000			06005cam a2200709Ki 4500
001			on1101102167
003			OCoLC
005			20241121072742.0
006			m d
007			cr cnu|||unuuu
008			190513s2019 enk o 001 0 eng d
040			_aCAMBR _beng _erda _epn _cCAMBR _dOCLCO _dUIU _dEBLCP _dOCLCF _dN$T
019			_a1103320776
020			_a9781108367639 _q(electronic bk.)
020			_a1108367631 _q(electronic bk.)
020			_z9781108431637 _q(paperback)
020			_a9781108373272 _q(electronic bk.)
020			_a1108373275 _q(electronic bk.)
020			_z1108431631
035			_a2091078 _b(N$T)
035			_a(OCoLC)1101102167 _z(OCoLC)1103320776
050		4	_aQA377 _b.P37 2019
072		7	_aMAT _x005000 _2bisacsh
072		7	_aMAT _x034000 _2bisacsh
082	0	4	_a515/.353 _223
049			_aMAIN
245	0	0	_aPartial differential equations arising from physics and geometry : _ba volume in memory of Abbas Bahri / _cedited by Mohamed Ben Ayed, Mohamed Ali Jendoubi, Yomna R�ba�, Hasna Riahi, Hatem Zaag.
264		1	_aCambridge : _bCambridge University Press, _c2019.
300			_a1 online resource (xvi, 453 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aLondon Mathematical Society lecture note series ; _v450
520			_aIn this edited volume leaders in the field of partial differential equations present recent work on topics in PDEs arising from geometry and physics. The papers originate from a 2015 research school organized by CIMPA and MIMS in Hammamet, Tunisia to celebrate the 60th birthday of the late Professor Abbas Bahri. The opening chapter commemorates his life and work. While the research presented in this book is cutting-edge, the treatment throughout is at a level accessible to graduate students. It includes short courses offering readers a unique opportunity to learn the state of the art in evolution equations and mathematical models in physics, which will serve as an introduction for students and a useful reference for established researchers. Finally, the volume includes many open problems to inspire the next generation.
588	0		_aVendor-supplied metadata.
505	0		_aCover; Series page; Title page; Copyright information; Table of contents; Preface; Abbas Bahri: A Dedicated Life; 0.1 A short biography; 0.2 Mathematical contributions; References; 1 Blow-up Rate for a Semilinear Wave Equation with Exponential Nonlinearity in One Space Dimension; 1.1 Introduction; 1.2 The Local Cauchy Problem; 1.3 Energy Estimates; 1.4 ODE Type Estimates; 1.4.1 Preliminaries; 1.4.2 The Blow-up Rate; 1.5 Blow-up Estimates for Equation (1.1); 1.5.1 Blow-up Estimates in the General Case; 1.5.2 Blow-up Estimates in the Non-characteristic Case; References
505	8		_a2 On the Role of Anisotropy in the Weak Stability of the Navier-Stokes System2.1 Introduction and Statement of Results; 2.1.1 Setting of the Problem; 2.1.2 Statement of the Main Result; 2.1.3 Layout; 2.2 Proof of the Main Theorem; 2.2.1 General Scheme of the Proof; 2.2.2 Anisotropic Profile Decomposition; 2.2.3 Propagation of Profiles; 2.2.4 End of the Proof of the Main Theorem; 2.3 Profile Decomposition of the Sequence of Initial Data: Proof of Theorem 2.12; 2.3.1 Profile Decomposition of Anisotropically Oscillating, Divergence-free Vector Fields
505	8		_a2.3.2 Regrouping of Profiles According to Horizontal Scales2.4 Proof of Theorems 2.14 and 2.15; 2.4.1 Proof of Theorem 2.14; 2.4.2 Proof of [interactionprofilescale1]Theorem 2.15; References; 3 The Motion Law of Fronts for Scalar Reaction-diffusion Equations with Multiple Wells: the Degenerate Case; 3.1 Introduction; 3.1.1 Main Results: Fronts and Their Speed; 3.1.2 Regularized Fronts; 3.1.3 Paving the Way to the Motion Law; 3.1.4 A First Compactness Result; 3.1.5 Refined Estimates Off the Front Set and the Motion Law; 3.2 Remarks on Stationary Solutions
505	8		_a3.2.1 Stationary Solutions on R with Vanishing Discrepancy3.2.2 On the Energy of Chains of Stationary Solutions; 3.2.3 Study of the Perturbed Stationary Equation; 3.3 Regularized Fronts; 3.3.1 Finding Regularized Fronts; 3.3.2 Local Dissipation; 3.3.3 Quantization of the Energy; 3.3.4 Propagating Regularized Fronts; 3.4 First Compactness Results for the Front Points; 3.5 Refined Asymptotics Off the Front Set; 3.5.1 Relaxations Towards Stationary Solutions; 3.5.2 Preliminary Results; 3.5.3 The Attractive Case; 3.5.4 The Repulsive Case; 3.5.5 Estimating the Discrepancy; Linear Estimates
504			_aIncludes bibliographical references.
590			_aMaster record variable field(s) change: 072 - OCLC control number change
650		0	_aEvolution equations, Nonlinear. _911370
650		0	_aDifferential equations, Partial. _911371
650		7	_aDifferential equations, Partial. _2fast _0(OCoLC)fst00893484 _911371
650		7	_aEvolution equations, Nonlinear. _2fast _0(OCoLC)fst00917335 _911370
650		7	_aMATHEMATICS / Calculus _2bisacsh _911372
650		7	_aMATHEMATICS / Mathematical Analysis _2bisacsh _911373
655		0	_aElectronic books. _93907
655		4	_aElectronic books. _93907
700	1		_aBen Ayed, Mohamed, _eeditor. _911374
700	1		_aJendoubi, Mohamed Ali, _eeditor. _911375
700	1		_aR�ba�, Yomna, _eeditor. _911376
700	1		_aRiahi, Hasna, _d1966- _eeditor. _911377
700	1		_aZaag, Hatem, _eeditor. _911378
700	1		_aBahri, Abbas, _ehonoree. _911379
776	0	8	_iPrint version: _tPartial differential equations arising from physics and geometry. _dCambridge : Cambridge University Press 2019 _z9781108431637 _w(OCoLC)1026264197
830		0	_aLondon Mathematical Society lecture note series ; _v450. _911380
856	4	0	_3EBSCOhost _uhttps://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=2091078
938			_aEBL - Ebook Library _bEBLB _nEBL5780807
938			_aEBSCOhost _bEBSC _n2091078
994			_a92 _bN$T
999			_c7068 _d7068