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Technical reports of the Institute of Applied Mathematics and Mechanics


2011
203. K. Moszyński: Simplified non-Navier-Stokes model of turbulent flow and its first numerical realization in D2
202. M. Burnat: On some mathematical model of turbulent flow with intensive selfmixing
201. Krzysztof Moszyński: On certain numerical application of the time-splitting method
2010
200. M.D. Korzec, P. Nayar, P. Rybka: Global weak solutions to a sixth order Cahn-Hilliard type equation
199. U. Foryś, M. Piotrowska: Angiogenesis models with discrete delays: part I
198. Y. Giga, P. Górka, P. Rybka: A Comparison Principle for Hamilton-Jacobi equations with discontinuous Hamiltonians
197. L. Marcinkowski: A Balancing Neumann-Naumann Method for a Mortar Finite Element Discretization of Fourth Order Elliptic Problems
196. W. Merz, P. Rybka: Strong Solutions to the Richards Equation in the Unsaturated Case
2009
195. M.A.J. Chaplain, M. Lachowicz, Z. Szymańska, D. Wrzosek: Mathematical modelling of cancer invasion: the importance of cell-cell adhesion and cell-matrix adhesion
194. P. Krzyżanowski, P. Laurencot, D. Wrzosek: Mathematical models of receptor-mediated transport of morphogens
193. D. Wrzosek: Volume filling effect in modelling chemotaxis
192. Z. M. Gliwicz, E. Szymańska, D. Wrzosek: Prey selectivity by planktivorous fish and body size distribution in Daphnia populations
191. D. Wrzosek: Model of chemotaxis with threshold density and singular diffusion
190. M. Lachowicz: Microscopic, mesoscopic and macroscopic descriptions of complex systems
189. Iwona Skrzypczak: Ważewska-Czyżewska-Lasota models
188. M. Dryja, J. Galvis, M. Sarkis: Neumann-Neumann methods for a DG discretization on geometrically nonconforming substructures
2008
187. A. Wiszniewska-Matyszkiel: Exploitation of a common ecosystem, beliefs and self-verification in game-theoretic model
186. G. Łukaszewicz: On pullback attractors in H^1_0 for nonautonomous reaction-diffusion equations
185. G. Łukaszewicz, A. Tarasińska: On H^1 - pullback attractors for nonautonomous micropolar fluid equations in a bounded domain
184. A. Wiszniewska-Matyszkiel: Open and closed loop Nash equilibria in games with continuum of players
183. A. Wiszniewska-Matyszkiel: The Bellman Equation for Dynamic Optimization with Infinite Horizon and Extended-Valued Objective Functions
182. L. Marcinkowski: A preconditioner for FETI-DP method for mortar element discretization of a 4th order problem in 2D
181. M. Bodnar: An integro-differential equation arising as a limit of an individual cell-based models: the case of bounded domain
180. B. Bialecki, M. Dryja: Nonoverlapping domain decomposition with cross points for orthogonal spline collocation
179. U. Foryś: Multidimensional Lotka-Volterra systems for carcinogenesis mutations
178. Y. Kogan, U. Foryś, N. Kronik: Analysis of the immunotherapy model for glioblastoma multiforme brain tumour
2007
177. M. Boukrouche, G. Łukaszewicz: On the existence of pullback attractor for a two-dimensional shear flow with Tresca's boundary condition
176. G. Łukaszewicz, M. Boukrouche: Shear flows and their attractors
175. G. Łukaszewicz: Pullback attractors and statistical solutions for 2-D Navier-Stokes equations
174. R. Kowalczyk, Z. Szymańska: On the global existence of solutions to an aggregation model
173. L. Marcinkowski: A Neumann-Neumann algorithm for a mortar finite element for fourth order elliptic problems in 2D
