Zobrazeno 1 - 10
of 2 334
pro vyhledávání: '"35B35"'
This paper is concerned with a chemotaxis model with logarithmic sensitivity and fast diffusion, which possesses strong singularities for the sensitivity at zero-concentration of chemical signal, and for the diffusion at zero-population of cells, res
Externí odkaz:
http://arxiv.org/abs/2412.09253
Autor:
Xiaowen, Li, Jingyu, Li
Publikováno v:
Journal of Mathematical Study,57 (2024), pp. 331-357
We are interested in the dynamical behaviors of solutions to a parabolic-parabolic chemotaxis-consumption model with a volume-filling effect on a bounded interval, where the physical no-flux boundary condition for the bacteria and mixed Dirichlet-Neu
Externí odkaz:
http://arxiv.org/abs/2412.09242
We construct least squares formulations of PDEs with inhomogeneous essential boundary conditions, where boundary residuals are not measured in unpractical fractional Sobolev norms, but which formulations nevertheless are shown to yield a quasi-best a
Externí odkaz:
http://arxiv.org/abs/2412.05965
Autor:
Margenberg, Nils, Bause, Markus
This paper presents a mathematical foundation for physical models in nonlinear optics through the lens of evolutionary equations. It focuses on two key concepts: well-posedness and exponential stability of Maxwell equations, with models that include
Externí odkaz:
http://arxiv.org/abs/2412.05468
Autor:
Harada, Junichi
This paper investigates the asymptotic behavior of solutions to $u_t=\Delta u+|u|^{p-1}u$ in the Sobolev critical case. Our main result is a classification of the dynamics near the ground states in the six dimensional case. It is shown that solutions
Externí odkaz:
http://arxiv.org/abs/2412.04049
Autor:
Urban, Liam
In this paper, we study the past asymptotics of $(2+1)$-dimensional solutions to the Einstein scalar-field Vlasov system which are close to Friedman-Lema\^itre-Robertson-Walker spacetimes on an initial hypersurface diffeomorphic to a closed orientabl
Externí odkaz:
http://arxiv.org/abs/2412.03396
The Klein-Gordon-Boussinesq (KGB) system is proposed in the literature as a model problem to study the validity of approximations in the long wave limit provided by simpler equations such as KdV, nonlinear Schr\"{o}dinger or Whitham equations. In thi
Externí odkaz:
http://arxiv.org/abs/2411.18173
We study the stability of shock profiles in one spatial dimension for the isothermal Navier-Stokes-Poisson (NSP) system, which describes the dynamics of ions in a collision-dominated plasma. The NSP system admits a one-parameter family of smooth trav
Externí odkaz:
http://arxiv.org/abs/2411.09094
We investigate the stability with respect to homogenization of classes of integrals arising in the control-theoretic interpretation of some Hamilton-Jacobi equations. The prototypical case is the homogenization of energies with a Lagrangian consistin
Externí odkaz:
http://arxiv.org/abs/2411.07756
This note establishes sharp time-asymptotic algebraic rate bounds for the classical evolution problem of Fujita, but with sublinear rather than superlinear exponent. A transitional stability exponent is identified, which has a simple reciprocity rela
Externí odkaz:
http://arxiv.org/abs/2411.07437