Grzegorz Karch

Journal:

Monatshefte für Mathematik

Year:

2010

Language:

english

File:

PDF, 161 KB

english, 2010

29

Visualization of Advection-Diffusion in Unsteady Fluid Flow

Grzegorz Karol Karch, Filip Sadlo, Daniel Weiskopf, Claus-Dieter Munz, Thomas Ertl

Journal:

Computer Graphics Forum

Year:

2012

Language:

english

File:

PDF, 463 KB

english, 2012

30

On Convergence of Solutions of Fractal Burgers Equation toward Rarefaction Waves

Karch, Grzegorz, Miao, Changxing, Xu, Xiaojing

Journal:

SIAM Journal on Mathematical Analysis

Year:

2008

Language:

english

File:

PDF, 198 KB

english, 2008

31

Asymptotic Properties of Entropy Solutions to Fractal Burgers Equation

Alibaud, Nathael, Imbert, Cyril, Karch, Grzegorz

Journal:

SIAM Journal on Mathematical Analysis

Year:

2010

Language:

english

File:

PDF, 309 KB

english, 2010

32

Dye-Based Flow Visualization

Karch, Grzegorz K., Sadlo, Filip, Weiskopf, Daniel, Hansen, Charles D., Li, Guo-Shi, Ertl, Thomas

Journal:

Computing in Science & Engineering

Year:

2012

Language:

english

File:

PDF, 1.41 MB

english, 2012

33

Two-dimensional fractal Burgers equation with step-like initial conditions

Karch, Grzegorz, Pudełko, Anna, Xu, Xiaojing

Journal:

Mathematical Methods in the Applied Sciences

Year:

2015

Language:

english

File:

PDF, 206 KB

english, 2015

34

[ACM Press the Nineteenth International ACM Conference - Vancouver, British Columbia, Canada (2014.08.08-2014.08.10)] Proceedings of the Nineteenth International ACM Conference on 3D Web Technologies - Web3D '14 - Visualization of molecular structures using state-of-the-art techniques in WebGL

Mwalongo, Finian, Krone, Michael, Karch, Grzegorz, Becher, Michael, Reina, Guido, Ertl, Thomas

Year:

2014

Language:

english

File:

PDF, 4.16 MB

english, 2014

35

ON ZERO MASS SOLUTIONS OF VISCOUS CONSERVATION LAWS

Karch, Grzegorz, Elena Schonbek, Maria

Journal:

Communications in Partial Differential Equations

Year:

2002

Language:

english

File:

PDF, 397 KB

english, 2002

36

[IEEE 2013 IEEE Pacific Visualization Symposium (PacificVis) - Sydney, Australia (2013.02.27-2013.03.1)] 2013 IEEE Pacific Visualization Symposium (PacificVis) - Visualization of piecewise linear interface calculation

Karch, Grzegorz K., Sadlo, Filip, Meister, Christian, Rauschenberger, Philipp, Eisenschmidt, Kathrin, Weigand, Bernhard, Ertl, Thomas

Year:

2013

Language:

english

File:

PDF, 9.52 MB

english, 2013

37

Visualization of 2D unsteady flow using streamline-based concepts in space-time

Karch, Grzegorz K., Sadlo, Filip, Weiskopf, Daniel, Ertl, Thomas

Journal:

Journal of Visualization

Year:

2016

Language:

english

File:

PDF, 5.02 MB

english, 2016

38

On the validity of the Picard algorithm for nonlinear parabolic equations

Cannone, Marco, Karch, Grzegorz

Journal:

Proceedings of the Royal Society of Edinburgh Section A Mathematics

Year:

2005

Language:

english

File:

PDF, 166 KB

english, 2005

39

Blowup of solutions to a diffusive aggregation model

Biler, Piotr, Karch, Grzegorz, Laurençot, Philippe

Journal:

Year:

2009

Language:

english

File:

PDF, 429 KB

english, 2009

40

Spikes and diffusion waves in a one-dimensional model of chemotaxis

Karch, Grzegorz, Suzuki, Kanako

Journal:

Year:

2010

Language:

english

File:

PDF, 3.03 MB

english, 2010

41

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

Biler, Piotr, Karch, Grzegorz, Zienkiewicz, Jacek

Journal:

Year:

2015

Language:

english

File:

PDF, 741 KB

english, 2015

42

Self-Similarity in Viscous Boussinesq Equations

Grzegorz Karch and Nicolas Prioux

Journal:

Proceedings of the American Mathematical Society

Year:

2008

Language:

english

File:

PDF, 761 KB

english, 2008

43

Self-similarity in viscous Boussinesq equations

Karch, Grzegorz, Prioux, Nicolas

Journal:

Proceedings of the American Mathematical Society

Year:

2007

Language:

english

File:

PDF, 168 KB

english, 2007

44

L2-asymptotic stability of singular solutions to the Navier-Stokes system of equations in

Karch, Grzegorz, Pilarczyk, Dominika, Schonbek, Maria E.

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2016

Language:

english

File:

PDF, 410 KB

english, 2016

45

Dynamical spike solutions in a nonlocal model of pattern formation

Marciniak-Czochra, Anna, Härting, Steffen, Karch, Grzegorz, Suzuki, Kanako

Journal:

Year:

2018

Language:

english

File:

PDF, 1.62 MB

english, 2018

46

2016 IEEE Scientific Visualization Contest Winner: Visual and Structural Analysis of Point-based Simulation Ensembles

Gralka, Patrick, Grottel, Sebastian, Staib, Joachim, Schatz, Karsten, Karch, Grzegorz, Hirschler, Manuel, Krone, Michael, Reina, Guido, Gumhold, Stefan, Ertl, Thomas

Journal:

IEEE Computer Graphics and Applications

Year:

2018

Language:

english

File:

PDF, 2.84 MB

english, 2018

47

Global radial solutions in classical Keller–Segel model of chemotaxis

Biler, Piotr, Karch, Grzegorz, Pilarczyk, Dominika

Journal:

Journal of Differential Equations

Year:

2019

Language:

english

File:

PDF, 748 KB

english, 2019

48

[AIP Disordered and complex systems - London, United Kingdom (10-14 July 2000)] AIP Conference Proceedings - Scaling in nonlinear parabolic equations: Applications to Debye system

Karch, Grzegorz

Year:

2001

Language:

english

File:

PDF, 679 KB

english, 2001

49

[AIP Disordered and complex systems - London, United Kingdom (10-14 July 2000)] AIP Conference Proceedings - Scaling in nonlinear parabolic equations: Applications to Debye system

Karch, Grzegorz

Year:

2001

File:

PDF, 679 KB

2001

50

An experimental and numerical investigation of the thermal and nonâthermal efficiency for counterflow heat exchanger

Borowski, Marek, Karch, MichaÅ, Kleszcz, SÅawosz, Sala, PaweÅ, Waryan, Grzegorz, Mohamad, A., Taler, J., Benim, A.C., Bennacer, R., Suh, S.-H., de Lieto Vollaro, R., Vallati, A., Battista, G.

Journal:

E3S Web of Conferences

Year:

2019

File:

PDF, 488 KB

2019