172. Z. Szymańska, C. Morales-Rodrigo, M.Lachowicz, M.A.J. Chaplain: Mathematical modelling of cancer invasion of tissue: the role and effect of nonlocal interactions
171. M. Lachowicz: Towards Microscopic and Nonlocal Models of Tumour Invasion of Tissue
170. A. Wiszniewska-Matyszkiel: Belief distorted Nash equilibria for dynamic games with probabilistic beliefs
169. C. Morales-Rodrigo: Local existence and uniqueness of regular solutions in a model of tissue invasion by solid tumours
168. T. Cieślak, P. Laurencot, C. Morales-Rodrigo: Global existence and convergence to steady-states in a chemorepulsion system
167. T. Cieślak, C. Morales-Rodrigo: Quasilinear non-uniformly parabolic-elliptic system modelling chemotaxis with volume filling effect. Existence and uniqueness of global-in-time solutions
166. M. Bodnar, U. Foryś: Three types of simple DDE's describing tumour growth
165. M. Bodnar, U. Foryś: Angiogenesis model with carrying capacity depending on vessel density
164. J. Miękisz: Evolutionary Game Theory and Population Dynamics
163. A. Wiszniewska-Matyszkiel: A model of simplified stock exchange as an example of games with distorted information
162. A. Wiszniewska-Matyszkiel: Dynamic oligopoly as a mixed large game - toy market
161. Marek Burnat and Krzysztof Moszyński: On some problems in mathematical modeling of turbulent flow
2006
160. A. Wiszniewska-Matyszkiel: Games with distorted information and self-verification of beliefs with applications to financial markets
159. A. Wiszniewska-Matyszkiel: Games with distorted information and self-verification of beliefs with applications in exploitation of common resources and minority games
158. M. Bodnar, U. Foryś: Global stability and Hopf bifurcation for a general class of delay differential equations
157. M. Boukrouche, G. Łukaszewicz, J. Real: On pullback attractors for a class of two-dimensional turbulent shear flows
156. M. Lachowicz: Links Between Microscopic and Macroscopic Descriptions
155. M. Boukrouche, G. Łukaszewicz: An upper bound on the attractor dimension of a 2D turbulent shear flow with a free boundary condition
154. T. Caraballo, G. Łukaszewicz, J. Real: Pullback attractors for non-autonomous 2D-Navier-Stokes equations in some unbounded domains
2005
153. A. Wiszniewska-Matyszkiel: Stock market as a game with continuum of players
152. L. Marcinkowski: An Additive Schwarz Method for mortar Morley finite element discretizations of 4th order elliptic problem in 2D
151. M. Lachowicz: Micro and meso scales of description corresponding to a model of tissue invasion by solid tumours
150. R. Kowalczyk: Preventing Blow-up in a Chemotaxis Model
149. J. Banasiak, M. Lachowicz, M. Moszyński: Semigroups for generalized birth-and-death equations in l^p spaces
148. J. A. Langa, G. Łukaszewicz, J. Real: Finite fractal dimension of pullback attractors for non-autonomous PDEs in some unbounded domains
2004
147. Y. Giga, P. Rybka: Stability of facets of crystals growing from vapor
146. J. Banasiak, M. Moszyński: A generalization of Desch-Schappacher-Webb criteria for chaos
145. J. Banasiak, M. Lachowicz, M. Moszyński: Chaotic behavior of semigroups related to the process of gene amplification-deamplification with cells' proliferation
144. M. Bodnar, U. Foryś: Time delay in necrotic core formation
143. M. Boukrouche, G. Łukaszewicz: Attractor dimension estimate for plane shear flow of micropolar fluid with free boundary
