Decay of solutions to integrodifferential equations - TIB AV-Portal

Decay of solutions to integrodifferential equations

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Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Bárta, Tomáš

Formal Metadata

Title

Decay of solutions to integrodifferential equations

Title of Series

Multiscale Models for Complex Fluids: Modeling and Analysis

Number of Parts

39

Author

Bárta, Tomáš

License

CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.

Identifiers

10.14288/1.0398137 (DOI)

Publisher

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Release Date

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Subject Area

Genre

Abstract

We discuss long time behavior of solutions to a non-linear second order integrodifferential convolution equation, in particular we focus on the speed of convergence to equilibrium. The key assumptions are that the convolution kernel is small and the non-linear operator satisfies the Lojasiewicz inequality.

Keywords

Partial Differential Equations

Fluid Mechanics

Series

Multiscale Models for Complex Fluids: Modeling and Analysis9 / 39

1

26:29

Mv-strong uniqueness for density dependent, incompressible, non-Newtonian fluids

2

22:33

On the effective viscosity of suspensions

3

21:05

Ergodic hypothesis for open fluid systems

4

26:20

Compressible flow or rough denisty

5

16:27

Pure stress modes for linear viscoelastic flows with variable coefficients

6

19:12

Thermodynamically consistent derivation of a micro-macro model for dilute polymeric fluids

7

23:09

Local-in-time existence of solutions to strain-limiting viscoelasticity

8

20:52

From compressible Naveir-Stokes with nonlocal forces to Euler

9

18:43

Decay of solutions to integrodifferential equations

10

20:22

Instability of finite time blow-ups solutions for incompressible Euler

11

23:50

Large data analysis for Kolmogorovâ s two-equation model of turbulence

12

24:51

Analysis and approximation of implicitly constituted fluid flow models

13

26:13

On evolutionary problems with a-priori bounded gradients

14

25:24

Effective dynamics for stochastic differential equations

15

23:06

Thermodynamics of viscoelastic rate-type fluids and its implications for stability analysis

16

16:10

On the motion of a compressible viscous fluid driven by time-periodic inflow/outflow boundary conditions

17

24:09

On the dynamical network of interacting particles: from micro to macro

18

21:14

Viscoelastic phase separation: analysis and numerics

19

20:36

Incompressible limit for a two-species tumour growth model

20

28:21

A variational approach to fluid-structure interaction

21

24:55

Weak and measure-valued solutions for the compressible Euler equations

22

22:36

Weak Solutions for Compressible Navier-Stokes equations with inhomogenous and thermodynmaically unstable pressure laws

23

20:41

On a body with a cavity filled with compressible fluid

24

21:23

On the dynamic slip boundary condition

25

18:06

Analysis of degenerate cross-diffusion systems for heat-conducting fluid mixtures

26

19:43

Uniqueness and regularity of flows of non-Newtonian fluids with critical power-law growth

27

22:48

Estimating the division of amyloid fibrils

28

20:57

Absolute Instabilities of Travelling Waves Solutions in a KellerSegel Model

29

20:55

Analysis of an unsteady flow of an incompressible heat-conductive rate-type viscoelastic fluid with stress diffusion

30

18:48

Vanishing porosity limit of the coupled Stokes-Brinkman system

31

23:07

Stability results for the nonlocal Mullins-Sekerka flow

32

26:21

Viscoelastic motions of Maxwell fluids with finite propagation speed

33

29:27

On planar flows of viscoelastic fluids of the Burgers type

34

24:36

Statistical Properties of the Navier-Stokes-Voigt Model

35

21:56

Existence analysis of a stationary compressible fluid model for heat-conducting and chemically reacting mixtures

36

20:32

Fast reaction limit with nonmonotone reaction function

37

20:26

Dissipative measure-valued solutions for the Euler-Poisson equation

38

22:03

Non-uniqueness of admissible weak solutions to the compressible Euler equations with smooth initial data

39

19:40

Existence and uniqueness for a viscoelastic Kelvin-Voigt model with nonconvex stored energy

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