✦ LIBER ✦

Source Reconstruction in a Coastal Evolution Equation

✍ Scribed by M. Spivack; D.E. Reeve

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 431 KB
Volume: 161
Category: Article
ISSN: 0021-9991
DOI: 10.1006/jcph.2000.6496

No coin nor oath required. For personal study only.

✦ Synopsis

A method is derived for the reconstruction of a source term in a linear parabolic equation, describing seabed evolution over fairly large time scales. The approach is based upon inversion of the formal solution for the direct problem and assumes that data are available on a regular grid at successive time steps. The method is applied first to simulated data, both with and without additional random noise, and gives close agreement with the exact solution. It is then applied to measurements taken for a group of sandbanks near the East Coast of the United Kingdom, and preliminary results are presented.

📜 SIMILAR VOLUMES

Recovery of a Variable Coefficient in a

Recovery of a Variable Coefficient in a Coastal Evolution Equation

✍ M Spivack; D.E Reeve 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 164 KB

A method is presented for reconstructing an unknown coefficient in a linear diffusion equation from measured data. This equation arises in the description of coastline evolution, and preliminary results are presented here. The unknown term may vary with both space and time, although time variation i

Modified KdV equation with a source term

Modified KdV equation with a source term in a bounded domain

✍ N. A. Larkin 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 133 KB

## Abstract A mixed problem for the modified KdV equation in __Q__ = (0,1) × (0,∞) where __a__(__t__)>0, is considered. No restriction on the sign of __d__(__t__) is imposed. We prove the existence and uniqueness of strong and weak global solutions as well as the exponential decay of solutions as

Blowup of solutions for a class of non-l

Blowup of solutions for a class of non-linear evolution equations with non-linear damping and source terms

✍ Yang Zhijian 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 96 KB 👁 1 views

## Abstract We consider the blowup of solutions of the initial boundary value problem for a class of non‐linear evolution equations with non‐linear damping and source terms. By using the energy compensation method, we prove that when __p__>max{__m__, __α__}, where __m__, __α__ and __p__ are non‐neg

Simultaneous Reconstruction of Two Param

Simultaneous Reconstruction of Two Parameters for Transport Equation in a Stratified Half-Space

✍ Jinpin Ying; Feng Wu; Wei Sun 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 279 KB

Treated wastewater as a source of sedime

Treated wastewater as a source of sediment contamination in gulf of Mexico near-coastal areas: A survey

✍ Michael Lewis; David Weber; Roman Stanley; Barbara Albrecht 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 158 KB

Well-posedness of a nonlinear evolution

Well-posedness of a nonlinear evolution equation arising in growing cell population

✍ Jesús Garcia-Falset 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 156 KB

## Communicated by M. Lachowicz We prove that a nonlinear evolution equation which comes from a model of an age-structured cell population endowed with general reproduction laws is well-posed.