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## Smoothing and Decay Estimates for Nonlinear Diffusion Equations: Equations of Porous Medium Type

*Juan Luis Vázquez*

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780199202973
- eISBN:
- 9780191707919
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199202973.001.0001
- Subject:
- Mathematics, Applied Mathematics

This book is concerned with the quantitative aspects of the theory of nonlinear diffusion equations; equations which can be seen as nonlinear variations of the classical heat equation. They appear as ... More

## Subcritical range of the FDE. Critical line. Extinction. Backward effect

*Juan Luis Vázquez*

### in Smoothing and Decay Estimates for Nonlinear Diffusion Equations: Equations of Porous Medium Type

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780199202973
- eISBN:
- 9780191707919
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199202973.003.0006
- Subject:
- Mathematics, Applied Mathematics

This chapter studies the smoothing effect and decay rates for the FDE in the subcritical range m < mc , and also for the critical exponent mc = (n - 2)/n. ... More

## Non-Markovian Dynamics in Physical Systems

*Heinz-Peter Breuer and Francesco Petruccione*

### in The Theory of Open Quantum Systems

- Published in print:
- 2007
- Published Online:
- January 2010
- ISBN:
- 9780199213900
- eISBN:
- 9780191706349
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199213900.003.10
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

This chapter applies the time-convolutionless projection operator technique to some typical systems featuring strong non-Markovian behaviour. The first example models the decay of a two-level system ... More

## The Strong Coupling Constant

*GÜNTHER DISSERTORI, IAN G. KNOWLES, and MICHAEL SCHMELLING*

### in Quantum Chromodynamics: High Energy Experiments and Theory

- Published in print:
- 2009
- Published Online:
- January 2010
- ISBN:
- 9780199566419
- eISBN:
- 9780191708060
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199566419.003.0008
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology

This chapter reviews the determination of the strong coupling. Apart from the quark masses, the strong coupling is the only free parameter of QCD. Frequently employed methods to infer the strength of ... More

## Turbulence energy: its inertial transfer and dissipation

*W. David McComb*

### in Homogeneous, Isotropic Turbulence: Phenomenology, Renormalization and Statistical Closures

- Published in print:
- 2014
- Published Online:
- April 2014
- ISBN:
- 9780199689385
- eISBN:
- 9780191768255
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199689385.003.0004
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

The chapter begins by stating the test problems of HIT, as (1) free of the energy spectrum decay from a specific initial value and (2) stationary turbulence which is subject to external forcing. A ... More

## Scattering processes

*Michael Kachelriess*

### in Quantum Fields: From the Hubble to the Planck Scale

- Published in print:
- 2017
- Published Online:
- February 2018
- ISBN:
- 9780198802877
- eISBN:
- 9780191841330
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198802877.003.0009
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

The unitarity of the S-matrix is used to derive the optical theorem. The connection between Green functions and scattering amplitudes given by the LSZ reduction formula is derived. The trace and the ... More

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