Zobrazeno 1 - 10
of 410
pro vyhledávání: '"35M10"'
Autor:
Biswas, Sanjit, Garain, Prashanta
This article proves the existence and regularity of weak solutions for a class of mixed local-nonlocal problems with singular nonlinearities. We examine both the purely singular problem and perturbed singular problems. A central contribution of this
Externí odkaz:
http://arxiv.org/abs/2412.00755
Autor:
Buchinger, Andreas, Seifert, Christian
We study evolutionary equations in exponentially weighted $\mathrm{L}^{2}$-spaces as introduced by Picard in 2009. First, for a given evolutionary equation, we explicitly describe the $\nu$-adjoint system, which turns out to describe a system backwar
Externí odkaz:
http://arxiv.org/abs/2411.14239
Autor:
Bal, Kaushik, Das, Stuti
This article deals with the study of the following mixed local nonlocal singular quasilinear equation \begin{eqnarray*} \begin{split} -\Delta_pu+(-\Delta)_q^s u&=\frac{f(x)}{u^{\delta}}\text { in } \Omega, \\u&>0 \text{ in } \Omega,\\u&=0 \text { in
Externí odkaz:
http://arxiv.org/abs/2411.14217
In this paper we prove the local-in-time existence of regular solutions to dissipative Aw-Rascle system with the offset equal to gradient of some increasing and regular function of density. It is a mixed degenerate parabolic-hyperbolic hydrodynamic m
Externí odkaz:
http://arxiv.org/abs/2411.03024
In this article, we establish variational characterization of solutions of a mixed local and nonlocal singular semilinear elliptic problem. As an application of this fact, we deduce decomposition property. Further, using moving plane method, we prove
Externí odkaz:
http://arxiv.org/abs/2408.09924
Autor:
Garain, Prashanta
This article is twofold. In the first part of the article, we consider Brezis-Oswald problem involving the mixed anisotropic and nonlocal $p$-Laplace operator and establish existence, uniqueness, boundedness and strong maximum principle. Further, for
Externí odkaz:
http://arxiv.org/abs/2407.17928
This paper is concerned with the large time behavior of the solutions to the Cauchy problem for the one-dimensional compressible Navier-Stokes/Allen-Cahn system with the immiscible two-phase flow initially located near the phase separation state. Und
Externí odkaz:
http://arxiv.org/abs/2407.03547
In this paper, we study the large time behavior and sharp interface limit of the Cauchy problem for compressible Navier-Stokes/Allen-Cahn system with interaction shock waves in the same family. This system is an important mathematical model for descr
Externí odkaz:
http://arxiv.org/abs/2406.01902
Autor:
Bae, Myoungjean
In this paper, two examples of sonic interfaces are presented. The first example shows the case of sonic interfaces as weak discontinuities in self-similar shock configurations of unsteady Euler system. The second example shows the case of sonic inte
Externí odkaz:
http://arxiv.org/abs/2405.05717
In this paper, the large time behavior of the solutions for the Cauchy problem to the one-dimensional compressible Navier-Stokes system with the motion of a viscous heat-conducting perfect polytropic gas is investigated.Our result shows that the comb
Externí odkaz:
http://arxiv.org/abs/2403.15663