142. M. Boukrouche, G. Łukaszewicz: An upper bound on the attractor dimension of a 2D turbulent shear flow in lubrication theory
141. T. Caraballo, G. Łukaszewicz, J. Real: Pullback attractors for asymptotically compact nonautonomous dynamical systems
140. M. Lachowicz: A model of swarming and its macroscopic limit
139. M. Lachowicz: Stochastic semigroups and coagulation equations
138. L. Marcinkowski: Additive Schwarz Method for mortar discretization of elliptic problems with p1 nonconforming finite element
137. Y. Giga, P. Rybka: Stability of facets of self-similar motion of a crysta
2003
136. Zheng Lie, D. Wrzosek: Asymptotic Behavior of Solutions to the Nonlinear Breakage Equations
135. D. Wrzosek: Global attractor for a chemotaxis model with prevention of overcrowding
134. Luisa Arlotti, Andreas Deutsch, M. Lachowicz: On a discrete Boltzmann-type model of swarming
133. P. Gwiazda, A. Świerczewska: Well-posedness of the Scalar Conservation Law with Multivalued Source Term
132. Yoshikazu Giga, P. Rybka: Existence of self-similar evolution of crystals grown from supersaturated vapor
131. T. Płatkowski: Evolution of Populations Playing Mixed Multi-Player Games
130. Laurent Thevenot: An optimality condition for the assembly distribution in a nuclear reactor
129. P. Rybka: Convergence of a heat flow on a Hilbert manifold
128. A. Łada, L. Sidz: Stable Dirichlet observability and controllability for the evolution isotropic Lame system with variable coefficients
127. A. Wiszniewska-Matyszkiel: Common resources, optimality and taxes in dynamic games with increasing number of players
126. Magda Gałach: Dynamics of tumor - immune system competition - the effect of time delay
125. Zuzanna Szymańska: Analysis of Immunotherapy Models in the Context of Cancer Dynamics
124. Piotr Gwiazda, Anna Zatorska-Goldstein: An existence result for the Leray-Lions type operators with discontinuous coefficients
123. Urszula Foryś, Anna Marciniak-Czochra: Logistic equation in tumour growth modelling
122. Urszula Foryś, Anna Mokwa-Borkowska: Solid tumour growth Analysis of necrotic core formation
121. Piotr Gwiazda: Balance Law with Multivalued Source Term: Uniqueness and L^1-stability Results
120. Mirosław Lachowicz: General population systems at the level of interacting individuals
119. Zbigniew Peradzyński: On Existence and Uniqueness of Solutions for Equations of Stationary Plasma Thruster
118. Maria Gokieli, Leszek Marcinkowski: Discrete approximation of a Cahn-Hilliard / Allen-Cahn system with logarithmic entropy
117. Jacek Miękisz: Risk-Dominant Equilibrium Selection in Evolutionary Games with Random Matching
116. Mikhail Kolev: A Mathematical Model of Cellular Immune Response to Leukemia
115. Maciej Bukowski, Jacek Mi?kisz: Evolutionary and Asymptotic Stability in Multi-Player Games with Two Strategies
114. Jacek Miękisz: Long-Run Behavior of Stochastic Evolutionary Games with Many Players
113. Urszula Foryś: Global stability for some type ofdelay differential equations
112. M. Lachowicz, P. Laurencot, D. Wrzosek: On the Oort-Hulst-Safronov coagulation equation and its relation to the Smoluchowski equation
111. D. Wrzosek: Weak solutions to the Cauchy problem for the diffusive discrete coagulation-fragmentation system
110. U. Foryś M. Kolev: Time delays in proliferation and apoptosis for solid avascular tumour
109. M. Boukrouche, G. Łukaszewicz: Asymptotic analysis of solutions of a thin film lubrication problem with Coulomb fluid solid interface law
