LEADER 03695nam 22007212 450 001 9910813070103321 005 20151005020623.0 010 $a1-107-23231-7 010 $a9786613342591 010 $a1-139-16162-8 010 $a1-139-15781-7 010 $a1-139-16062-1 010 $a1-283-34259-6 010 $a1-139-15605-5 010 $a1-139-15957-7 010 $a0-511-99775-2 035 $a(CKB)2550000000061245 035 $a(EBL)807232 035 $a(OCoLC)767579454 035 $a(SSID)ssj0000555056 035 $a(PQKBManifestationID)11366522 035 $a(PQKBTitleCode)TC0000555056 035 $a(PQKBWorkID)10517584 035 $a(PQKB)10517820 035 $a(UkCbUP)CR9780511997754 035 $a(MiAaPQ)EBC807232 035 $a(Au-PeEL)EBL807232 035 $a(CaPaEBR)ebr10514101 035 $a(CaONFJC)MIL334259 035 $a(PPN)19943834X 035 $a(EXLCZ)992550000000061245 100 $a20110112d2011|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aLocalization in periodic potentials $efrom Schro?dinger operators to the Gross-Pitaevskii equation /$fDmitry E. Pelinovsky$b[electronic resource] 210 1$aCambridge :$cCambridge University Press,$d2011. 215 $a1 online resource (x, 398 pages) $cdigital, PDF file(s) 225 1 $aLondon Mathematical Society lecture note series ;$v390 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a1-107-62154-2 320 $aIncludes bibliographical references and index. 327 $a1. Formalism of the nonlinear Schro?dinger equations -- 2. Justification of the nonlinear Schro?dinger equations -- 3. Existence of localized modes in periodic potentials -- 4. Stability of localized modes -- 5. Traveling localized modes in lattices -- Appendix A. Mathematical notations -- Appendix B. Selected topics of applied analysis. 330 $aThis book provides a comprehensive treatment of the Gross-Pitaevskii equation with a periodic potential; in particular, the localized modes supported by the periodic potential. It takes the mean-field model of the Bose-Einstein condensation as the starting point of analysis and addresses the existence and stability of localized modes. The mean-field model is simplified further to the coupled nonlinear Schro?dinger equations, the nonlinear Dirac equations, and the discrete nonlinear Schro?dinger equations. One of the important features of such systems is the existence of band gaps in the wave transmission spectra, which support stationary localized modes known as the gap solitons. These localized modes realise a balance between periodicity, dispersion and nonlinearity of the physical system. Written for researchers in applied mathematics, this book mainly focuses on the mathematical properties of the Gross-Pitaevskii equation. It also serves as a reference for theoretical physicists interested in localization in periodic potentials. 410 0$aLondon Mathematical Society lecture note series ;$v390. 606 $aSchro?dinger equation 606 $aGross-Pitaevskii equations 606 $aLocalization theory 615 0$aSchro?dinger equation. 615 0$aGross-Pitaevskii equations. 615 0$aLocalization theory. 676 $a530.12/4 686 $aMAT000000$2bisacsh 686 $aMAT 356f$2stub 700 $aPelinovsky$b Dmitry$0477390 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910813070103321 996 $aLocalization in periodic potentials$9239904 997 $aUNINA LEADER 03574nam 2201045z- 450 001 9910637778403321 005 20221206 010 $a3-0365-5852-7 035 $a(CKB)5470000001631755 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/94561 035 $a(oapen)doab94561 035 $a(EXLCZ)995470000001631755 100 $a20202212d2022 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aQuantitative Assessment of Environmental/Human Health Risks 210 $aBasel$cMDPI - Multidisciplinary Digital Publishing Institute$d2022 215 $a1 online resource (176 p.) 311 08$a3-0365-5851-9 330 $aThis book focuses on the quantitative assessment of environmental and human health risks which are usually evaluated by the ecological risk assessment which is the process for evaluating how likely it is that the environment might be obstructed as a result of exposure to environmental stressors. This book can deliver novel data on the quantitative assessment framework and provide a theoretical basis for follow-up research on the mitigation measures and control strategies for stakeholders. 606 $aBiology, life sciences$2bicssc 606 $aResearch & information: general$2bicssc 610 $a7-ethoxylesorufin O-deethylase 610 $aadsorption 610 $aaerosolization behaviour 610 $aairborne fungi 610 $aalgicidal bacteria 610 $aarsenite pollution 610 $acell proliferation 610 $aCFD simulation 610 $achildren 610 $achromium 610 $acomposting facility 610 $aCyprinus carpio 610 $acytochrome P4501A 610 $adiversity and richness 610 $adriven factors 610 $ae-waste 610 $aenvironmental health 610 $afactor analysis 610 $aferric chloride 610 $aglutathione S-transferase 610 $agreen space 610 $agroundwater safety 610 $ahealth effect 610 $ahealth effects 610 $ahealth risk assessment 610 $aheavy metal pollution 610 $aheavy metals 610 $aLatino population 610 $amalignant transformation 610 $amicrobial community dynamics 610 $anetworks 610 $aNRF2/NQO1 pathway 610 $aobesity 610 $aopen space 610 $apathogenic/allergenic genera 610 $apathogens 610 $apathway 610 $apersonal intake fraction 610 $aphenanthrene ecotoxicology 610 $apollutant dispersion 610 $aprodigiosin 610 $aquorum sensing molecular 610 $areclaimed water 610 $aS-nZVI 610 $asoil and dust ingestion rates 610 $asoil contamination 610 $aspatial epidemiology 610 $asquamous cell carcinoma 610 $asulfidation 610 $atrace elements 610 $atraditional Chinese medicine residual 610 $atranscriptome 610 $atrichloroethylene 610 $aTuscany (Italy) 610 $aurban environment 610 $aurban tree planting 610 $aventilation 615 7$aBiology, life sciences 615 7$aResearch & information: general 700 $aYan$b Cheng$4edt$01295891 702 $aYan$b Cheng$4oth 906 $aBOOK 912 $a9910637778403321 996 $aQuantitative Assessment of Environmental$93023722 997 $aUNINA