LEADER 01124nas 2200361-- 450 001 9910209456803321 005 20230120001718.0 035 $a(CKB)954928579809 035 $a(CONSER)---66088379- 035 $a(EXLCZ)99954928579809 100 $a20751101b19621993 --- - 101 0 $aeng 181 $ctxt$2rdacontent 200 00$aTelecommunication journal 210 $aGeneva$cInternational Telecommunication Union 215 $a1 online resource 311 $aPrint version: Telecommunication journal. (DLC) 66088379 (OCoLC)1779312 0497-137X 531 $aTELECOMMUN J 531 0 $aTelecommun. j. 606 $aTelecommunication$vPeriodicals 606 $aTelecommunication$2fast$3(OCoLC)fst01145830 606 $aTelecommunicatie$2gtt 608 $aPeriodicals.$2fast 615 0$aTelecommunication 615 7$aTelecommunication. 615 17$aTelecommunicatie. 676 $a384/.05 712 02$aInternational Telecommunication Union. 906 $aJOURNAL 912 $a9910209456803321 920 $aexl_impl conversion 996 $aTelecommunication journal$92582201 997 $aUNINA LEADER 03799nam 2200601z- 450 001 9910404088203321 005 20210211 010 $a3-03928-727-3 035 $a(CKB)4100000011302256 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/41047 035 $a(oapen)doab41047 035 $a(EXLCZ)994100000011302256 100 $a20202102d2020 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aThe Application of Mathematics to Physics and Nonlinear Science 210 $cMDPI - Multidisciplinary Digital Publishing Institute$d2020 215 $a1 online resource (122 p.) 311 08$a3-03928-726-5 330 $aNonlinear science is the science of, among other exotic phenomena, unexpected and unpredictable behavior, catastrophes, complex interactions, and significant perturbations. Ocean and atmosphere dynamics, weather, many bodies in interaction, ultra-high intensity excitations, life, formation of natural patterns, and coupled interactions between components or different scales are only a few examples of systems where nonlinear science is necessary. All outstanding, self-sustained, and stable structures in space and time exist and protrude out of a regular linear background of states mainly because they identify themselves from the rest by being highly localized in range, time, configuration, states, and phase spaces. Guessing how high up you drive toward the top of the mountain by compiling your speed, road slope, and trip duration is a linear model, but predicting the occurrence around a turn of a boulder fallen on the road is a nonlinear phenomenon. In an effort to grasp and understand nonlinear phenomena, scientists have developed several mathematical approaches including inverse scattering theory, Backlund and groups of transformations, bilinear method, and several other detailed technical procedures. In this Special Issue, we introduce a few very recent approaches together with their physical meaning and applications. We present here five important papers on waves, unsteady flows, phases separation, ocean dynamics, nonlinear optic, viral dynamics, and the self-appearance of patterns for spatially extended systems, which are problems that have aroused scientists' interest for decades, yet still cannot be predicted and have their generating mechanism and stability open to debate. The aim of this Special Issue was to present these most debated and interesting topics from nonlinear science for which, despite the existence of highly developed mathematical tools of investigation, there are still fundamental open questions. 610 $aCahn-Hilliard equation 610 $aCauchy problem 610 $acontinuum spectrum pulse equation 610 $aconvergence 610 $adiffusion 610 $aexistence 610 $aexistence and uniqueness theorem 610 $aFaedo-Galerkin approximations 610 $aFeller equation 610 $aFokker-Planck equation 610 $aLagrangian scheme 610 $along-time behavior 610 $aLyapunov functional 610 $amultigrid method 610 $aNavier-Stokes-Voigt equations 610 $anon-Newtonian fluid 610 $aparabolic equations 610 $aprobability distribution 610 $astability 610 $aStokes operator 610 $astrong solutions 610 $aunconditionally gradient stable scheme 610 $auniqueness 610 $aviral infection 610 $aviscoelastic models 700 $aLudu$b Andrei$4auth$0799765 906 $aBOOK 912 $a9910404088203321 996 $aThe Application of Mathematics to Physics and Nonlinear Science$93035317 997 $aUNINA