108. Y. Giga, P. Rybka: Berg's Effect.
107. M. Lachowicz: Describing Competitive Systems at the Level of Interacting Individuals
106. M. Lachowicz: Asymptotic Theory for the Averaged Boltzmann Equation
105. M. Kolev, E. Kozłowska, M. Lachowicz: A Mathematical Model for Single Cell Cancer - Immune System Dynamics
104. M. Lachowicz: On Bilinear Kinetic Equations. Between Micro and Macro Description of Biological Populations
103. P. Rybka, W. Merz: A Free Boundary Problem Describing Reaction-Diffusion Problems in Chemical Vapor Infiltration of Pyrolytic Carbon
102. U. Foryś, M. Bodnar: Time Delays in Regulatory Apoptosis for Solid Avascular Tumour
101. V. Volpert, B. Kaźmierczak, M. Massot, Z. Peradzyński: Solvability conditions for elliptic problems with non Fredholm operators
2001
100. P. Gwiazda: An Existence Result for Balance Laws with Multifunctions: A Model from the Theory of Granular Media
99. M. Kolev: Mathematical Modelling of the Competition between Tumors and Immune System Considering the Role of the Antibodies
98. Jan Janas, Marcin Moszyński: Asymptotics of solutions of difference equations and spectral proporties of some Jacobi matrices^1
97. U. Foryś: On the Mikhailov Criterion and Stability of Delay Differential Equations
96. U. Foryś, M. Bodnar: Time Delays in Proliferation Proces for Solid Avascular Tumour
95. P. Laurencot, D. Wrzosek: Time asymptotics for a Becker-D\{o}ring-type model of aggregation with collisional fragmentation
94. M. Lachowicz: Between Microscopic and Macroscopic Description
93. P. Rybka, Qi Tang, D. Waxman: Evolution in a changing environment: Existence of Solutio
92. R. Kowalczyk, U. Foryś: Qualitative Analysis on the Initial Value Problem to the Logistic Equation with Dela
91. Piotr Bogusław Mucha, Wojciech M. Zajączkowski: On stability of equilibrium solutions of the free boundary problem for a viscous self-gravitating incompressible fluid
90. Yoshikazu Giga, Piotr Rybka: Quasi-static evolution of 3-D crystals grown from supersaturated vapo
89. M. Bodnar: On the norm conservation for generalized Boltzmann models with delay
88. U. Foryś: Marchuk's Model of Immune System Dynamics with Application to Tumour Growth
87. U. Foryś: Hopf Bifurcation in Marchuk's Model
86. G. Łukaszewicz: Strong periodic solutions for a class of abstract evolution equations
85. Grzegorz Łukaszewicz, Witold Sadowski: Uniform attractor for 2D magneto-micropolar fluid flow in some unbounded domains
84. Leszek Marcinkowski: A mortar method for 4th order problems with dual Lagrange multipliers
2000
83. M. Bodnar: On the blow-up of solutions of delay differential equations
82. G.Łukaszewicz, M.A.Rojas-Medar, M.M.Santos: Stationary Micropolar Fluid Flows with Boundary Data in L^2
81. Yoshikazu Giga, Maurizio Paolini, Piotr Rybka: On the motion by singular interfacial energy
80. M. Lachowicz, D. Wrzosek: Nonlocal Bilinear Equations. Equilibrium Solutions and Diffusive Limit
79. : Seminarium z okazji 70-lecia prof. dr hab. A. Piskorka 16.06.1999r. Zbiór referatów.
78. M. Dryja, K. Moszyński: On Jeffreys Model of Heat Conduction.
77. Z. Peradzyński, B. Kaźmierczak: Conical fronts in reaction-diffusion equations.
76. K. Chełmiński, P. Gwiazda: Nonhomogeneous Initial-Boundary Value Problems for Coercive and Self-Controlling Models of Monotone Type.
75. L. Marcinkowski: Two Domain Decomposition Methods for Mortar Finite Element Discretizations of Plate Problems.
74. D. Wrzosek: Mass-conserving solutions to the discrete coagulation-fragmentation model with diffusion.
73. P. Rybka: On modified crystalline Stefan problem with singular data.
72. A. Wiszniewska-Matyszkiel: A dynamic game with continuum of players and its counterpart with finitely many players.
71. M. Bodnar: Delay and Ordinary Differential Equations. Comparison of Qualitative Behaviour of Solutions.
70. A. Wiszniewska-Matyszkiel: Static and Dynamic Equilibria in Games with Continuum of Players.
69. K. Chełmiński: Od metody Minty'ego-Browdera do teorii viscosity solutions.
68. M. Lachowicz: Is the linearized Boltzmann-Enskog operator dissipative?.
1999
67. Jean-Pierre Gazeau, Rudolf Krejcar, J. Miękisz: Ground States of Quasilattice-Gas Models.
66. G. Łukaszewicz: Long time behavior of 2D micropolar fluid flows.
65. P. Gwiazda: Nonhomogeneous boundary value-problem for the Chan-Bodner-Linholm model.
64. Karl-Heinz Hoffmann, P. Rybka: Analyticity of the nonlinear term forces convergence of solutions to two equations of continuum mechanics.
