Perspectives in Nonlinear Partial Differential Equations: In Honor of Haïm Brezis

Perspectives in Nonlinear Partial Differential Equations: In Honor of Haïm Brezis
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Vladimir V. Chepyzhov , Mark I. Trajectory attractor for reaction-diffusion system with diffusion coefficient vanishing in time. Further studies of a reaction-diffusion system for an unstirred chemostat with internal storage.

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Berezin, and. Er worden per pagina 10 boeken getoond. Foundation Subseries; course held in Cetraro, Italy Stability and uniqueness of traveling wavefronts in a two-dimensional lattice differential equation with delay. Stabilization towards a singular steady state with gradient blow-up for a diffusion-convection problem.

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The structure of the quiescent core in rigidly rotating spirals in a class of excitable systems. Formal asymptotic expansions have long been used to study the singularly perturbed Allen-Cahn type equations and reaction-diffusion systems, including in particular the FitzHugh-Nagumo system. Despite their successful role, it has been largely unclear whether or not such expansions really represent the actual profile of solutions with rather general initial data.

By combining our earlier result and known properties of eternal solutions of the Allen-Cahn equation, we prove validity of the principal term of the formal expansions for a large class of solutions. Keywords: Singular perturbation , reaction-diffusion system. Citation: Matthieu Alfaro, Hiroshi Matano. On the validity of formal asymptotic expansions in Allen-Cahn equation and FitzHugh-Nagumo system with generic initial data. References: [1] M. Google Scholar [2] M. Google Scholar [3] S.

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Google Scholar [16] L. Google Scholar [17] L. Google Scholar [18] K. Google Scholar [19] H. Google Scholar [20] P. Mironescu, Petru Sobolev maps on manifolds: degree, approximation, lifting. Perspectives in nonlinear partial differential equations , —, Contemp. Capacity of the domain and emergence of vortices. Geometric analysis of PDE and several complex variables , 69—, Contemp.

Pure Appl. Noncompact problems at the intersection of geometry, analysis and topology , —, Contemp. Berlyand, Leonid ; Mironescu, Petru Ginzburg-Landau minimizers with prescribed degrees: dependence on domain. Dedicated to the memory of Thomas H.

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Serie A. Dedicated to the memory of Tosio Kato. Discrete Contin. Systems 7 , no. I Math. Differential Integral Equations 13 , no.

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Methods Nonlinear Anal. Rational Mech. Mironescu, Petru Explicit bounds for solutions to a Ginzburg-Landau type equation. Asymptotic Anal. French [Local minimizers for the Ginzburg-Landau equation are radially symmetric] C. Partial Differential Equations 4 , no. The study of a bifurcation problem associated to an asymptotically linear function.

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Nonlinear Anal. Brezis, H.. Haim Brezis and Hoai-Minh Nguyen. Haim Brezis and A. Haim Brezis and Jean Mawhin.

Castro, H. Functional Anal. Serrin, Appendix in the paper by A. Haim Brezis and Petru Mironescu. Please report errors in award information by writing to: awardsearch nsf.

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Perspectives in Nonlinear Partial Differential Equations: In Honor of In celebration of Haïm Brezis's 60th birthday, a conference was held at. Abbreviated Contents. Perspectives in Nonlinear Partial Differential Equations: In Honor of Haim Brezis · Contents · Preface · On Haïm Brézis · Speech of Haïm.

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