Journal of Evolution Equations

Công bố khoa học tiêu biểu

* Dữ liệu chỉ mang tính chất tham khảo

Sắp xếp:  
Weak and strong solvability of parabolic variational inequalities in Banach spaces
Journal of Evolution Equations - Tập 4 - Trang 497-517 - 2004
Matthew Rudd
We consider parabolic variational inequalities having the strong formulation (1) $$ \left\{ {\begin{array}{*{20}c} {\left\langle {u'(t),\,v - \left. {u(t)} \right\rangle + \left\langle {Au(t),} \right.\,v - \left. {u(t)} \right\rangle + \Phi (v) - \Phi (u(t) \geq 0,} \right.} \\ {\forall v \in V^{**...... hiện toàn bộ
Mathematical analysis of a scalar multidimensional conservation law with discontinuous flux
Journal of Evolution Equations - - 2011
Julien Jimenez
Uniqueness for degenerate parabolic equations in weighted $$L^1$$ spaces
Journal of Evolution Equations - Tập 22 - Trang 1-30 - 2022
Camilla Nobili, Fabio Punzo
We study uniqueness of solutions to degenerate parabolic problems, posed in bounded domains, where no boundary conditions are imposed. Under suitable assumptions on the operator, uniqueness is obtained for solutions that satisfy an appropriate integral condition; in particular, such condition holds for possibly unbounded solutions belonging to a suitable weighted ...... hiện toàn bộ
Nonresonant bilinear forms for partially dissipative hyperbolic systems violating the Shizuta–Kawashima condition
Journal of Evolution Equations - Tập 22 - Trang 1-41 - 2022
Roberta Bianchini, Roberto Natalini
In the context of hyperbolic systems of balance laws, the Shizuta–Kawashima coupling condition guarantees that all the variables of the system are dissipative even though the system is not totally dissipative. Hence it plays a crucial role in terms of sufficient conditions for the global in time existence of classical solutions. However, it is easy to find physically based models that do not satis...... hiện toàn bộ
On series of sectorial forms
Journal of Evolution Equations - Tập 14 - Trang 29-47 - 2013
C. J. K. Batty, A. F. M. ter. Elst
We prove a convergence theorem for partial sums of sectorial forms with vertex zero and a common semi-angle. As an example, we prove an absorption theorem for sectorial forms.
Convergence to nonlinear diffusion waves for solutions of Euler-Korteweg equations with damping
Journal of Evolution Equations - Tập 18 - Trang 29-47 - 2017
Haibo Cui, Jing Du
In this paper, we are concerned with the asymptotic behavior of solutions to Euler-Korteweg equations with damping. We prove that the solutions time-asymptotically behave like the nonlinear diffusion wave, as in Hsiao and Liu (Commun Math Phys 143:599–605, 1992) and Nishihara (J Differ Equ 131:171–188, 1996). Moreover, it is also shown that the Euler-Korteweg equations with damping could be a appr...... hiện toàn bộ
Continuum limit of 2D fractional nonlinear Schrödinger equation
Journal of Evolution Equations - Tập 23 Số 2 - 2023
Brian Choi, Alejandro B. Aceves
AbstractWe prove that the solutions to the discrete nonlinear Schrödinger equation with non-local algebraically decaying coupling converge strongly in $$L^2({\mathbb {R}}^2)$$ L 2 ( R 2 ) to those of the continuum fractional nonlinear Schrödinger equation, as the discretization parameter tends to zero. The proof relies on sharp dispersive estimates that yield the Strichartz estimates that are uniform in the discretization parameter. An explicit computation of the leading term of the oscillatory integral asymptotics is used to show that the best constants of a family of dispersive estimates blow up as the non-locality parameter $$\alpha \in (1,2)$$ hiện toàn bộ
Time periodic solutions to the Navier–Stokes equations in the rotational framework
Journal of Evolution Equations - Tập 12 - Trang 985-1000 - 2012
Tsukasa Iwabuchi, Ryo Takada
We consider the Navier–Stokes equations in the rotational framework with the time periodic external force. We give sufficient conditions on the size of the external forces for the existence of time periodic solutions in terms of the Coriolis parameter. It follows from our conditions that the unique existence of time periodic solutions is guaranteed for large external forces provided the speed of r...... hiện toàn bộ
Local Well-posedness of Kinetic Chemotaxis Models
Journal of Evolution Equations - Tập 8 - Trang 423-448 - 2008
Sander C. Hille
We present a general functional analytic setting in which the Cauchy problem for mild solutions of kinetic chemotaxis models is well-posed, locally in time, in general physical dimensions. The models consist of a hyperbolic transport equation that is non-linearly and non-locally coupled to a reaction-diffusion system through kernel operators. Three examples are elaborated throughout the paper in w...... hiện toàn bộ
A Kalman rank condition for the localized distributed controllability of a class of linear parabolic systems
Journal of Evolution Equations - - 2009
Farid Ammar-Khodja, Assia Benabdallah, Cédric Dupaix, Manuel González-Burgos
Tổng số: 787   
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 10