63. M. Lachowicz: Hydrodynamic limits of some kinetic equations.
62. S. Jagodziński, M. Lachowicz: Incompressible Navier-Stokes Limit for the Enskog Equation.
61. L. Marcinkowski: A mortar element method for some discretizations of a plate problem.
60. A. Wiszniewska-Matyszkiel: Dynamic game with continuum of players modelling tragedy of the commons .
59. P. Rybka: On convergence of solutions of the crydtalline Stefan problem with Gibbs-Thomson law and kinetic undercooling.
58. A. Wiszniewska: Existence of Pure Equilibria in Games with Nonatomic Space of Players.
57. G. Łukaszewicz, W. Sadowski: On a Free Boundary Problem in Ground Freezing.
56. T. Płatkowski, W. Waluś: An Acceleration Procedure for Discrete Velocity Approximation of The Boltzmann Collision Operator.
55. Karl-Heinz Hoffmann, P. Rybka: On convergence of solutions to the equation of viscoelasticity with capillarity.
54. J. Jędrzejewski, J. Miękisz: Devil's staircase for a nonconvex interaction.
53. J. Jędrzejewski, J. Miękisz: Ground states of lattice gases with ``almost convex repulsive interactions.
52. M. Bodnar, U. Foryś: A Model of the Immune System with Time-Dependent Immune Reactivity.
51. A. Łada, L. Sidz: Low energy resolvent bound for second order variable coefficients elliptic operator; Mourre method.
50. M.A. Herrero, J.J.L. Velazquez, D. Wrzosek: Sol-Gel Transition in a Coagulation-Diffusion Model.
49. M. Lachowicz, D. Wrzosek: A Nonlocal Coagulation - Fragmentation Model.
1998
48. A. Łada, L. Sidz: Half Space Fourier Transform in Application to Nonlinear Hyperbolic Initial-Boundary Value Problem: Low Regularity Solutions.
47. A. Łada, L. Sidz: Estimates of the Multilinear Form on the Spaces L^p Kato - Ponce Theorem.
46. J. Miękisz: Classical Lattice-Gas Models of Quasicrystals.
45. J. Miękisz: Nonperiodic Gibbs States in Microscopic Models of Quasicrystals.
44. M. Bójko, P. Krzyżanowski: Rozwiązywanie układ;SPMquot;ow r;SPMquot;ownań przy pomocy pakietu PETSc.
43. P. Kowalczyk, T. Płatkowski, W. Waluś: Focusing of a Shock Wave in a Rarefied Gas: A Numerical Study.
42. M. Moszyński: Quantization of canonical isomorphisms and the semiclassical von Neumann theorem in the deformation model of quantum mechanics.
41. M. Boukrouche, G. Łukaszewicz: On a steady state two - phose Stefan problem with convection and nonNewtonian fluid, II.
40. Z. Naniewicz: Minimization with integrands composed of minimum of convex functions.
39. Jean-Pierre Gazeau, J. Miękisz: A Symmetry Group of a Thue-Morse Quasicrystal.
1997
38. A. Wieczorek, A. Wiszniewska: A Game-Theoretic Model of Social Adaptation in an Infinite Population.
37. Aernout C.D. van Enter, J. Miękisz, Milos Zahradnik: Non-periodic long-range order for fast decaying interactions at positive temperatures.
36. D. Dąbrowska, M.A. Kowalski: Approximating band- and energy-limited signals in the presence of jitter.
35. L. Marcinkowski: The mortar element method with locally nonconforming elements.
34. A. Piskorek, A. Szymaniec: Local in time existence of solution to the Dirichlet initial-boundary value problem in nonlinear hypoelasticity.
