Keller-Segel Equation
Stiff-response-induced instability for chemotactic bacteria and flux-limited Keller-Segel equation
... flux-limited Keller-Segel equation which is obtained by the asymptotic analysis of the kinetic chemotaxis ...flux-limited Keller-Segel equation, which will be addressed in our ...
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Fractional Keller-Segel Equation: Global Well-posedness and Finite Time Blow-up
... (parabolic-elliptic) Keller-Segel equation models the competition between the aggregation and diffusion of cells (see [8] and references therein for a proper biological and mathematical introduction ...
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p-Laplacian Keller-Segel Equation: Fair Competition and Diffusion Dominated Cases
... (parabolic-elliptic) Keller-Segel equation, which has been extensively studied (see [3]), is a typical ...gregation equation the class of mean field nonlinear conservation equation of ...
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Uniqueness and long time asymptotic for the Keller-Segel equation: The parabolic-elliptic case
... Keywords: Keller-Segel model; chemotaxis; weak solutions; free energy; entropy method; log- arithmic Hardy-Littlewood-Sobolev inequality; Hardy-Littlewood-Sobolev inequality; subcritical mass; uniqueness; ...
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Infinite time blow-up in the Keller-Segel system: existence and stability
... [11] J. D´ avila, M. del Pino, M. Musso, J. Wei, Gluing methods for vortex dynamics in Euler equation. Preprint arXiv:1803.00066. To appear in Arch Rational Mech Anal. [12] E. Carlen; A. Figalli, Stability for a ...
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Existence and stability of infinite time blow-up in the Keller-Segel system
... [10] E. A. Carlen and A. Figalli, Stability for a GNS inequality and the log-HLS inequality, with application to the critical mass Keller-Segel equation, Duke Math. J., 162 (2013), pp. 579–625. [11] ...
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Energy and implicit discretization of the Fokker-Planck and Keller-Segel type equations
... parabolic-elliptic Keller-Segel equation with sensitivity satu- ration, because of its pattern formation ability, is a challenge for numerical sim- ...
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A complete resolution of the Keller maximum clique problem
... d-dimensional Keller graph has vertices which are num- bered with each of the 4 d possible d-digit numbers (d-tuples) which have each digit equal to 0, 1, 2, or ...four. Keller graphs are in the benchmark ...
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SUR L'EQUATION DE SCHRÖDINGER ET L'EQUATION DE DIRAC-WEYL-FOCK.
... SUR L’ ´ EQUATION DE SCHR ¨ ODINGER ET L’ ´ EQUATION DE DIRAC-WEYL-FOCK. JONOT JEAN LOUIS Abstract. We provide some results for the notion of spacetime which allows travel through parts of the universe ...
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The Schrödinger Equation
... Schr¨odinger equation Due to the high dimensionality of the Schr¨odinger equation its solution is only possi- ble for very reduced populations of ...Schr¨odinger equation or by using the Hartree-Fock ...
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Equation générale de degré n
... Tous les corps considérés dans ce chapitre seront de caractéristique nulle.. Mais cet élément[r] ...
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Mean-field limit of a particle approximation of the one-dimensional parabolic--parabolic Keller-Segel model without smoothing
... parabolic–parabolic Keller-Segel model without smoothing Jean-Fran¸cois Jabir ∗ , Denis Talay † and Milica Tomaˇsevi´ c †‡ Abstract: In this work, we prove the well–posedness of a singularly interacting ...
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Keller-Lieb-Thirring inequalities for Schrödinger operators on cylinders
... Next let us consider a function V of x = (s, z) ∈ C. Inspired by the results of [1,10] for Caffarelli-Kohn- Nirenberg inequalities, we can prove that V 1,µ , considered as a function on C, cannot be optimal for the ...
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A new McKean-Vlasov stochastic interpretation of the parabolic-parabolic Keller-Segel model: The two-dimensional case
... parabolic-parabolic Keller-Segel model: The two-dimensional ...parabolic Keller-Segel system without cut-off via a McKean-Vlasov stochastic ...the Keller-Segel system if some ...
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Equation d'une tangente
... Calculer l’équation de la tangente à C, au point A de la courbe d’abscisse 1.. Ceci est l’équation de la tangente cherchée.[r] ...
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Analysis of singularities in elliptic equations : the Ginzburg-Landau model of superconductivity, the Lin-Ni-Takagi problem, the Keller-Segel model of chemotaxis, and conformal geometry
... The key in Ginzburg-Landau analysis has proven to be a vortex ball construction providing both approximation of the vorticity and lower bound.. In 3D started by [ABO05, BJOS12] but not q[r] ...
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Keller-Lieb-Thirring inequalities for Schrödinger operators on cylinders
... de Keller-Lieb-Thirring pour des op´erateurs de Schr¨ odinger sur des cylindres infinis : la valeur absolue de l’´etat fondamental est born´ee par une fonction d’une norme du ...
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The Szegö Cubic Equation
... Hamiltonian equation on the L 2 Hardy space on the circle, i∂ t u = Π( |u| 2 u) , where Π is the Szeg¨ o ...This equation can be seen as a toy model for totally non dispersive evolution ...
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Constitutive Equation Gap
... constitutive equation gap to identification problems initially focused on model updating using vibrational data (experimental information on natural frequencies and modal displacements, possibly after processing ...
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Partial Differential Equation and Noise
... NLS equation, and no small-noise assump- tion is ...NLS equation with random initial condition, the changes of phase of the noise destroy the possibility of creating (with positive probability) solitons ...
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