Wyniki wyszukiwania

1

Steady states for a fragmentation equation with size diffusion

100%

Laurençot P.

Banach Center Publications

|

2004

|

tom 66

|

nr 1

211-219

EN

The existence of a one-parameter family of stationary solutions to a fragmentation equation with size diffusion is established. The proof combines a fixed point argument and compactness techniques.

2

Behaviour of solutions to $u_{t} - Δu + |∇u|^{p} = 0$ as p → +∞

100%

Laurençot P.

Banach Center Publications

|

2000

|

tom 52

|

nr 1

153-161

3

The Young inequality and the Δ₂-condition

100%

Laurençot P.

Colloquium Mathematicum

|

2002

|

tom 94

|

nr 2

221-223

EN

If φ: [0,∞) → [0,∞) is a convex function with φ(0) = 0 and conjugate function φ*, the inequality $xy ≤ εφ(x) + C_{ε}φ*(y)$ is shown to hold true for every ε ∈ (0,∞) if and only if φ* satisfies the Δ₂-condition.

4

The Becker-Döring model with diffusion. I. Basic properties of solutions

64%

Laurençot P., Wrzosek D.

Colloquium Mathematicum

|

1998

|

tom 75

|

nr 2

245-269

5

Global existence and convergence to steady states in a chemorepulsion system

51%

Cieślak T., Laurençot P., Morales-Rodrigo C.

Banach Center Publications

|

2008

|

tom 81

|

nr 1

105-117

EN

In this paper we consider a model of chemorepulsion. We prove global existence and uniqueness of smooth classical solutions in space dimension n = 2. For n = 3,4 we prove the global existence of weak solutions. The convergence to steady states is shown in all cases.

Ograniczanie wyników

3 Banach Center Publications

2 Colloquium Mathematicum

5 Laurençot P.

1 Cieślak T.

1 Morales-Rodrigo C.

1 Wrzosek D.

1 2008

1 2004

1 2002

1 2000

1 1998

Steady states for a fragmentation equation with size diffusion

Behaviour of solutions to $u_{t} - Δu + |∇u|^{p} = 0$ as p → +∞

The Young inequality and the Δ₂-condition

The Becker-Döring model with diffusion. I. Basic properties of solutions

Global existence and convergence to steady states in a chemorepulsion system