33. P. Krzyżanowski: A Note on Preconditioning Nonsymmetric Saddle Point Problems.
32. K. Chełmiński, P. Gwiazda: On the Model of Bodner-Partom with Nonhomogenous Boundary Data.
31. P. Laurencot, D. Wrzosek: The Becker-Doring model with diffusion. I. Basic properties of solutions.
30. Z. Naniewicz, Panagiotis D. Panagiotopoulos: Variational Theory for Liquid Crystals with Variable Degree of Orientation.
29. J. Miękisz: Stable Quasicrystalline Ground States.
28. J. Miękisz: An Ultimate Frustration in Classical Lattice-Gas Models.
27. G. Łukaszewicz: On a barodiffusion problem in region with moving boundary.
26. B. Kacewicz: Quality of conditional system identification in a general class of norms.
25. E. Wierzbicki: Efekt skali w zagadnieniach dynamiki i stateczności mikroperiodycznych kompozyt;SPMquot;ow poddanych skończonym odkształceniom sprężystym.
1996
24. M. Lachowicz: On the hydrodynamic limit of the Enskog equation.
23. P. Laurencot, D. Wrzosek: Fragmentation-diffusion model. Existence of solutions and asymptotic behaviour.
22. T. Stortluhl: Iterative Substructuring Algorithms on Sparse Grids using the Mortar Element Method.
21. P. Krzyżanowski: Mixed Finite Element Method for Micropolar Fluids.
20. J. Rusinek: Quasi-Analytic and Stieltjes Vectors.
19. Z. Naniewicz: Hemivariational Inequalities as Necessary Conditions for Optimality for a Class of Nonsmooth Nonconvex Functionals.
18. M. Lachowicz: From kinetic to Navier - Stokes - type equations.
17. L.Arlotti, M.Lachowicz: Euler and Navier-Stokes limits of the Uehling-Uhlenbeck quantum kinetic equations.
16. D. Wrzosek: Existence of solutions for the discrete coagulation-fragmentation model with diffusion.
15. K. Piech;SPMquot;or, T. Płatkowski: Kinetic and hydrodynamic travelling wave solutions of 2-velocity models of the extended boltzmann equation.
14. M. Boukrouche, G. Łukaszewicz: On a time periodic problem for the Navier-Stokes equations with nonstandard boundary data.
13. L. Marcinkowski: Additive Schwarz method for quasilinear eliptic partial differential equations.
1995
12. Guy Bayada, G. Łukaszewicz: On Micropolar Fluids in the Theory of Lubrication. Rigorous Derivation of an Analogue of the Reynolds Equation.
11. M. Lachowicz: Między mikroświatem a makroświatem - analiza asymptotyczna.
10. Zarządzanie ryzykiem na rynku kapitałowym. Materiały seminarium z 16 września 1995.:
9. L. Arlotti, M. Lachowicz: On the Hydrodynamic Limit for Quantum Kinetic Equations.
8. P. Krzyżanowski, G. Łukaszewicz: On the heat convection equations with dissipation term in regions with moving boundaries.
7. G. Łukaszewicz: On the Navier-Stokes equations in time dependent domains and with boundary conditions involving the pressure.
6. G.W. Wasilkowski, H. Woźniakowski: On Tractability of Path Integration.
5. M. Palczewski, J. Schneider, A.V. Bobylev: A consistency result for a discrete-velocity model of the Bolzmann equation.
4. : Informator Instytutu Matematyki Stosowanej i Mechaniki Uniwersytetu Warszawskiego.
3. : General Directory Institute of Applied Mathematics and Mechanics Warsaw University.
2. D. Wrzosek: Existance and uniqueness of solutions for a semiconductor device model with courrent dependent generation-recombination term.
1. M. Lachowicz, D. Wrzosek: Matematyczne Modele Zjawisk Przyrodniczych.